normal distribution

Time bar (total: 10.4s)

analyze41.0ms (0.4%)

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

Compiled 36 to 26 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 7.0ms (26.3% of total)
ival-mult: 6.0ms (22.5% of total)
ival-<=: 4.0ms (15% of total)
ival-div: 2.0ms (7.5% of total)
ival-log: 2.0ms (7.5% of total)
ival-cos: 2.0ms (7.5% of total)
ival-pi: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
ival-and: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

sample2.3s (22.2%)

Results
1.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 391.0ms (28.6% of total)
ival-log: 280.0ms (20.5% of total)
ival-pow: 213.0ms (15.6% of total)
ival-<=: 147.0ms (10.7% of total)
ival-cos: 104.0ms (7.6% of total)
ival-div: 94.0ms (6.9% of total)
ival-add: 45.0ms (3.3% of total)
ival-pi: 38.0ms (2.8% of total)
const: 28.0ms (2% of total)
ival-and: 27.0ms (2% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess39.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

(abs u2)

explain177.0ms (1.7%)

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
101.0ms512×0valid
Compiler

Compiled 193 to 56 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 19.0ms (32.9% of total)
ival-pow: 13.0ms (22.5% of total)
ival-log: 7.0ms (12.1% of total)
ival-pi: 5.0ms (8.6% of total)
ival-div: 5.0ms (8.6% of total)
ival-cos: 4.0ms (6.9% of total)
ival-add: 3.0ms (5.2% of total)
const: 2.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

eval39.0ms (0.4%)

Compiler

Compiled 18 to 16 computations (11.1% saved)

prune1.0ms (0%)

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

Compiled 18 to 16 computations (11.1% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize62.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
Results
42.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (40.5% of total)
ival-log: 4.0ms (16.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (16.2% of total)
ival-cos: 2.0ms (8.1% of total)
ival-sqrt: 2.0ms (8.1% of total)
ival-pi: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series80.0ms (0.8%)

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

21 calls:

TimeVariablePointExpression
28.0ms
u1
@0
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
21.0ms
u1
@-inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
18.0ms
u2
@inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
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)))))

rewrite263.0ms (2.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01645
16944
240644
3402644
0844244
Stop Event
1×iter limit
1×node limit
Counts
5 → 124
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* (PI) u2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
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(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))

simplify312.0ms (3%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
0811268
12101201
27181175
327391151
435331145
554141145
668481145
770031145
870991145
971691145
1072091145
1172251145
083661145
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2)))) #s(literal 1/6 binary64)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2)))) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))

eval50.0ms (0.5%)

Compiler

Compiled 6247 to 539 computations (91.4% saved)

prune42.0ms (0.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New18919208
Fresh000
Picked101
Done000
Total19019209
Accuracy
100.0%
Counts
209 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(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))
99.1%
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))))
98.7%
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
▶99.2%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
98.7%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
▶99.0%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
98.9%
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
98.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
99.4%
(+.f64 #s(literal 1/2 binary64) (*.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)))
▶99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
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)))))
98.6%
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
99.0%
(*.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))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))))
Compiler

Compiled 1540 to 874 computations (43.2% saved)

