VandenBroeck and Keller, Equation (6)

Time bar (total: 18.7s)

analyze269.0ms (1.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 50.0ms (35.6% of total)
ival-tan: 40.0ms (28.5% of total)
ival-div: 20.0ms (14.3% of total)
ival-sub: 15.0ms (10.7% of total)
ival-pi: 13.0ms (9.3% of total)
const: 3.0ms (2.1% of total)
backward-pass: 1.0ms (0.7% of total)

sample4.4s (23.6%)

Results
3.4s3764×1valid
429.0ms4396×0valid
206.0ms96×2valid
1.0ms2×5exit
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-tan: 3.1s (81.9% of total)
ival-mult: 319.0ms (8.5% of total)
ival-div: 150.0ms (4% of total)
ival-pi: 71.0ms (1.9% of total)
ival-sub: 61.0ms (1.6% of total)
backward-pass: 60.0ms (1.6% of total)
const: 15.0ms (0.4% of total)
Bogosity

preprocess123.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
930×fnmadd-define
788×fma-define
760×fmsub-define
756×fnmsub-define
676×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02876
19466
229266
377266
4170066
5267966
6361066
7424866
8436066
9436866
01012
12611
26511
315211
426711
547011
671211
799211
8140611
9220511
10238611
11247011
12248611
0248611
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Call 2
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(fmsub (PI) l (/ (tan (* (PI) l)) (* F F)))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(fmsub (PI) l (/ (tan (* (PI) l)) (* F F)))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(fnmadd (PI) l (/ (tan (* (PI) l)) (* F F)))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(fnmadd (PI) l (/ (tan (* (PI) l)) (* F F)))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(fmsub (PI) l (/ (tan (* (PI) l)) (* F F)))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
(fmsub (PI) F (/ (tan (* (PI) F)) (* l l)))
Symmetry

(abs F)

(negabs l)

explain409.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-0-(tan.f64 (*.f64 (PI.f64) l))
390-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
41(1.7654454311446725e+161 1.2147697803699892e-285)0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(PI.f64)
00-0-F
00-0-l
00-0-(*.f64 F F)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (PI.f64) l)
Results
160.0ms158×1valid
97.0ms56×2valid
72.0ms22×3valid
33.0ms276×0valid
Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-tan: 267.0ms (83.1% of total)
ival-mult: 26.0ms (8.1% of total)
ival-pi: 10.0ms (3.1% of total)
backward-pass: 7.0ms (2.2% of total)
ival-div: 6.0ms (1.9% of total)
ival-sub: 4.0ms (1.2% of total)
const: 1.0ms (0.3% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶79.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 30 to 18 computations (40% saved)

simplify50.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Rules
708×fnmadd-define
684×fma-define
506×sum3-define
452×fmsub-define
402×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01273
13469
27669
316269
427769
548669
677169
7104869
8148569
9240169
10258169
11266569
12268169
0268169
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (PI) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(* (PI) l)
(PI)
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F F)
F
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* F F)
(*.f64 F F)
F

localize268.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy85.7%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy55.4%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy85.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy55.4%
(tan.f64 (*.f64 (PI.f64) l))
Results
114.0ms79×1valid
52.0ms28×2valid
40.0ms11×3valid
19.0ms138×0valid
Compiler

Compiled 79 to 13 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-tan: 138.0ms (82.3% of total)
ival-mult: 10.0ms (6% of total)
ival-div: 6.0ms (3.6% of total)
ival-sub: 6.0ms (3.6% of total)
backward-pass: 5.0ms (3% of total)
ival-pi: 2.0ms (1.2% of total)
const: 1.0ms (0.6% of total)

series13.0ms (0.1%)

Counts
8 → 132
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))>
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (/ (tan (* (PI) l)) (* F F))>
#<alt (tan (* (PI) l))>
#<alt (/ 1 (* F F))>
Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
2.0ms
F
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
l
@-inf
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))

rewrite327.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
5116×*-lowering-*.f32
5116×*-lowering-*.f64
2786×/-lowering-/.f32
2786×/-lowering-/.f64
1334×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
110049
266449
0848449
Stop Event
1×iter limit
1×node limit
Counts
8 → 526
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (/ 1 (* F F)) (tan (* (PI) l)))
(* (PI) l)
(PI)
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(/ 1 (* F F))
Outputs
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (*.f64 (PI.f64) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (+.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (+.f64 (*.f64 (PI.f64) l) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(+.f64 (+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(+.f64 (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)) (*.f64 (PI.f64) l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)) (*.f64 (PI.f64) l)) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (-.f64 (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(-.f64 (*.f64 (PI.f64) l) (-.f64 (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))
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(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
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(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
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(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
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(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 F (*.f64 F (*.f64 F F))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
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(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F))

simplify393.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
5744×*-lowering-*.f32
5744×*-lowering-*.f64
3298×+-lowering-+.f64
3298×+-lowering-+.f32
1758×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492431
14702287
217552051
081352051
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
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(* l (PI))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (* l (PI)) (pow F 2))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))))))) (/.f64 (/.f64 (PI.f64) F) F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (/.f64 (PI.f64) F) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))))))) (/.f64 (/.f64 (PI.f64) F) F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (/.f64 (PI.f64) F) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 l l) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))))))))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)

eval218.0ms (1.2%)

