normal distribution

Time bar (total: 10.8s)

analyze43.0ms (0.4%)

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

Compiled 36 to 26 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 8.0ms (28.8% of total)
ival-log: 6.0ms (21.6% of total)
ival-pow: 5.0ms (18% of total)
ival-div: 2.0ms (7.2% of total)
ival-cos: 2.0ms (7.2% of total)
ival-<=: 2.0ms (7.2% of total)
ival-pi: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
ival-and: 1.0ms (3.6% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (18.3%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 326.0ms (27% of total)
ival-<=: 269.0ms (22.3% of total)
ival-pow: 181.0ms (15% of total)
ival-log: 127.0ms (10.5% of total)
ival-div: 91.0ms (7.5% of total)
ival-cos: 70.0ms (5.8% of total)
ival-add: 44.0ms (3.6% of total)
ival-pi: 34.0ms (2.8% of total)
ival-and: 34.0ms (2.8% of total)
const: 27.0ms (2.2% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess43.0ms (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
110792
222492
346792
462392
579892
6100292
7125392
8136192
9178392
10197792
01915
13615
25215
36015
06015
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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
Call 2
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fmsub (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(fmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(fnmsub (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(fnmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
(fma 1/6 (* (sqrt (* -2 (log u2))) (cos (* u1 (* 2 (PI))))) 1/2)
Symmetry

(abs u2)

explain204.0ms (1.9%)

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
129.0ms512×0valid
Compiler

Compiled 193 to 56 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 17.0ms (32.8% of total)
ival-pow: 11.0ms (21.2% of total)
ival-log: 7.0ms (13.5% of total)
ival-div: 5.0ms (9.6% of total)
ival-cos: 4.0ms (7.7% of total)
ival-add: 3.0ms (5.8% of total)
ival-pi: 2.0ms (3.9% of total)
const: 2.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 16 computations (11.1% saved)

prune1.0ms (0%)

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

Compiled 18 to 16 computations (11.1% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01670
12969
24669
35469
05469
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
Outputs
(+ 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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2

localize78.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.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))))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Results
60.0ms256×0valid
Compiler

Compiled 73 to 17 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (36.4% of total)
...c/correct-round.rkt:119:19: 7.0ms (25.5% of total)
ival-log: 4.0ms (14.6% of total)
ival-cos: 2.0ms (7.3% of total)
ival-sqrt: 2.0ms (7.3% of total)
ival-pi: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series95.0ms (0.9%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -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 (* (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 (* 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
46.0ms
u1
@0
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
23.0ms
u1
@-inf
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
13.0ms
u2
@inf
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
7.0ms
u1
@inf
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1.0ms
u2
@0
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))

rewrite571.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
3100×*-lowering-*.f32
3100×*-lowering-*.f64
2062×fma-lowering-fma.f32
2062×fma-lowering-fma.f64
1944×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01642
17241
241441
3414341
0830141
Stop Event
1×iter limit
1×node limit
Counts
5 → 130
Calls
Call 1
Inputs
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(* -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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.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 -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))))
(fma.f64 (*.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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1))) #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 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 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 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))))
(/.f64 (+.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64)))))))
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(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (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)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (+.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 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 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))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.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)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 u2 (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 u2 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 u2 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 u2 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))

simplify607.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
5980×+-lowering-+.f64
5980×+-lowering-+.f32
5160×*-lowering-*.f32
5160×*-lowering-*.f64
2890×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0821204
12231137
27381111
327851087
435881081
554871081
669441081
771581081
873751081
975291081
1076691081
1177411081
088981081
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))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (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 (*.f64 u2 u2) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64))))) #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 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 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))))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.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))))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (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 (*.f64 u2 u2) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64))))) #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 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 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)))))
(* (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)))))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))

eval26.0ms (0.2%)

Compiler

Compiled 6669 to 593 computations (91.1% saved)

prune31.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New20212214
Fresh000
Picked011
Done000
Total20213215
Accuracy
100.0%
Counts
215 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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)))))
99.3%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
99.1%
(/.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 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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))))))))
99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
▶99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (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)))))))
▶98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (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)))))
▶98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64)))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))))
Compiler