simplify184.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
✓cost-diff6208
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
✓cost-diff6208
(+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))
✓cost-diff6336
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
✓cost-diff6080
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))
✓cost-diff6208
(*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))
✓cost-diff6208
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))
✓cost-diff6208
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓cost-diff6528
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6528
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6272
(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))
Rules
2368×*-lowering-*.f32
2368×*-lowering-*.f64
2182×sum4-define
1756×fnmadd-define
1498×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045596
192576
2231557
3572545
41545545
52694545
65531545
08190545
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (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
1/6
1/2
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
1/2
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
u1
(* 1/6 (sqrt -2))
1/6
(sqrt -2)
-2
(+ 1/2 (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
1/6
(pow (pow (* -2 (log u1)) 1/4) 2)
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(/ (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))) (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))
(+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))
1/4
(* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))
-1/36
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(* (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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
(* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))))
(- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4))
1/16
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
4
(/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))
1
(- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))
1/4
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
Outputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(+.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))))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* 1/6 (sqrt -2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ 1/2 (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(pow (pow (* -2 (log u1)) 1/4) 2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(/ (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))) (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))
(/.f64 (+.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 (log.f64 u1) #s(literal 1/18 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
(+ 1/4 (* -1/36 (pow (* (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 (log.f64 u1) #s(literal 1/18 binary64)))))
1/4
#s(literal 1/4 binary64)
(* -1/36 (pow (* (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 (log.f64 u1) #s(literal 1/18 binary64))))
-1/36
#s(literal -1/36 binary64)
(pow (* (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 -2 binary64) (log.f64 u1))))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
(/.f64 (+.f64 (pow.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))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.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 (log.f64 u1) #s(literal -1/18 binary64))))) (+.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))) #s(literal -1/2 binary64))))
(* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))))
(/.f64 (+.f64 (pow.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))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (+.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))) #s(literal -1/2 binary64)))
(- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4))
(-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 4 binary64)))
1/16
#s(literal 1/16 binary64)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 4 binary64))
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
4
#s(literal 4 binary64)
(/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))
(+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
1/4
#s(literal 1/4 binary64)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (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 (log.f64 u1) #s(literal -1/18 binary64))))

localize398.0ms (3.8%)

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%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
Results
269.0ms256×0invalid
Compiler

Compiled 603 to 45 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-log: 57.0ms (39.8% of total)
ival-mult: 22.0ms (15.4% of total)
ival-pow: 21.0ms (14.7% of total)
ival-add: 9.0ms (6.3% of total)
...c/correct-round.rkt:119:19: 9.0ms (6.3% of total)
ival-sub: 7.0ms (4.9% of total)
ival-div: 5.0ms (3.5% of total)
ival-sqrt: 5.0ms (3.5% of total)
compiled-spec: 4.0ms (2.8% of total)
ival-cos: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series100.0ms (1%)

Counts
24 → 396
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))>
#<alt (* (sqrt (log u1)) (* 1/6 (sqrt -2)))>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (+ 1/2 (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (/ (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))) (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))>
#<alt (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))>
#<alt (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))>
#<alt (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)>
#<alt (/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))>
#<alt (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))>
#<alt (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)>
#<alt (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))))>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (sqrt -2)>
#<alt (* 1/6 (sqrt -2))>
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 (* (* (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 (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
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#<alt (/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
Calls

99 calls:

TimeVariablePointExpression
28.0ms
u2
@inf
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
18.0ms
u2
@0
(/ (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))) (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))
6.0ms
u2
@0
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
4.0ms
u2
@-inf
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
3.0ms
u1
@0
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))

rewrite137.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1194×*-lowering-*.f32
1194×*-lowering-*.f64
572×/-lowering-/.f32
572×/-lowering-/.f64
366×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045320
1267288
01867288
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
24 → 343
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
(+ 1/2 (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
(pow (pow (* -2 (log u1)) 1/4) 2)
(/ (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))) (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))
(+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))
(* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(/ (* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
(+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(* (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (/ 1 (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))))
(PI)
(cos (* 2 (* (PI) u2)))
(sqrt -2)
(* 1/6 (sqrt -2))
Outputs
(+.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.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))) #s(literal 2 binary64)) (+.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))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.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))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.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)))) (/.f64 (pow.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))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.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)))))
(fma.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)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (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 #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 (*.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))) #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 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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))) #s(literal -1/2 binary64)) (+.f64 (pow.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))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.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))) (-.f64 #s(literal 1/4 binary64) (pow.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))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.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))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.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 (*.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))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.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))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.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))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.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))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.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))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.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 (*.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))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.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))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.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))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.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))) #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (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)))) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 (pow.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))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.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)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.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))) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.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))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.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 (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 (-.f64 #s(literal 1/4 binary64) (pow.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))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.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))) #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)))))
(exp.f64 (*.f64 (log.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 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.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)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (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)))
(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 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(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))
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/4096 binary64) (pow.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))) #s(literal 12 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (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)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/256 binary64) (+.f64 (pow.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))) #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 4 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/256 binary64) (pow.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))) #s(literal 8 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (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)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64)))) (+.f64 #s(literal -1/2 binary64) (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)))) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (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)))) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.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)))) (-.f64 #s(literal 1/4096 binary64) (pow.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))) #s(literal 12 binary64)))) (+.f64 #s(literal 1/256 binary64) (+.f64 (pow.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))) #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 4 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.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)))) (-.f64 #s(literal 1/256 binary64) (pow.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))) #s(literal 8 binary64)))) (+.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64)))) (+.f64 #s(literal -1/2 binary64) (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)))) #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.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)))))
(*.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.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)))) (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (pow.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))) #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 (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.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))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.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 (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)))))))
(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))))
(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))