Compiler

Compiled 25493 to 1634 computations (93.6% saved)

prune96.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New95318971
Fresh000
Picked112
Done000
Total95419973
Accuracy
99.5%
Counts
973 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
37.0%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
79.9%
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
79.7%
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
85.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶85.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
52.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
71.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
80.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓80.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶85.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))))
79.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
▶71.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
▶79.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))))
37.0%
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
51.9%
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
70.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 704 to 416 computations (40.9% saved)

simplify127.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff6656
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)
✓cost-diff6656
(tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))
✓cost-diff6784
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)))
✓cost-diff6784
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
✓cost-diff128
(/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))))
✓cost-diff256
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓cost-diff256
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (PI.f64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
Rules
1582×fma-define
1532×sum4-define
1306×*-lowering-*.f32
1306×*-lowering-*.f64
1264×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026180
178170
2224169
3596169
41093169
51741169
63249169
76161169
08029169
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/ 1 F)
1
F
(/ F (tan (* (PI) l)))
(tan (* (PI) l))
(* l (PI))
l
(PI)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (* l (PI)))
(/ 1 (* F F))
1
(* F F)
F
(* l (PI))
(- (* (PI) l) (/ 1 (/ F (* (/ 1 F) (tan (* (PI) l))))))
(* (PI) l)
(PI)
l
(/ 1 (/ F (* (/ 1 F) (tan (* (PI) l)))))
1
(/ F (* (/ 1 F) (tan (* (PI) l))))
F
(* (/ 1 F) (tan (* (PI) l)))
(/ 1 F)
(tan (* (PI) l))
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
Outputs
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ F (tan (* (PI) l)))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* l (PI))
(*.f64 (PI.f64) l)
l
(PI)
(PI.f64)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (* l (PI)))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(* l (PI))
(*.f64 (PI.f64) l)
(- (* (PI) l) (/ 1 (/ F (* (/ 1 F) (tan (* (PI) l))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ 1 (/ F (* (/ 1 F) (tan (* (PI) l)))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
1
#s(literal 1 binary64)
(/ F (* (/ 1 F) (tan (* (PI) l))))
(/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))
F
(* (/ 1 F) (tan (* (PI) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(tan.f64 (*.f64 (PI.f64) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(*.f64 (PI.f64) l)
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))

localize3.5s (18.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.1%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy94.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)))
✓accuracy56.1%
(PI.f64)
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy99.3%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))))
✓accuracy56.1%
(PI.f64)
✓accuracy99.8%
(*.f64 l (PI.f64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy94.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓accuracy56.1%
(PI.f64)
✓accuracy99.8%
(*.f64 l (PI.f64))
✓accuracy56.1%
(PI.f64)
✓accuracy99.8%
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy99.3%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy56.1%
(PI.f64)
Results
3.4s116×5exit
67.0ms138×0valid
1.0ms2×1valid
Compiler

Compiled 232 to 27 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-tan: 3.1s (93.7% of total)
ival-mult: 81.0ms (2.5% of total)
backward-pass: 45.0ms (1.4% of total)
ival-div: 32.0ms (1% of total)
ival-cbrt: 23.0ms (0.7% of total)
ival-sub: 22.0ms (0.7% of total)
ival-pi: 4.0ms (0.1% of total)
const: 1.0ms (0% of total)

series25.0ms (0.1%)

Counts
20 → 336
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))>
#<alt (/ (/ 1 F) (/ F (tan (* (PI) l))))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* l (PI))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))>
#<alt (* (/ 1 (* F F)) (* l (PI)))>
#<alt (- (* (PI) l) (/ 1 (/ F (* (/ 1 F) (tan (* (PI) l))))))>
#<alt (/ 1 (/ F (* (/ 1 F) (tan (* (PI) l)))))>
#<alt (/ F (* (/ 1 F) (tan (* (PI) l))))>
#<alt (* (/ 1 F) (tan (* (PI) l)))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))>
#<alt (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))>
#<alt (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) l)>
#<alt (tan (* (PI) l))>
#<alt (/ F (tan (* (PI) l)))>
#<alt (/ 1 (* F F))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
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#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
Calls

84 calls:

TimeVariablePointExpression
2.0ms
l
@-inf
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
2.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
2.0ms
l
@0
(/ F (tan (* (PI) l)))
1.0ms
l
@0
(/ F (* (/ 1 F) (tan (* (PI) l))))
1.0ms
l
@0
(* (/ 1 F) (tan (* (PI) l)))

rewrite377.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
3654×*-lowering-*.f32
3654×*-lowering-*.f64
2164×+-lowering-+.f64
2164×+-lowering-+.f32
2008×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026130
1209118
21577118
08218118
Stop Event
1×iter limit
1×node limit
Counts
20 → 1038
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(* (PI) l)
(PI)
(* l (PI))
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (/ 1 (* F F)) (* l (PI)))
(- (* (PI) l) (/ 1 (/ F (* (/ 1 F) (tan (* (PI) l))))))
(/ 1 (/ F (* (/ 1 F) (tan (* (PI) l)))))
(/ F (* (/ 1 F) (tan (* (PI) l))))
(* (/ 1 F) (tan (* (PI) l)))
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))))
(* (/ 1 (* F F)) (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)))
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(tan (* (PI) l))
(/ F (tan (* (PI) l)))
(/ 1 (* F F))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal 1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1/2 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal -1 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) F)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) F))))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))
(+.f64 (fma.f64 (PI.f64) l (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64))))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal -1 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) F)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) F))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))
(+.f64 (fma.f64 l (PI.f64) (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64))))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal -1 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))))
(+.f64 (fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) F)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) F))))
(+.f64 (fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64))))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))))
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(/.f64 (/.f64 #s(literal 1 binary64) F) F)
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(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))
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(pow.f64 (*.f64 (*.f64 F F) (*.f64 F F)) #s(literal -1/2 binary64))
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(*.f64 (pow.f64 (/.f64 F #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(PI.f64)
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(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
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(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
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(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
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(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
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(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64))))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
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(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
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(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
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(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
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(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
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(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
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(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
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(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
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(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))

simplify338.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
5238×*-lowering-*.f32
5238×*-lowering-*.f64
1426×cancel-sign-sub-inv
1368×+-lowering-+.f64
1368×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02825700
19215430
236365255
082595255
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
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(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
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(/ (* l (PI)) (pow F 2))
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(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) F) #s(literal -1/3 binary64))) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) F) #s(literal -1/3 binary64)))) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (+.f64 (*.f64 (*.f64 l l) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F)))) (+.f64 (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (*.f64 F F)))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))))) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) F) #s(literal -1/3 binary64)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 l (*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (*.f64 F F)) (-.f64 (*.f64 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)))))) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
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(*.f64 l (PI.f64))
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(* l (PI))
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(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
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(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 F (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))))) (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (*.f64 l l) (+.f64 (*.f64 l (*.f64 l (-.f64 (-.f64 (*.f64 F (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (-.f64 (*.f64 F (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64)))) (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))))))))) (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) l)
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

eval384.0ms (2.1%)