Compiled 788 to 554 computations (29.7% saved)

simplify198.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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)))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))
✓cost-diff128
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64)))
✓cost-diff0
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #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-diff6464
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓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
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.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)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.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))))))
✓cost-diff192
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1)))
Rules
3608×*-lowering-*.f32
3608×*-lowering-*.f64
1462×fma-define
1382×fma-lowering-fma.f32
1382×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046482
1118450
2276441
3745437
42646434
56994434
08246434
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(* (* -2 (log u1)) (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/4
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
1/2
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
u1
(* 1/6 (sqrt -2))
1/6
(sqrt -2)
-2
(+ 1/2 (* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(exp (* 1/2 (log (* -2 (log u1)))))
(* 1/2 (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2)))))
(pow (exp (log (* -2 (log u1)))) 1/2)
(exp (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(/ (- 1/4 (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))) (+ 1/2 (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6))))
(- 1/4 (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36)))
1/4
(* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))
(* -2 (log u1))
-2
(log u1)
u1
(* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36)
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
1/2
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(cos (* 2 (* 2 (* (PI) u2))))
(* 2 (* 2 (* (PI) u2)))
2
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
1/36
(+ 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))) -1/6)
(cos (* 2 (* (PI) u2)))
-1/6
Outputs
(+ 1/2 (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(* (* -2 (log u1)) (* -2 (log u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ 1/2 (* (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 (* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (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) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(exp (* 1/2 (log (* -2 (log u1)))))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (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) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(pow (exp (log (* -2 (log u1)))) 1/2)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(exp (log (* -2 (log u1))))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(/ (- 1/4 (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))) (+ 1/2 (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) (+.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(- 1/4 (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) (+.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))
(*.f64 (log.f64 u1) (+.f64 #s(literal -1/36 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal -1/36 binary64))))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36)
(+.f64 #s(literal 1/72 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1/72 binary64)))
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64))))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))))
(cos (* 2 (* 2 (* (PI) u2))))
(cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64))))
(* 2 (* 2 (* (PI) u2)))
(*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))
2
#s(literal 2 binary64)
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/36
#s(literal 1/36 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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
(sqrt (* -2 (log u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(* (cos (* 2 (* (PI) u2))) -1/6)
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
-1/6
#s(literal -1/6 binary64)

localize444.0ms (4.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
✓accuracy100.0%
(sqrt.f64 (log.f64 u1))
✓accuracy100.0%
(sqrt.f64 #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
Results
343.0ms256×0invalid
Compiler

Compiled 516 to 47 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 26.0ms (25.7% of total)
...c/correct-round.rkt:119:19: 19.0ms (18.8% of total)
ival-pow: 12.0ms (11.9% of total)
ival-div: 11.0ms (10.9% of total)
ival-add: 8.0ms (7.9% of total)
ival-log: 7.0ms (6.9% of total)
ival-exp: 5.0ms (4.9% of total)
ival-sqrt: 5.0ms (4.9% of total)
ival-cos: 4.0ms (4% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series246.0ms (2.3%)

Counts
26 → 372
Calls
Call 1
Inputs
#<alt (* (* -2 (log u1)) (* -2 (log u1)))>
#<alt (+ 1/2 (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)>
#<alt (+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))>
#<alt (* (sqrt (log u1)) (* 1/6 (sqrt -2)))>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (exp (* 1/2 (log (* -2 (log u1)))))>
#<alt (+ 1/2 (* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (exp (log (* -2 (log u1))))>
#<alt (+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (pow (exp (log (* -2 (log u1)))) 1/2)>
#<alt (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))>
#<alt (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36)>
#<alt (* 2 (* 2 (* (PI) u2)))>
#<alt (/ (- 1/4 (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))) (+ 1/2 (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6))))>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* -2 (log u1))>
#<alt (sqrt -2)>
#<alt (* 1/6 (sqrt -2))>
#<alt (cos (* 2 (* 2 (* (PI) u2))))>
Outputs
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1))))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (* (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 (* 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)))))))))>
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#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 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))))>
#<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>
#<alt (+ 1 (* -8 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -8 (pow (PI) 2)) (* 32/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -8 (pow (PI) 2)) (* (pow u2 2) (+ (* -256/45 (* (pow u2 2) (pow (PI) 6))) (* 32/3 (pow (PI) 4)))))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
#<alt (cos (* 4 (* u2 (PI))))>
Calls

93 calls:

TimeVariablePointExpression
86.0ms
u2
@inf
(+ 1/2 (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
71.0ms
u1
@0
(+ 1/2 (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
20.0ms
u1
@0
(* 1/2 (log (* -2 (log u1))))
18.0ms
u1
@-inf
(* 1/2 (log (* -2 (log u1))))
17.0ms
u1
@inf
(* 1/2 (log (* -2 (log u1))))

rewrite111.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1076×*-lowering-*.f32
1076×*-lowering-*.f64
398×/-lowering-/.f32
398×/-lowering-/.f64
366×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046237
1255222
01552222
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
26 → 282
Calls
Call 1
Inputs
(* (* -2 (log u1)) (* -2 (log u1)))
(+ 1/2 (* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
(* (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
(exp (* 1/2 (log (* -2 (log u1)))))
(+ 1/2 (* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(* (exp (* 1/2 (log (* -2 (log u1))))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* 1/2 (log (* -2 (log u1))))
(exp (log (* -2 (log u1))))
(+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2))))))
(* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 (cos (* 2 (* (PI) u2)))))
(pow (exp (log (* -2 (log u1)))) 1/2)
(* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))
(* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36)
(* 2 (* 2 (* (PI) u2)))
(/ (- 1/4 (* (* -2 (log u1)) (* (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) 1/36))) (+ 1/2 (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6))))
(PI)
(cos (* 2 (* (PI) u2)))
(* -2 (log u1))
(sqrt -2)
(* 1/6 (sqrt -2))
(cos (* 2 (* 2 (* (PI) u2))))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) (*.f64 (log.f64 u1) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 u1) #s(literal 4 binary64)) (log.f64 u1))
(*.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (log.f64 u1)) (log.f64 u1))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (/.f64 (pow.f64 (*.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (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))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 3 binary64))) (+.f64 (pow.f64 (*.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 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(/.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(*.f64 (*.f64 #s(literal 1/6 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 #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 #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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (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 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 u1))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(*.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(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 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (log.f64 u1))))
(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))
(+.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sin.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 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sin.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (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 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))

simplify412.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
6420×*-lowering-*.f32
6420×*-lowering-*.f64
3412×+-lowering-+.f64
3412×+-lowering-+.f32
952×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03246498
110096044
238195920
080175920
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))
(+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))
(+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))
(+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1)))))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
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(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 1/36 (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))
(- (+ (* (pow u2 2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (* 1/4 (/ 1 (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (* -1/18 (/ (log u1) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))))
(- (+ (* (pow u2 2) (- (+ (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (* 8/27 (/ (* (pow (PI) 4) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (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) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (* 1/4 (/ 1 (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (* -1/18 (/ (log u1) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))))
(- (+ (* (pow u2 2) (- (+ (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (+ (* 8/27 (/ (* (pow (PI) 4) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (* -64/405 (/ (* (pow (PI) 6) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (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) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 8/27 (/ (* (pow (PI) 4) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (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) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (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) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (* 1/4 (/ 1 (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (* -1/18 (/ (log u1) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))
(/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 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))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
1
(+ 1 (* -8 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -8 (pow (PI) 2)) (* 32/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -8 (pow (PI) 2)) (* (pow u2 2) (+ (* -256/45 (* (pow u2 2) (pow (PI) 6))) (* 32/3 (pow (PI) 4)))))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
(cos (* 4 (* u2 (PI))))
Outputs
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))))))
(+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))))
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eval99.0ms (0.9%)

Compiler

Compiled 27976 to 1783 computations (93.6% saved)

prune74.0ms (0.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New94914963
Fresh437
Picked415
Done011
Total95719976
Accuracy
100.0%
Counts
976 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
98.4%
(/.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
99.3%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
98.2%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 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))))))))
▶98.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
98.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
98.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
▶98.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶98.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
▶99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
98.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))))
98.4%
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
Compiler

Compiled 909 to 668 computations (26.5% saved)