simplify662.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
7532×*-lowering-*.f32
7532×*-lowering-*.f64
2008×+-lowering-+.f64
2008×+-lowering-+.f32
1582×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049712601
1165010577
2730510545
0834410545
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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)))))
(* (* (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))))
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(/ (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
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(- (+ (* (pow u2 2) (- (+ (* 1/162 (/ (* (pow (PI) 2) (* (pow (log u1) 2) (pow (sqrt -2) 4))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (* -1/1296 (/ (* (pow (log u1) 2) (* (pow (sqrt -2) 4) (+ (* 8/3 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* 16 (pow (PI) 4)))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 1/162 (/ (* (pow (PI) 2) (* (pow (log u1) 2) (pow (sqrt -2) 4))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (* 1/16 (/ 1 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))) (* 1/1296 (/ (* (pow (log u1) 2) (pow (sqrt -2) 4)) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))))
(- (+ (* (pow u2 2) (- (+ (* 1/162 (/ (* (pow (PI) 2) (* (pow (log u1) 2) (pow (sqrt -2) 4))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (+ (* -1/1296 (/ (* (pow (log u1) 2) (* (pow (sqrt -2) 4) (+ (* 8/3 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* 16 (pow (PI) 4)))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (* -1/1296 (/ (* (pow (log u1) 2) (* (pow (sqrt -2) 4) (+ (* -8 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -16/3 (pow (PI) 6)) (* -16/45 (pow (PI) 6)))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* 1/162 (/ (* (pow (PI) 2) (* (pow (log u1) 2) (pow (sqrt -2) 4))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))) (+ (* 2/135 (* (/ (* (pow (PI) 6) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/1296 (/ (* (pow (log u1) 2) (* (pow (sqrt -2) 4) (+ (* 8/3 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* 16 (pow (PI) 4)))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 1/162 (/ (* (pow (PI) 2) (* (pow (log u1) 2) (pow (sqrt -2) 4))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1))))))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 1/162 (/ (* (pow (PI) 2) (* (pow (log u1) 2) (pow (sqrt -2) 4))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/16 (* 1/1296 (* (pow (log u1) 2) (pow (sqrt -2) 4)))))) (pow (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (* 1/16 (/ 1 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))) (* 1/1296 (/ (* (pow (log u1) 2) (pow (sqrt -2) 4)) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(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))))
Outputs
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(+ 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))))))))
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(+ 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))))))))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
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(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
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(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
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(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 (*.f64 u2 (+.f64 (*.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))

eval167.0ms (1.6%)

Compiler

Compiled 59645 to 2696 computations (95.5% saved)

prune111.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1336111347
Fresh12214
Picked505
Done000
Total1353131366
Accuracy
100.0%
Counts
1366 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶98.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
98.5%
(/.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 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
98.6%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)))))
99.0%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (pow.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))) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.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))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
▶98.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
▶99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (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)))
98.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
▶99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶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)))))
99.2%
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.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)))) #s(literal 1 binary64))))
Compiler

Compiled 600 to 458 computations (23.7% saved)