Compiler

Compiled 54974 to 4247 computations (92.3% saved)

prune230.0ms (1.2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New2129142143
Fresh8513
Picked415
Done011
Total2141212162
Accuracy
99.6%
Counts
2162 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
34.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))))
▶26.6%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
79.9%
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
▶91.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
68.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64)))))
▶71.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
▶52.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
✓80.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F))))
85.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
70.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
76.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
71.4%
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
51.9%
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
70.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶71.0%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
73.8%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 825 to 450 computations (45.5% saved)

simplify229.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓cost-diff512
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
✓cost-diff512
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
✓cost-diff1536
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
✓cost-diff0
(/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
✓cost-diff0
(/.f64 (PI.f64) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff512
(+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))
✓cost-diff512
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)
✓cost-diff640
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l))
✓cost-diff640
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
Rules
5430×*-lowering-*.f32
5430×*-lowering-*.f64
2746×/-lowering-/.f32
2746×/-lowering-/.f64
1674×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042450
1149431
2627385
34060346
08690346
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l))
(/ 1 F)
1
F
(/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)
(+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI)))
(/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI)))
(* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3))
(* l l)
(* (* F (* (PI) (* (PI) (PI)))) -1/3)
(* F (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
-1/3
(/ F (PI))
(* l (- (PI) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(- (* (PI) l) (/ (* (PI) l) (* F F)))
(* (PI) l)
(PI)
l
(/ (* (PI) l) (* F F))
(* F F)
F
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
(* (PI) l)
(PI)
l
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* 1/3 (* l l))
1/3
(* l l)
(* F F)
F
(- (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))) (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))))
(/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))
(* (PI) (* l (* (PI) l)))
(PI)
(* l (* (PI) l))
l
(* (PI) l)
(* (+ (/ 1 (* F F)) 1) (* (PI) l))
(+ (/ 1 (* F F)) 1)
(/ 1 (* F F))
1
(* F F)
F
(/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))
(/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F)))
(* (* F F) (* F F))
Outputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) F)) (*.f64 l l)) (/.f64 F (PI.f64))))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l))
(/.f64 (/.f64 l F) (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) F)) (*.f64 l l)) (/.f64 F (PI.f64))))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) F)) (*.f64 l l)) (/.f64 F (PI.f64))) l)
(+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) F)) (*.f64 l l)) (/.f64 F (PI.f64)))
(/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) F)) (*.f64 l l))
(* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3))
(*.f64 l (*.f64 l (*.f64 F (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)))))
(* l l)
(*.f64 l l)
(* (* F (* (PI) (* (PI) (PI)))) -1/3)
(*.f64 F (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)))
(* F (* (PI) (* (PI) (PI))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) F)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
-1/3
#s(literal -1/3 binary64)
(/ F (PI))
(/.f64 F (PI.f64))
(* l (- (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
l
(- (PI) (/ (PI) (* F F)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (/ (* (PI) l) (* F F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (* (PI) l) (* F F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64)) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (*.f64 F F))
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
(*.f64 (*.f64 (PI.f64) l) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))
(*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))
(*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* 1/3 (* l l))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
(* F F)
(*.f64 F F)
F
(- (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))) (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))))
(*.f64 (/.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 F (*.f64 F F))))))
(/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))
(/.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal 1 binary64)))
(* (PI) (* l (* (PI) l)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l)))
(PI)
(PI.f64)
(* l (* (PI) l))
(*.f64 (PI.f64) (*.f64 l l))
l
(* (PI) l)
(*.f64 (PI.f64) l)
(* (+ (/ 1 (* F F)) 1) (* (PI) l))
(*.f64 (PI.f64) (+.f64 (/.f64 l (*.f64 F F)) l))
(+ (/ 1 (* F F)) 1)
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal 1 binary64))
(/ 1 (* F F))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal 1 binary64)) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F)))
(/.f64 (*.f64 (PI.f64) (*.f64 l (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))) (*.f64 F F))
(* (* F F) (* F F))
(*.f64 F (*.f64 F (*.f64 F F)))

localize217.0ms (1.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy94.4%
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓accuracy74.8%
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F)))
✓accuracy67.6%
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
✓accuracy56.9%
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
✓accuracy99.7%
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy82.5%
(/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy87.4%
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓accuracy98.9%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy94.2%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy98.7%
(*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy87.8%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)
✓accuracy85.8%
(*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)))
Results
147.0ms256×0valid
Compiler

Compiled 497 to 43 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-div: 33.0ms (39.6% of total)
ival-mult: 28.0ms (33.6% of total)
...c/correct-round.rkt:119:19: 12.0ms (14.4% of total)
ival-sub: 5.0ms (6% of total)
ival-add: 4.0ms (4.8% of total)
ival-pi: 1.0ms (1.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.3%)

Counts
22 → 420
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)))>
#<alt (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l))>
#<alt (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)>
#<alt (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI)))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (PI)>
#<alt (/ (PI) (* F F))>
#<alt (- (* (PI) l) (/ (* (PI) l) (* F F)))>
#<alt (* (PI) l)>
#<alt (/ (* (PI) l) (* F F))>
#<alt (- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))>
#<alt (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))>
#<alt (- (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))) (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))))>
#<alt (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))>
#<alt (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))>
#<alt (* (+ (/ 1 (* F F)) 1) (* (PI) l))>
#<alt (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (* F (* (PI) (* (PI) (PI)))) -1/3)>
#<alt (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))>
#<alt (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F)))>
Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))>
#<alt (* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))>
#<alt (* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
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#<alt (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (* (pow F 4) (+ 1 (/ 1 (pow F 2)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 4))>
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))>
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))>
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))>
#<alt (/ (* l (PI)) (pow F 4))>
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))>
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))>
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))>
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))>
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))>
#<alt (* l (PI))>
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))>
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))>
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (+ 1 (/ 1 (pow F 2)))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* -1/3 (* F (pow (PI) 3)))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* 1/3 (* (pow l 3) (pow (PI) 3)))>
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* 1/3 (* (pow l 3) (pow (PI) 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
#<alt (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))>
Calls