simplify172.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))))
✓cost-diff256
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))))
✓cost-diff0
(exp.f64 #s(literal 1/2 binary64))
✓cost-diff0
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓cost-diff64
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
Rules
2956×*-lowering-*.f32
2956×*-lowering-*.f64
1352×fnmadd-define
1130×fmsub-define
1068×unsub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
050445
1123428
2298423
3801420
42516420
54251417
08177417
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
1
u1
(sqrt 2)
2
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1)))
1/2
(* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1))
(pow (exp (log (* -2 (log u1)))) 1/2)
(exp (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 1)
1/6
1
(+ 1/2 (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(pow (exp 1/2) (log (* -2 (log u1))))
(exp 1/2)
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))) (+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1)))))))
1
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))
1/2
(* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1)))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* -1/6 (sqrt (* -2 (log u1))))
-1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36))
1/4
(* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)
(* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4)))))
(+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))
(* 1/2 (cos (* (* (PI) u2) 4)))
(cos (* (* (PI) u2) 4))
(* (* (PI) u2) 4)
4
-1/36
Outputs
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(log (/ 1 u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
1
#s(literal 1 binary64)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(* 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
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
1/2
#s(literal 1/2 binary64)
(* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow (exp (log (* -2 (log u1)))) 1/2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(exp (log (* -2 (log u1))))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 1)
#s(literal 1/6 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(+ 1/2 (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (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) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
1/2
#s(literal 1/2 binary64)
(* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(pow (exp 1/2) (log (* -2 (log u1))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(exp 1/2)
(exp.f64 #s(literal 1/2 binary64))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))) (+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1)))))
(*.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)))
(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 (sqrt (* -2 (log u1))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))))
1/4
#s(literal 1/4 binary64)
(* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)
(*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))
(* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4)))))
(*.f64 (log.f64 u1) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))
(+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))
(* 1/2 (cos (* (* (PI) u2) 4)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))
(cos (* (* (PI) u2) 4))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))
(* (* (PI) u2) 4)
(*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1/36
#s(literal -1/36 binary64)

localize346.0ms (3.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))))
✓accuracy99.5%
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy98.5%
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓accuracy99.8%
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓accuracy98.2%
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.8%
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.3%
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
Results
242.0ms256×0valid
Compiler

Compiled 475 to 51 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 32.0ms (33.6% of total)
...c/correct-round.rkt:119:19: 12.0ms (12.6% of total)
ival-log: 10.0ms (10.5% of total)
ival-add: 9.0ms (9.5% of total)
ival-pow: 9.0ms (9.5% of total)
ival-exp: 6.0ms (6.3% of total)
ival-div: 5.0ms (5.3% of total)
ival-sqrt: 5.0ms (5.3% of total)
ival-cos: 4.0ms (4.2% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series142.0ms (1.3%)

Counts
25 → 384
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (exp (log (* -2 (log u1))))>
#<alt (* 1/6 1)>
#<alt (pow (exp (log (* -2 (log u1)))) 1/2)>
#<alt (+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1)))>
#<alt (+ 1/2 (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (pow (exp 1/2) (log (* -2 (log u1))))>
#<alt (exp 1/2)>
#<alt (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4)))))>
#<alt (* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))) (+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)))>
#<alt (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1)))))))>
#<alt (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))>
#<alt (* (PI) u2)>
#<alt (log u1)>
#<alt (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1))>
#<alt (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)>
#<alt (* -1/6 (sqrt (* -2 (log u1))))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (/ 1 u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (/ 1 u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 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 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (/ 1 u1))))))))>
#<alt (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (/ 1 u1))))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (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))) (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) (log (/ -1 u1)))))>
#<alt (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
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#<alt (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 3)))))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))) (+ (* 2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 3))))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 3)))))) (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (/ 1 (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 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 (+ (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (* 1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1))))))>
#<alt (+ 1/2 (+ (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))) (* 1/3 (* (* (pow (PI) 2) (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) (+ (* -1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))) (* 2/135 (* (* (pow u2 2) (* (pow (PI) 6) (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 (+ 1/2 (* -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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (* 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 (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/18 (log u1))>
#<alt (+ (* -2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))) (* 1/18 (log u1)))>
#<alt (+ (* 1/18 (log u1)) (* (pow u2 2) (+ (* -2/9 (* (pow (PI) 2) (log u1))) (* 8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))))))>
#<alt (+ (* 1/18 (log u1)) (* (pow u2 2) (+ (* -2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))) (* 8/27 (* (pow (PI) 4) (log u1))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
Calls

96 calls:

TimeVariablePointExpression
65.0ms
u2
@inf
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2))))))
17.0ms
u2
@inf
(+ 1/2 (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
14.0ms
u1
@0
(+ 1/2 (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
12.0ms
u1
@-inf
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2))))))
2.0ms
u2
@0
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))) (+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)))

rewrite474.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
4504×*-lowering-*.f32
4504×*-lowering-*.f64
2890×/-lowering-/.f32
2890×/-lowering-/.f64
2130×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050248
1271229
21897227
09350227
Stop Event
1×iter limit
1×node limit
Counts
25 → 689
Calls
Call 1
Inputs
(+ 1/2 (* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2))))))
(* (* (sqrt (log (/ 1 u1))) (sqrt 2)) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(sqrt (log (/ 1 u1)))
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(exp (log (* -2 (log u1))))
(* 1/6 1)
(pow (exp (log (* -2 (log u1)))) 1/2)
(+ 1/2 (* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1)))
(+ 1/2 (* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(* (pow (exp 1/2) (log (* -2 (log u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(pow (exp 1/2) (log (* -2 (log u1))))
(exp 1/2)
(* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4)))))
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))) (+ 1/4 (* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1)))))))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* -1/6 (sqrt (* -2 (log u1))))))
(* (PI) u2)
(log u1)
(* (pow (exp (log (* -2 (log u1)))) 1/2) (* 1/6 1))
(* (* (* -2 (log u1)) (+ 1/2 (* 1/2 (cos (* (* (PI) u2) 4))))) -1/36)
(* -1/6 (sqrt (* -2 (log u1))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (*.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (*.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 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) (pow.f64 (*.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 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #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 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
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(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) u2)
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simplify423.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
7472×*-lowering-*.f32
7472×*-lowering-*.f64
2822×+-lowering-+.f64
2822×+-lowering-+.f32
1092×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03397106
110906576
245096564
084136564
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
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eval172.0ms (1.6%)

Compiler

Compiled 50339 to 3354 computations (93.3% saved)

prune154.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1399101409
Fresh12012
Picked415
Done022
Total1415131428
Accuracy
100.0%
Counts
1428 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
98.3%
(+.f64 (*.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))) #s(literal 1/2 binary64))
▶98.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
98.3%
(+.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 1/2 binary64))
97.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
97.4%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (E.f64) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓98.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
▶98.0%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶98.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓99.4%
(+.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
✓98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
▶98.3%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
Compiler

Compiled 374 to 316 computations (15.5% saved)

simplify171.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)))
✓cost-diff128
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓cost-diff128
(*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓cost-diff6528
(exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))
✓cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) u1))
✓cost-diff0
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
Rules
3176×fma-define
2572×fnmadd-define
1380×fmsub-define
1308×fnmsub-define
1254×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038259
184235
2156233
3278233
4597233
51145233
61737233
72247233
84119233
94411233
104998233
117199233
127606233
137828233
08001233
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6)))
1/2
(* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
1
u1
(* (sqrt 2) 1/6)
(sqrt 2)
2
1/6
(+ (* 1/6 (exp (/ (log (* -2 (log u1))) 2))) 1/2)
(* 1/6 (exp (/ (log (* -2 (log u1))) 2)))
1/6
(exp (/ (log (* -2 (log u1))) 2))
(/ (log (* -2 (log u1))) 2)
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
2
1/2
(+ (* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4)) 1/2)
(* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4))
1/6
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (* -2 (log u1)) 2)
(* -2 (log u1))
-2
(log u1)
u1
2
1/4
1/2
(+ 1/2 (* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1)))
1/2
(* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1))
(* (sqrt 2) (sqrt (log (/ 1 u1))))
(sqrt 2)
2
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
1
u1
(* 1/6 1)
1/6
(* (- 1/4 (* (* -2 (log u1)) 1/36)) (/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6))))
(- 1/4 (* (* -2 (log u1)) 1/36))
1/4
(* (* -2 (log u1)) 1/36)
(* -2 (log u1))
-2
(log u1)
u1
1/36
(/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6)))
1
(+ 1/2 (* (sqrt (* -2 (log u1))) -1/6))
1/2
(* (sqrt (* -2 (log u1))) -1/6)
(sqrt (* -2 (log u1)))
-1/6
Outputs
(+ 1/2 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(log (/ 1 u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
1
#s(literal 1 binary64)
u1
(* (sqrt 2) 1/6)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/6
#s(literal 1/6 binary64)
(+ (* 1/6 (exp (/ (log (* -2 (log u1))) 2))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(* 1/6 (exp (/ (log (* -2 (log u1))) 2)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(exp (/ (log (* -2 (log u1))) 2))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(/ (log (* -2 (log u1))) 2)
(/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4)) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 2)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(* (sqrt 2) (sqrt (log (/ 1 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(log (/ 1 u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
1
#s(literal 1 binary64)
u1
(* 1/6 1)
#s(literal 1/6 binary64)
1/6
#s(literal 1/6 binary64)
(* (- 1/4 (* (* -2 (log u1)) 1/36)) (/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6))))
(/.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))) #s(literal -1/6 binary64))))
(- 1/4 (* (* -2 (log u1)) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* -2 (log u1)) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/36
#s(literal 1/36 binary64)
(/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(+ 1/2 (* (sqrt (* -2 (log u1))) -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (sqrt (* -2 (log u1))) -1/6)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
-1/6
#s(literal -1/6 binary64)