simplify158.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓cost-diff12992
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓cost-diff12992
(-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓cost-diff12992
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓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-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 (*.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))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.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)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
3060×*-lowering-*.f32
3060×*-lowering-*.f64
2006×fnmadd-define
1346×sum4-define
846×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037339
182333
2159325
3272321
4389319
5672319
61497319
74661319
08046319
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
1/6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
1/2
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6))
1/2
(* (* (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
1/6
(+ 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
(/ (- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4) (- (* (sqrt (* -2 (log u1))) 1/6) 1/2))
(- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4)
(pow (* (sqrt (* -2 (log u1))) 1/6) 2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
2
1/4
(- (* (sqrt (* -2 (log u1))) 1/6) 1/2)
1/2
Outputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6))
(+.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))))))
1/2
#s(literal 1/2 binary64)
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6)
(*.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)))))
(* (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
1/6
#s(literal 1/6 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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (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 (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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(/ (- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4) (- (* (sqrt (* -2 (log u1))) 1/6) 1/2))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4)
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(pow (* (sqrt (* -2 (log u1))) 1/6) 2)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(- (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize224.0ms (2.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.3%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.2%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓accuracy99.9%
(+.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)))))
✓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))))
✓accuracy98.9%
(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 (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)))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.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))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
Results
145.0ms256×0valid
Compiler

Compiled 363 to 38 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 29.0ms (41.7% of total)
ival-log: 8.0ms (11.5% of total)
...c/correct-round.rkt:119:19: 6.0ms (8.6% of total)
ival-add: 5.0ms (7.2% of total)
ival-sqrt: 5.0ms (7.2% of total)
ival-sub: 4.0ms (5.8% of total)
ival-exp: 3.0ms (4.3% of total)
ival-pow: 3.0ms (4.3% of total)
ival-div: 2.0ms (2.9% of total)
ival-cos: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
22 → 348
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6))>
#<alt (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6)>
#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))>
#<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 (/ (- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4) (- (* (sqrt (* -2 (log u1))) 1/6) 1/2))>
#<alt (- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4)>
#<alt (pow (* (sqrt (* -2 (log u1))) 1/6) 2)>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log u1)>
#<alt (- (* (sqrt (* -2 (log u1))) 1/6) 1/2)>
Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (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)))>
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#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
Calls

87 calls:

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

rewrite431.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4886×*-lowering-*.f32
4886×*-lowering-*.f64
4142×/-lowering-/.f32
4142×/-lowering-/.f64
1670×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037199
1207193
21341189
08767189
Stop Event
1×iter limit
1×node limit
Counts
22 → 815
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6))
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6)
(* (sqrt (* -2 (log u1))) (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))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* (log (* -2 (log u1))) 1/2)))
(exp (* (log (* -2 (log u1))) 1/2))
(/ (- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4) (- (* (sqrt (* -2 (log u1))) 1/6) 1/2))
(- (pow (* (sqrt (* -2 (log u1))) 1/6) 2) 1/4)
(pow (* (sqrt (* -2 (log u1))) 1/6) 2)
(* (PI) u2)
(sqrt (- 0 (log u1)))
(log u1)
(- (* (sqrt (* -2 (log u1))) 1/6) 1/2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #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 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #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 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
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simplify303.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4180×*-lowering-*.f32
4180×*-lowering-*.f64
3670×+-lowering-+.f64
3670×+-lowering-+.f32
1984×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01765496
15425001
220454863
329024794
454334782
080854782
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
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(* u2 (PI))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(* u2 (PI))
(* u2 (PI))
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(* (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)))
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Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
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eval202.0ms (1.9%)

Compiler

Compiled 48319 to 2887 computations (94% saved)

prune190.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New156871575
Fresh808
Picked325
Done000
Total157991588
Accuracy
100.0%
Counts
1588 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
98.5%
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
▶98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
▶99.1%
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
▶98.6%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.5%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
✓98.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶98.3%
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓99.4%
(+.f64 #s(literal 1/2 binary64) (*.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)))
Compiler

Compiled 221 to 194 computations (12.2% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓cost-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 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
✓cost-diff6528
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff6528
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff6528
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64))
✓cost-diff6528
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff6272
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff128
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))
✓cost-diff192
(pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓cost-diff192
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
Rules
62×*-lowering-*.f32
62×*-lowering-*.f64
32×fma-define
24×*-commutative
16×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029177
155177
284177
3102177
4115177
5119177
0119177
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
(pow (* (* (log u1) -2) 1/36) 1/2)
(* (* (log u1) -2) 1/36)
(* (log u1) -2)
(log u1)
u1
-2
1/36
1/2
(/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))
1
(/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))
1/2
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/6
1/2
(+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)
(* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)
(exp (* 1/2 (log (* (log u1) -2))))
(* 1/2 (log (* (log u1) -2)))
1/2
(log (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/6
(+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2)
(* (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
1/6
1/2
Outputs
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(pow (* (* (log u1) -2) 1/36) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* (* (log u1) -2) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/36
#s(literal 1/36 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(+.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 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -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)
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(sqrt (* (log u1) -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)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(exp (* 1/2 (log (* (log u1) -2))))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* 1/2 (log (* (log u1) -2)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/2
#s(literal 1/2 binary64)
(log (* (log u1) -2))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
(+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (pow (pow (* (log u1) -2) 1/4) 2) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 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)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)