105 calls:

TimeVariablePointExpression
8.0ms
l
@0
(- (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))) (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))))
8.0ms
l
@-inf
(- (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))) (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))))
4.0ms
l
@inf
(/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)
4.0ms
l
@-inf
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)))
3.0ms
l
@0
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)))

rewrite364.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
3626×*-lowering-*.f32
3626×*-lowering-*.f64
2476×/-lowering-/.f32
2476×/-lowering-/.f64
1586×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042279
1348254
24374252
08063252
Stop Event
1×iter limit
1×node limit
Counts
22 → 765
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)))
(/ (/ 1 F) (/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l))
(/ (+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI))) l)
(+ (/ (* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3)) (* (PI) (PI))) (/ F (PI)))
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(- (* (PI) l) (/ (* (PI) l) (* F F)))
(* (PI) l)
(/ (* (PI) l) (* F F))
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))
(- (/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))) (/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l))))
(/ (* (PI) (* l (* (PI) l))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))
(/ (/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F))) (* (+ (/ 1 (* F F)) 1) (* (PI) l)))
(* (+ (/ 1 (* F F)) 1) (* (PI) l))
(* (* l l) (* (* F (* (PI) (* (PI) (PI)))) -1/3))
(* (PI) (* (PI) (PI)))
(* (* F (* (PI) (* (PI) (PI)))) -1/3)
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
(/ (* (PI) (* l (* (PI) l))) (* (* F F) (* F F)))
Outputs
(+.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))))) (/.f64 (*.f64 (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F) (/.f64 (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) F) l))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))) (/.f64 (/.f64 (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) F) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(fma.f64 l (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
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(fma.f64 (PI.f64) l (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))
(fma.f64 l (PI.f64) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (pow.f64 (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (-.f64 (*.f64 (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) (*.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))) (-.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))))
(/.f64 (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (PI.f64)))))
(/.f64 (*.f64 l (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))) (-.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (PI.f64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) l) (-.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)))
(*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l)) l)
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))))
(/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 F (*.f64 F (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))))))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) (*.f64 F F))
(/.f64 (*.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64)) (*.f64 (*.f64 F F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) #s(literal 1 binary64)) (*.f64 F (*.f64 F (*.f64 F F))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 F (*.f64 F F)))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) F)) (*.f64 F (*.f64 F F)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (/.f64 F (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) l) F)) (*.f64 (*.f64 F (/.f64 F (*.f64 (PI.f64) l))) F))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)) (/.f64 (*.f64 (PI.f64) l) F)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) F))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 (PI.f64) l)) (*.f64 F (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) l) F) #s(literal 1 binary64)) (*.f64 F (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (*.f64 F (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 (*.f64 F F) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 F F))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) #s(literal 1 binary64)) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 (PI.f64) l) F)) F)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F F))) (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F F))) F)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) F)
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) F) (*.f64 F (*.f64 F F)))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 F (*.f64 F F))) F)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) F) F)
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) #s(literal 2 binary64))
(pow.f64 (*.f64 F (/.f64 F (*.f64 (PI.f64) l))) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F (*.f64 F (*.f64 F F)))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F F))))
(*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F (*.f64 F F)))))
(*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (*.f64 F F)))))
(*.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 l (*.f64 F F)) (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F F)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))
(*.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (*.f64 F F)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (*.f64 F F))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F (*.f64 F (*.f64 F F))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F (*.f64 F (*.f64 F F))))))
(*.f64 (*.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F (*.f64 F F))))
(*.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 l F) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F F))))
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F (*.f64 F (*.f64 F F)))) (PI.f64))
(*.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 (/.f64 l F) (/.f64 l F)))
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l l)) F) (/.f64 (PI.f64) (*.f64 F (*.f64 F F))))
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 F (*.f64 F F))) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) F))
(*.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F F))) (/.f64 (*.f64 (PI.f64) l) F))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (PI.f64)) (/.f64 l (*.f64 F F)))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (PI.f64) F)) (/.f64 l F))

simplify291.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
5194×*-lowering-*.f32
5194×*-lowering-*.f64
1968×/-lowering-/.f32
1968×/-lowering-/.f64
1552×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03245431
111185316
239445197
085475197
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(* l (PI))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
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(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* -1/3 (* F (pow (PI) 3)))
(* l (PI))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(* 1/3 (* (pow l 3) (pow (PI) 3)))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* 1/3 (* (pow l 3) (pow (PI) 3)))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 l l)) (*.f64 F F)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (/.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64))))) (*.f64 F F)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (*.f64 F F)) (/.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 l l)) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (PI.f64))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(*.f64 l (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (PI.f64))))) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(*.f64 l (+.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (PI.f64)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 l l) (*.f64 l l))) (/.f64 (/.f64 #s(literal 27 binary64) (*.f64 F F)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (pow.f64 l #s(literal 6 binary64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 l l))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (*.f64 l l)) (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 #s(literal 27 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64)))))) (*.f64 (*.f64 l l) (*.f64 l l))))) (-.f64 #s(literal 0 binary64) l))
(* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F)))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F)))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64))))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64)))) #s(literal 1/9 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 F F))))))
(* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 l (*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 l l)) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/9 binary64)) (*.f64 F F)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 F F)))))))
(/ -3 (* (pow F 2) (* l (PI))))
(/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l)
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) l)
(/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 #s(literal 27 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64)))))) (*.f64 l l))) l)
(/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 27 binary64) (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 (*.f64 l l) (*.f64 l l)))) l)
(/ -3 (* (pow F 2) (* l (PI))))
(/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l)
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) l)
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 (*.f64 l l) (*.f64 l l))))))) (-.f64 #s(literal 0 binary64) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 (*.f64 l l) (*.f64 l l))))))) (/.f64 #s(literal 81 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 (*.f64 F F) (pow.f64 l #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) l))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(*.f64 F (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64))) l))
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(*.f64 (*.f64 F (*.f64 l l)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(*.f64 (*.f64 F (*.f64 l l)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(*.f64 (*.f64 F (*.f64 l l)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(*.f64 (*.f64 F (*.f64 l l)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (* (pow l 2) (pow (PI) 3))))
(*.f64 (*.f64 F (*.f64 l l)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* -1/3 (* F (pow (PI) 3)))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))
(* 1/3 (* (pow l 3) (pow (PI) 3)))
(*.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* 1/3 (* (pow l 3) (pow (PI) 3)))
(*.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* (pow l 2) (pow (PI) 2)) (pow F 4))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (*.f64 F F)))

eval311.0ms (1.7%)