localize281.0ms (2.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
✓accuracy99.5%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
✓accuracy99.3%
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓accuracy99.8%
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓accuracy99.9%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓accuracy99.2%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
✓accuracy99.9%
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))))
✓accuracy98.9%
(exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) u1))
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
✓accuracy99.8%
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓accuracy99.6%
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
Results
210.0ms256×0valid
Compiler

Compiled 284 to 40 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
...c/correct-round.rkt:119:19: 39.0ms (37.6% of total)
ival-mult: 19.0ms (18.3% of total)
ival-add: 10.0ms (9.6% of total)
ival-log: 10.0ms (9.6% of total)
ival-pow: 8.0ms (7.7% of total)
ival-div: 7.0ms (6.7% of total)
ival-sqrt: 6.0ms (5.8% of total)
ival-exp: 3.0ms (2.9% of total)
ival-sub: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
23 → 264
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (log (/ 1 u1))>
#<alt (exp (/ (log (* -2 (log u1))) 2))>
#<alt (+ (* 1/6 (exp (/ (log (* -2 (log u1))) 2))) 1/2)>
#<alt (* 1/6 (exp (/ (log (* -2 (log u1))) 2)))>
#<alt (/ (log (* -2 (log u1))) 2)>
#<alt (+ (* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4)) 1/2)>
#<alt (* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4))>
#<alt (pow (pow (* -2 (log u1)) 2) 1/4)>
#<alt (pow (* -2 (log u1)) 2)>
#<alt (* 1/6 1)>
#<alt (+ 1/2 (* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1)))>
#<alt (* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1))>
#<alt (* (sqrt 2) (sqrt (log (/ 1 u1))))>
#<alt (* (- 1/4 (* (* -2 (log u1)) 1/36)) (/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6))))>
#<alt (* (* -2 (log u1)) 1/36)>
#<alt (- 1/4 (* (* -2 (log u1)) 1/36))>
#<alt (* -2 (log u1))>
#<alt (log (* -2 (log u1)))>
#<alt (* (sqrt (* -2 (log u1))) -1/6)>
#<alt (/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6)))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -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 (* 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 (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 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
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#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -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))) (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) (log (/ -1 u1)))))>
#<alt (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (- 1/4 (* -1/18 (log u1)))>
#<alt (- 1/4 (* -1/18 (log u1)))>
#<alt (- 1/4 (* -1/18 (log u1)))>
#<alt (- 1/4 (* -1/18 (log u1)))>
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))>
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))>
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))>
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))>
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<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)))))))))>
Calls

66 calls:

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

rewrite366.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3154×*-lowering-*.f32
3154×*-lowering-*.f64
2496×/-lowering-/.f32
2496×/-lowering-/.f64
1424×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038164
1207147
21309137
09192137
Stop Event
1×iter limit
1×node limit
Counts
23 → 1327
Calls
Call 1
Inputs
(+ 1/2 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6)))
(* (sqrt (log (/ 1 u1))) (* (sqrt 2) 1/6))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(exp (/ (log (* -2 (log u1))) 2))
(+ (* 1/6 (exp (/ (log (* -2 (log u1))) 2))) 1/2)
(* 1/6 (exp (/ (log (* -2 (log u1))) 2)))
(/ (log (* -2 (log u1))) 2)
(+ (* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4)) 1/2)
(* 1/6 (pow (pow (* -2 (log u1)) 2) 1/4))
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (* -2 (log u1)) 2)
(* 1/6 1)
(+ 1/2 (* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1)))
(* (* (sqrt 2) (sqrt (log (/ 1 u1)))) (* 1/6 1))
(* (sqrt 2) (sqrt (log (/ 1 u1))))
(* (- 1/4 (* (* -2 (log u1)) 1/36)) (/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6))))
(* (* -2 (log u1)) 1/36)
(- 1/4 (* (* -2 (log u1)) 1/36))
(* -2 (log u1))
(log (* -2 (log u1)))
(* (sqrt (* -2 (log u1))) -1/6)
(/ 1 (+ 1/2 (* (sqrt (* -2 (log u1))) -1/6)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.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 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (neg.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))) (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (/.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(fma.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)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (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)) #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) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
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simplify209.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2452×*-lowering-*.f32
2452×*-lowering-*.f64
2072×sum3-define
1324×fma-lowering-fma.f32
1324×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0942756
12362604
25402580
310822580
421002580
548402580
081232580
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))))
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(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
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(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(sqrt (log (/ 1 u1)))
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(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
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(sqrt (+ (log -1) (log (/ -1 u1))))
(* -1 (log u1))
(* -1 (log u1))
(* -1 (log u1))
(* -1 (log u1))
(log (/ 1 u1))
(log (/ 1 u1))
(log (/ 1 u1))
(log (/ 1 u1))
(+ (log -1) (log (/ -1 u1)))
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(+ (log -1) (log (/ -1 u1)))
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(* (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))))))
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(* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
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(* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))
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(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(* -1/18 (log u1))
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(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* -2 (log u1))
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(* 2 (log (/ 1 u1)))
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(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* -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)))))))
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(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ 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)))))))))
(/ 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)))))))))
Outputs
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
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(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
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(* 1/6 (* (sqrt (log (/ 1 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))))
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(- 1/4 (* -1/18 (log u1)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* -1/18 (log u1)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* -1/18 (log u1)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* -1/18 (log u1)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* 1/18 (log (/ 1 u1))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* 1/18 (log (/ 1 u1))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* 1/18 (log (/ 1 u1))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* 1/18 (log (/ 1 u1))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(* -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 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 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 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(/ 1 (+ 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)))))))))
(/.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))))))

eval174.0ms (1.6%)

Compiler

Compiled 48151 to 2786 computations (94.2% saved)

prune192.0ms (1.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New178241786
Fresh145
Picked325
Done033
Total1786131799
Accuracy
100.0%
Counts
1799 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
98.3%
(+.f64 (*.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))) #s(literal 1/2 binary64))
98.6%
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓98.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
98.3%
(+.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 1/2 binary64))
97.4%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (E.f64) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
✓98.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓98.0%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓99.4%
(+.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
✓98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
98.3%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
Compiler

Compiled 1110 to 372 computations (66.5% saved)

regimes149.0ms (1.4%)

Counts
42 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (E.f64) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #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 1/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.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))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #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 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.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 (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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #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 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) #s(literal -1/36 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 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 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/36 binary64))) #s(literal 3/2 binary64))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
Calls

10 calls:

16.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
13.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
13.0ms
(*.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)))
12.0ms
(+.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))
12.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes85.0ms (0.8%)

Counts
24 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (E.f64) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #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 1/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.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))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) 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))))))
Calls

10 calls:

16.0ms
(log.f64 u1)
9.0ms
u2
8.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
8.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
7.0ms
(+.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)

regimes20.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (E.f64) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
Calls

4 calls:

7.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
4.0ms
u2
4.0ms
u1
4.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
98.7%1u1
98.7%1u2
98.7%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.7%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -63.1b remaining (-6644.7%)

Threshold costs -63.1b (-6644.7%)

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

4 calls:

4.0ms
(log.f64 u1)
2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
u1
1.0ms
u2
Results
AccuracySegmentsBranch
98.5%1u1
98.5%1(log.f64 u1)
98.5%1u2
98.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
10×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03155
15155
25355
35455
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 #s(literal 1/2 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 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 #s(literal 1/2 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) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))

soundness1.9s (17.6%)

Rules
7472×*-lowering-*.f32
7472×*-lowering-*.f64
6420×*-lowering-*.f32
6420×*-lowering-*.f64
5980×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046237
1255222
01552222
03397106
110906576
245096564
084136564
01642
17241
241441
3414341
0830141
01915
13615
25215
36015
06015
038164
1207147
21309137
09192137
03246498
110096044
238195920
080175920
0821204
12231137
27381111
327851087
435881081
554871081
669441081
771581081
873751081
975291081
1076691081
1177411081
088981081
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 264 to 214 computations (18.9% saved)

preprocess43.0ms (0.4%)

Remove

(abs u2)

Compiler

Compiled 326 to 244 computations (25.2% saved)

end0.0ms (0%)

Profiling

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