localize246.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
✓accuracy99.2%
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy99.9%
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.9%
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64))
✓accuracy98.9%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓accuracy100.0%
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.4%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))
Results
194.0ms256×0valid
Compiler

Compiled 216 to 30 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
...c/correct-round.rkt:119:19: 93.0ms (61.2% of total)
ival-pow: 18.0ms (11.8% of total)
ival-mult: 13.0ms (8.6% of total)
ival-add: 7.0ms (4.6% of total)
ival-log: 7.0ms (4.6% of total)
compiled-spec: 4.0ms (2.6% of total)
ival-div: 3.0ms (2% of total)
ival-exp: 3.0ms (2% of total)
ival-sqrt: 2.0ms (1.3% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.6%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)>
#<alt (pow (* (* (log u1) -2) 1/36) 1/2)>
#<alt (* (* (log u1) -2) 1/36)>
#<alt (* (log u1) -2)>
#<alt (/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))>
#<alt (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))>
#<alt (* 1/6 (sqrt (* (log u1) -2)))>
#<alt (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)>
#<alt (sqrt (* (log u1) -2))>
#<alt (log u1)>
#<alt (+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)>
#<alt (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)>
#<alt (exp (* 1/2 (log (* (log u1) -2))))>
#<alt (* 1/2 (log (* (log u1) -2)))>
#<alt (+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2)>
#<alt (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6)>
#<alt (pow (pow (* (log u1) -2) 1/4) 2)>
#<alt (pow (* (log u1) -2) 1/4)>
#<alt (log (* (log u1) -2))>
Outputs
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (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 (+ 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 (* (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 (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -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 (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

60 calls:

TimeVariablePointExpression
18.0ms
u1
@-inf
(* 1/2 (log (* (log u1) -2)))
16.0ms
u1
@inf
(* 1/2 (log (* (log u1) -2)))
14.0ms
u1
@0
(* 1/2 (log (* (log u1) -2)))
3.0ms
u1
@inf
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
1.0ms
u1
@-inf
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)

rewrite317.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3806×*-lowering-*.f32
3806×*-lowering-*.f64
1632×sum5-define
1312×/-lowering-/.f32
1312×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029114
1161113
2905112
36342112
08466112
Stop Event
1×iter limit
1×node limit
Counts
20 → 1526
Calls
Call 1
Inputs
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
(pow (* (* (log u1) -2) 1/36) 1/2)
(* (* (log u1) -2) 1/36)
(* (log u1) -2)
(/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))
(/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(* 1/6 (sqrt (* (log u1) -2)))
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(sqrt (* (log u1) -2))
(log u1)
(+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)
(* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)
(exp (* 1/2 (log (* (log u1) -2))))
(* 1/2 (log (* (log u1) -2)))
(+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2)
(* (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 (* (log u1) -2))
Outputs
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (neg.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(+.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(+.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(-.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(fma.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))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/18 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
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(*.f64 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 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 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (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 1/4 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 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 1/8 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))))
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(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/16 binary64)) (*.f64 (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 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 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 1/8 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 (*.f64 (pow.f64 (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 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #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 1/8 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1))))) (+.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 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))))))
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(/.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 #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))))
(/.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))))))
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(/.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))) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1))))
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(*.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))