Compiler

Compiled 76926 to 5495 computations (92.9% saved)

prune471.0ms (2.5%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1985182003
Fresh9514
Picked325
Done022
Total1997272024
Accuracy
99.6%
Counts
2024 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
18.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)))
37.3%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))
▶55.7%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
▶58.0%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
34.8%
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))))
43.9%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
79.9%
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
26.5%
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
68.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64)))))
54.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
59.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) F))
✓71.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
✓80.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
76.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶80.2%
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
71.4%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
▶70.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓71.0%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
28.0%
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))))))
73.8%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 1431 to 656 computations (54.2% saved)

simplify199.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓cost-diff256
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))))
✓cost-diff256
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l)
✓cost-diff512
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))
✓cost-diff128
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l)
✓cost-diff128
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
✓cost-diff256
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓cost-diff448
(neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))
✓cost-diff576
(*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F))
✓cost-diff3392
(+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F))
✓cost-diff3904
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
Rules
5140×*-lowering-*.f32
5140×*-lowering-*.f64
2198×/-lowering-/.f32
2198×/-lowering-/.f64
1764×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047731
1149709
2518666
32216480
47369480
08233480
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))) (+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)))
(* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))))
l
(- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))
(PI)
(/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))
(/ 1 F)
1
F
(+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))
(/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI)))
(* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l)))
(* F (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* -1/3 (* l l))
-1/3
(* l l)
(/ F (PI))
(+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F))
(* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F))
(neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))
(/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))
(/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(- (* (PI) l) (/ 1 (* F (/ F (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ 1 (* F (/ F (* (PI) l))))
1
(* F (/ F (* (PI) l)))
F
(/ F (* (PI) l))
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)
(- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(* (PI) (PI))
(PI)
(/ (/ (PI) (* F F)) (/ (* F F) (PI)))
(/ (PI) (* F F))
(* F F)
F
(/ (* F F) (PI))
l
(+ (PI) (/ (PI) (* F F)))
(/ (* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
(* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l)
(- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(/ (PI) (* F F))
(* F F)
F
(/ (/ (PI) (* F F)) (/ (* F F) (PI)))
(/ (* F F) (PI))
l
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))
(* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
Outputs
(+ (* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))) (+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)))
(*.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 F (-.f64 (*.f64 (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (/.f64 F (PI.f64)))))))
(* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 F (-.f64 (*.f64 (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (/.f64 F (PI.f64)))))))
l
(- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))
(+.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 F (-.f64 (*.f64 (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (/.f64 F (PI.f64))))))
(PI)
(PI.f64)
(/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64)))))) (/.f64 F (PI.f64))))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64)))))) (/.f64 F (PI.f64)))
(/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI)))
(*.f64 #s(literal 1 binary64) (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64))))))
(* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l)))
(*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(* F (* (PI) (* (PI) (PI))))
(*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* -1/3 (* l l))
(*.f64 l (*.f64 l #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(* l l)
(*.f64 l l)
(/ F (PI))
(/.f64 F (PI.f64))
(+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F))
#s(literal 0 binary64)
(* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F))
(/.f64 l (*.f64 F (-.f64 (*.f64 (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (/.f64 F (PI.f64)))))
(neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))
(/.f64 l (-.f64 (*.f64 (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (/.f64 F (PI.f64))))
(/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))
(/.f64 l (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64)))))) (/.f64 F (PI.f64))))
(/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)
(/.f64 (/.f64 l F) (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64)))))) (/.f64 F (PI.f64))))
(* l (- (PI) (/ (/ (PI) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(- (PI) (/ (/ (PI) F) F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (/ (PI) F) F)
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(- (* (PI) l) (/ 1 (* F (/ F (* (PI) l)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* (PI) l)
(*.f64 l (PI.f64))
(PI)
(PI.f64)
l
(/ 1 (* F (/ F (* (PI) l))))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
1
#s(literal 1 binary64)
(* F (/ F (* (PI) l)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
F
(/ F (* (PI) l))
(/.f64 F (*.f64 l (PI.f64)))
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))
(- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(/ (/ (PI) (* F F)) (/ (* F F) (PI)))
(*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(* F F)
(*.f64 F F)
F
(/ (* F F) (PI))
(/.f64 (*.f64 F F) (PI.f64))
l
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
(*.f64 l (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 F (*.f64 F (*.f64 F F)))))) (+.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F F))))))
(* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l)
(*.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 F (*.f64 F (*.f64 F F)))))))
(- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 F (*.f64 F (*.f64 F F)))))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))))
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(* F F)
(*.f64 F F)
F
(/ (/ (PI) (* F F)) (/ (* F F) (PI)))
(*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* F F) (PI))
(/.f64 (*.f64 F F) (PI.f64))
l
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))
(*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F F))))
(* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))
(/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 F F))
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize525.0ms (2.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.3%
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l)
✓accuracy62.0%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
✓accuracy99.8%
(/.f64 (*.f64 F F) (PI.f64))
✓accuracy98.9%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy96.3%
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l)
✓accuracy72.3%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy99.8%
(*.f64 F (/.f64 F (*.f64 (PI.f64) l)))
✓accuracy99.7%
(/.f64 F (*.f64 (PI.f64) l))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
✓accuracy100.0%
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓accuracy99.8%
(/.f64 (/.f64 (PI.f64) F) F)
✓accuracy99.6%
(/.f64 (PI.f64) F)
✓accuracy94.2%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓accuracy94.1%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
✓accuracy89.2%
(+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F))
✓accuracy87.2%
(/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))
✓accuracy85.7%
(*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)))
Results
146.0ms49×3valid
101.0ms62×2valid
81.0ms39×1valid
80.0ms106×0valid
Compiler

Compiled 749 to 48 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-div: 57.0ms (29.6% of total)
ival-mult: 57.0ms (29.6% of total)
backward-pass: 27.0ms (14% of total)
ival-add: 15.0ms (7.8% of total)
...c/correct-round.rkt:119:19: 13.0ms (6.8% of total)
ival-sub: 13.0ms (6.8% of total)
ival-neg: 7.0ms (3.6% of total)
ival-pi: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)

series42.0ms (0.2%)

Counts
28 → 492
Calls
Call 1
Inputs
#<alt (+ (* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))) (+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)))>
#<alt (+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F))>
#<alt (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F))>
#<alt (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (PI)>
#<alt (/ (/ (PI) F) F)>
#<alt (- (* (PI) l) (/ 1 (* F (/ F (* (PI) l)))))>
#<alt (/ 1 (* F (/ F (* (PI) l))))>
#<alt (* (PI) l)>
#<alt (/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))>
#<alt (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)>
#<alt (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))>
#<alt (* (PI) (PI))>
#<alt (/ (* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))>
#<alt (* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l)>
#<alt (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))))>
#<alt (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))>
#<alt (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l)))>
#<alt (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))>
#<alt (* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))))>
#<alt (/ (PI) F)>
#<alt (/ F (* (PI) l))>
#<alt (* F (/ F (* (PI) l)))>
#<alt (/ (PI) (* F F))>
#<alt (/ (* F F) (PI))>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))))))))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))>
#<alt (* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))>
#<alt (* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (/ (+ (* -2 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -2 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (+ (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (pow F 2))>
#<alt (/ (+ (* -2 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (+ (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (pow F 2))>
#<alt (/ (+ (* -2 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (+ (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -2 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (+ (* l (PI)) (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))))>
#<alt (+ (* -2 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (+ (* l (PI)) (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))))>
#<alt (+ (* -2 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (+ (* l (PI)) (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (+ (* 2 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI))))>
#<alt (+ (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (+ (* 2 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI))))>
#<alt (+ (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (+ (* 2 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))))>
#<alt (/ 3 (* (pow F 2) (* l (PI))))>
#<alt (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l)>
#<alt (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l)>
#<alt (/ 3 (* (pow F 2) (* l (PI))))>
#<alt (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (* -1 (/ (* l (PI)) F))>
#<alt (* l (- (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) F)) (/ (PI) F)))>
#<alt (* l (- (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) F)) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) F)))) (/ (PI) F)))>
#<alt (* l (- (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) F)) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) F)) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) F)))))) (/ (PI) F)))>
#<alt (/ 3 (* F (* l (PI))))>
#<alt (/ (+ (* 3 (/ 1 (* F (PI)))) (* 9 (/ 1 (* F (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (/ (+ (* 3 (/ 1 (* F (PI)))) (+ (/ 9 (* F (* (pow l 2) (pow (PI) 3)))) (/ 27 (* F (* (pow l 4) (pow (PI) 5)))))) l)>
#<alt (/ (+ (* 3 (/ 1 (* F (PI)))) (+ (* 27 (/ 1 (* F (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* F (* (pow l 6) (pow (PI) 7))))) (/ 9 (* F (* (pow l 2) (pow (PI) 3))))))) l)>
#<alt (/ 3 (* F (* l (PI))))>
#<alt (/ (+ (* 3 (/ 1 (* F (PI)))) (* 9 (/ 1 (* F (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 9 (/ 1 (* F (pow (PI) 3)))) (* 27 (/ 1 (* F (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* F (PI))))) l))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 27 (/ 1 (* F (pow (PI) 5)))) (* 81 (/ 1 (* F (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* F (PI)))) (/ 9 (* F (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (pow (PI) 2)) (pow F 4)))>
#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))>
#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))>
#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))>
#<alt (* l (pow (PI) 2))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (* l (pow (PI) 2))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* -1 (/ (pow (PI) 2) (pow F 4)))>
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (pow (PI) 2)>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (pow (PI) 2)>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (- (* -1 (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI))))) (* -1 (* l (PI)))))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (- (* (pow F 2) (- (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))) (+ (* -1 (* l (PI))) (* l (PI))))) (* -1 (* l (PI)))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 6)))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (+ (/ (* l (PI)) (pow F 2)) (/ (* l (PI)) (pow F 4)))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 6)))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (+ (/ (* l (PI)) (pow F 2)) (/ (* l (PI)) (pow F 4)))))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (/ (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6)))) (+ (/ (* (PI) (+ (PI) (/ (PI) (pow F 2)))) (pow F 2)) (pow (PI) 2)))>
#<alt (* -1 (/ (* l (pow (PI) 3)) (pow F 6)))>
#<alt (/ (+ (* -1 (* l (pow (PI) 3))) (* (pow F 6) (* l (pow (PI) 3)))) (pow F 6))>
#<alt (/ (+ (* -1 (* l (pow (PI) 3))) (* (pow F 6) (* l (pow (PI) 3)))) (pow F 6))>
#<alt (/ (+ (* -1 (* l (pow (PI) 3))) (* (pow F 6) (* l (pow (PI) 3)))) (pow F 6))>
#<alt (* l (pow (PI) 3))>
#<alt (+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))>
#<alt (* l (pow (PI) 3))>
#<alt (+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 3)) (pow F 6))) (* l (pow (PI) 3)))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* l (- (pow (PI) 3) (/ (pow (PI) 3) (pow F 6))))>
#<alt (* -1 (/ (pow (PI) 3) (pow F 6)))>
#<alt (/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))>
#<alt (/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))>
#<alt (/ (- (* (pow F 6) (pow (PI) 3)) (pow (PI) 3)) (pow F 6))>
#<alt (pow (PI) 3)>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (pow (PI) 3)>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (+ (* -1 (/ (pow (PI) 3) (pow F 6))) (pow (PI) 3))>
#<alt (/ (pow (PI) 2) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))>
#<alt (/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))>
#<alt (pow (PI) 2)>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (pow (PI) 2))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (pow (PI) 2)>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (pow (PI) 2))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (+ (/ (pow (PI) 2) (pow F 2)) (+ (/ (pow (PI) 2) (pow F 4)) (pow (PI) 2)))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (* -1/3 (* F (* (pow l 2) (pow (PI) 3))))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) F)) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) F)) (* -1/3 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) F)) (* -1/9 (/ (pow (PI) 5) F)))) (* -1/3 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ -3 (* F (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* F (PI)))) (* 9 (/ 1 (* F (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (/ (- (* -1 (/ (+ (* 9 (/ 1 (* F (pow (PI) 3)))) (* 27 (/ 1 (* F (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* F (PI))))) l)>
#<alt (/ (- (* -1 (/ (+ (* 27 (/ 1 (* F (pow (PI) 5)))) (* 81 (/ 1 (* F (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* F (PI)))) (/ 9 (* F (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (/ -3 (* F (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* F (PI)))) (* 9 (/ 1 (* F (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* F (PI)))) (+ (/ 9 (* F (* (pow l 2) (pow (PI) 3)))) (/ 27 (* F (* (pow l 4) (pow (PI) 5)))))) l))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* F (PI)))) (+ (* 27 (/ 1 (* F (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* F (* (pow l 6) (pow (PI) 7))))) (/ 9 (* F (* (pow l 2) (pow (PI) 3))))))) l))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (* -1 (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))>
#<alt (* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))>
#<alt (* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
#<alt (/ (pow F 2) (PI))>
Calls