simplify110.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
724×fnmadd-define
610×fma-define
544×fma-lowering-fma.f32
544×fma-lowering-fma.f64
484×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0622396
11202232
22172232
33482232
44222232
55262232
67722232
711102232
815252232
918392232
1023612232
1124712232
024712232
Stop Event
1×iter limit
1×saturated
Counts
240 → 240
Calls
Call 1
Inputs
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -1/18))
(* (sqrt (log u1)) (sqrt -1/18))
(* (sqrt (log u1)) (sqrt -1/18))
(* (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))))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (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)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
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(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
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(* 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)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
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(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
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(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(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)
(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
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64))))
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
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(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64))))
(+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64))))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))))
(+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -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 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(+ 1/2 (* 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 (* 1/6 (* (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 (* 1/6 (* (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 (* 1/6 (* (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 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/.f64 #s(literal 1 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))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/.f64 #s(literal 1 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))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/.f64 #s(literal 1 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))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/.f64 #s(literal 1 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))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.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)))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #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 (* 1/6 (* (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 (* 1/6 (* (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 (* 1/6 (* (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 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (* 1/6 (* (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 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (* 1/6 (* (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 #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 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.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 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.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 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.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 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.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 (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))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.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)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(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)))

eval274.0ms (2.6%)

Compiler

Compiled 42561 to 3255 computations (92.4% saved)

prune161.0ms (1.5%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New2071112082
Fresh202
Picked235
Done022
Total2075162091
Accuracy
100.0%
Counts
2091 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
98.8%
(/.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)))
98.9%
(/.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))))
✓98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
98.6%
(+.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))
98.9%
(+.f64 (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)) #s(literal 1/2 binary64))
98.8%
(+.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
98.9%
(+.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))
✓98.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.1%
(+.f64 (*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓98.3%
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.1%
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
98.8%
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
✓99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.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)))
Compiler

Compiled 1423 to 416 computations (70.8% saved)

regimes138.0ms (1.3%)

Counts
50 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 (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)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (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 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (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 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/6 binary64)) #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 #s(literal 1/2 binary64) (*.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)))
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(+.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (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))
(+.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 (+.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 #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) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (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)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 #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 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.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))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (pow.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))) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.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))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Calls

10 calls:

18.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
14.0ms
(*.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)))
14.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
14.0ms
u2
13.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes132.0ms (1.3%)

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

10 calls:

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

Compiled 91 to 78 computations (14.3% saved)

regimes78.0ms (0.7%)

Counts
26 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 (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)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (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 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (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 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/6 binary64)) #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 #s(literal 1/2 binary64) (*.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)))
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(+.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.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)))
Calls

10 calls:

9.0ms
(log.f64 u1)
9.0ms
u1
8.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
8.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
7.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes31.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 (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)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (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 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (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 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/6 binary64)) #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)))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Calls

4 calls:

12.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
6.0ms
u2
6.0ms
(log.f64 u1)
6.0ms
u1
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes37.0ms (0.4%)

Accuracy

Total -63.4b remaining (-10436.8%)

Threshold costs -63.4b (-10436.8%)

Counts
19 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 (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)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (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 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (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 (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/6 binary64)) #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)))
Outputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Calls

4 calls:

13.0ms
(log.f64 u1)
12.0ms
u1
5.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
5.0ms
u2
Results
AccuracySegmentsBranch
99.1%1u1
99.1%1u2
99.1%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.1%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
10×+-commutative_binary64
2×sub0-neg_binary64
2×sub-neg_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03272
15072
25372
35472
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(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))
(+.f64 #s(literal 1/2 binary64) (*.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)))
(+.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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(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 (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))
(+.f64 #s(literal 1/2 binary64) (*.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)))
(+.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 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))

soundness2.0s (19.4%)

Rules
7532×*-lowering-*.f32
7532×*-lowering-*.f64
5942×+-lowering-+.f64
5942×+-lowering-+.f32
5100×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029114
1161113
2905112
36342112
08466112
045320
1267288
01867288
049712601
1165010577
2730510545
0834410545
01645
16944
240644
3402644
0844244
0811268
12101201
27181175
327391151
435331145
554141145
668481145
770031145
870991145
971691145
1072091145
1172251145
083661145
037199
1207193
21341189
08767189
01915
13315
24915
35715
05715
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 264 to 199 computations (24.6% saved)

preprocess62.0ms (0.6%)

Remove

(abs u2)

Compiler

Compiled 402 to 280 computations (30.3% saved)

end0.0ms (0%)

Profiling

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