123 calls:

TimeVariablePointExpression
5.0ms
l
@-inf
(neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))
3.0ms
l
@0
(/ (* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
2.0ms
l
@0
(+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F))
1.0ms
l
@0
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
1.0ms
F
@0
(+ (* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))) (+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)))

rewrite367.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2908×*-lowering-*.f32
2908×*-lowering-*.f64
2526×/-lowering-/.f32
2526×/-lowering-/.f64
1672×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047409
1377367
24642361
08031361
Stop Event
1×iter limit
1×node limit
Counts
28 → 679
Calls
Call 1
Inputs
(+ (* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))) (+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F)))
(+ (* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F)) (/ (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))) F))
(* (neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))) (/ 1 F))
(neg (/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI)))))
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(- (* (PI) l) (/ 1 (* F (/ F (* (PI) l)))))
(/ 1 (* F (/ F (* (PI) l))))
(* (PI) l)
(/ (* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l) (+ (PI) (/ (PI) (* F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))) l)
(- (* (PI) (PI)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))
(* (PI) (PI))
(/ (* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F))))))
(* (- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI))))) l)
(- (* (PI) (* (PI) (PI))) (* (/ (PI) (* F F)) (/ (/ (PI) (* F F)) (/ (* F F) (PI)))))
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (+ (PI) (/ (PI) (* F F)))))
(* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l)))
(/ l (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))
(* l (- (PI) (/ (/ 1 F) (+ (/ (* (* F (* (PI) (* (PI) (PI)))) (* -1/3 (* l l))) (* (PI) (PI))) (/ F (PI))))))
(/ (PI) F)
(/ F (* (PI) l))
(* F (/ F (* (PI) l)))
(/ (PI) (* F F))
(/ (* F F) (PI))
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (+.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))))
(+.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (-.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(+.f64 (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))
(+.f64 (-.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))
(+.f64 (+.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))) (-.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (-.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))))
(fma.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(fma.f64 (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) l (-.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 l F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
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(/.f64 (*.f64 l (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 F (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 F (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 F (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) l) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))
(*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) l)
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)))
(/.f64 (PI.f64) F)
(/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (PI.f64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(pow.f64 (/.f64 F (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) F)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) F)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (PI.f64)))
(neg.f64 (/.f64 F (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) F) (*.f64 l (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (PI.f64)) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))
(/.f64 F (*.f64 l (PI.f64)))
(/.f64 (/.f64 F (PI.f64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l (PI.f64)) F)))
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))))
(/.f64 (neg.f64 (/.f64 F (PI.f64))) (-.f64 #s(literal 0 binary64) l))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64)))))
(/.f64 (/.f64 F l) (PI.f64))
(pow.f64 (/.f64 (*.f64 l (PI.f64)) F) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (PI.f64)) l))
(*.f64 F (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (/.f64 F (PI.f64)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 F (/.f64 (*.f64 l (PI.f64)) F))
(/.f64 (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l) #s(literal 1 binary64))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(/.f64 (/.f64 F (/.f64 (PI.f64) F)) l)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 l (PI.f64)) F))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(*.f64 F (/.f64 (/.f64 F (PI.f64)) l))
(*.f64 F (/.f64 (/.f64 (/.f64 F (PI.f64)) l) #s(literal 1 binary64)))
(*.f64 (/.f64 F (PI.f64)) (/.f64 F l))
(*.f64 (/.f64 (/.f64 F (PI.f64)) l) F)
(*.f64 (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l) #s(literal 1 binary64))
(*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (PI.f64)))
(/.f64 (/.f64 (PI.f64) F) F)
(/.f64 (/.f64 (PI.f64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (PI.f64)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) F)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(pow.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))
(*.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) F) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) F) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) #s(literal 1 binary64)))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (/.f64 F (PI.f64)) (/.f64 #s(literal 1 binary64) F))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (/.f64 (*.f64 F F) #s(literal 1 binary64)) (PI.f64))
(/.f64 (*.f64 (*.f64 F F) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (*.f64 F F) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (/.f64 (PI.f64) F) F) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (PI.f64) F)))
(*.f64 F (/.f64 F (PI.f64)))
(*.f64 (/.f64 F (PI.f64)) F)
(*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 F (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 F (sqrt.f64 (PI.f64))) (/.f64 F (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 F (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F))) (-.f64 #s(literal 0 binary64) F))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify354.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3974×*-lowering-*.f32
3974×*-lowering-*.f64
1948×/-lowering-/.f32
1948×/-lowering-/.f64
1836×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03986434
113095858
242945686
082595686
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))))))))))
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(/ (+ (* -2 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
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(/ (+ (* (pow F 2) (+ (* (pow F 2) (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 2)) (pow F 4))
(pow (PI) 2)
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(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
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Outputs
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(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (*.f64 l l))))
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(*.f64 l (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 l (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (PI.f64))))))) (*.f64 l l))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) (*.f64 l l)) (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 #s(literal 27 binary64) (*.f64 F F)) (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64)))))) (*.f64 (*.f64 l l) (*.f64 l l))))) (-.f64 #s(literal 0 binary64) l))
(* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ (+ (* -1 (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l (*.f64 F F)) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))
(/ (pow F 2) (PI))
(/.f64 (*.f64 F F) (PI.f64))

eval878.0ms (4.7%)

Compiler

Compiled 143081 to 7620 computations (94.7% saved)

prune398.0ms (2.1%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New2577132590
Fresh61218
Picked325
Done044
Total2586312617
Accuracy
99.6%
Counts
2617 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.2%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
37.3%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))
54.7%
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))) l) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
34.8%
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
53.0%
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
52.7%
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
43.9%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
26.5%
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
68.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64)))))
54.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
59.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) F))
✓71.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
✓80.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 F (PI.f64)) l) F)))
✓76.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
76.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
70.8%
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 F (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
73.1%
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 F (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) l) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
65.6%
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))
55.0%
(*.f64 (/.f64 l (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F)) (/.f64 F (/.f64 (PI.f64) F)))))
56.3%
(*.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))))
58.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))))
34.1%
(*.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l))))
71.4%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
✓70.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓71.0%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
70.9%
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)))))
73.8%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓74.2%
(*.f64 l (PI.f64))
Compiler

Compiled 2935 to 736 computations (74.9% saved)

regimes123.0ms (0.7%)

Counts
65 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 F (PI.f64)) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(*.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) F))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))))
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
(*.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 l (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F)) (/.f64 F (/.f64 (PI.f64) F)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))) l) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) (*.f64 F (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) l) (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 l (*.f64 l #s(literal -1/3 binary64))))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
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(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(*.f64 l (PI.f64))
Calls

6 calls:

20.0ms
(*.f64 (PI.f64) l)
18.0ms
F
17.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
17.0ms
l
17.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
91.7%1F
99.2%2l
95.8%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.2%2(*.f64 (PI.f64) l)
91.7%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
91.7%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes40.0ms (0.2%)

Counts
50 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 F (PI.f64)) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(*.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) F))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))))
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
(*.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 l (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F)) (/.f64 F (/.f64 (PI.f64) F)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))) l) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))
Calls

2 calls:

18.0ms
l
14.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.1%2l
99.1%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes54.0ms (0.3%)

Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 F (PI.f64)) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 F F))) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (/.f64 l (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 F F))
(*.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) l) l))) F))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))))
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))))
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))
(*.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) l))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 l (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (/.f64 F (/.f64 (PI.f64) F))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F)) (/.f64 F (/.f64 (PI.f64) F)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F F) (PI.f64))))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F))))) l) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 F F) F)))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 F (/.f64 F (*.f64 (PI.f64) l)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))))) (*.f64 (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))) F)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64))) l)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 (*.f64 (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 (PI.f64) (PI.f64))) (/.f64 F (PI.f64)))))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

2 calls:

38.0ms
(*.f64 (PI.f64) l)
13.0ms
l
Results
AccuracySegmentsBranch
98.8%2l
98.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
Outputs
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

1 calls:

2.0ms
l
Results
AccuracySegmentsBranch
93.7%2l
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

3 calls:

6.0ms
l
2.0ms
F
2.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
76.2%2F
74.2%1(*.f64 F F)
93.3%2l
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
Calls

2 calls:

1.0ms
F
1.0ms
l
Results
AccuracySegmentsBranch
74.2%1F
74.2%1l
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
599173625067.3075
8.58403360091903e+29
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
599173625067.3075
8.58403360091903e+29
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
19544948.131674018
67202374579.856705
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch22.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
6221350.215261249
21391180203.794655
Results
12.0ms110×0valid
4.0ms18×1valid
Compiler

Compiled 165 to 118 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-tan: 5.0ms (46.6% of total)
ival-mult: 3.0ms (28% of total)
ival-pi: 1.0ms (9.3% of total)
ival-div: 1.0ms (9.3% of total)
ival-sub: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
6221350.215261249
21391180203.794655
Results
14.0ms115×0valid
3.0ms13×1valid
Compiler

Compiled 165 to 118 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-tan: 4.0ms (31.6% of total)
ival-mult: 3.0ms (23.7% of total)
ival-sub: 3.0ms (23.7% of total)
ival-pi: 1.0ms (7.9% of total)
ival-div: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
90×neg-mul-1_binary64
78×unsub-neg_binary64
46×*-commutative_binary64
42×+-commutative_binary64
42×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03699
16199
210199
314199
417199
524199
634399
734799
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 480000000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 480000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 480000000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 480000000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 480000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 480000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness2.0s (10.7%)

Rules
5744×*-lowering-*.f32
5744×*-lowering-*.f64
5238×*-lowering-*.f32
5238×*-lowering-*.f64
5116×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01492431
14702287
217552051
081352051
01250
110049
266449
0848449
026130
1209118
21577118
08218118
042279
1348254
24374252
08063252
02825700
19215430
236365255
082595255
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 286 to 154 computations (46.2% saved)

preprocess104.0ms (0.6%)

Remove

(abs F)

Compiler

Compiled 534 to 246 computations (53.9% saved)

end0.0ms (0%)

Profiling

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