Trigonometry A

Time bar (total: 8.0s)

analyze7.0ms (0.1%)

Memory
9.9MiB live, 10.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.4s (17.8%)

Memory
38.5MiB live, 1 687.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 884.0ms
ival-sin: 356.0ms (40.3% of total)
ival-cos: 162.0ms (18.3% of total)
ival-<=: 129.0ms (14.6% of total)
ival-mult: 119.0ms (13.5% of total)
ival-div: 53.0ms (6% of total)
ival-add: 40.0ms (4.5% of total)
exact: 11.0ms (1.2% of total)
ival-and: 10.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess73.0ms (0.9%)

Memory
9.1MiB live, 47.8MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563
16457
215255
340255
4100055
5154855
6172355
7187455
8203055
9244555
10254055
11260155
12265355
13265855
0911
01511
12211
22511
32611
02610
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Symmetry

(negabs v)

explain128.0ms (1.6%)

Memory
-19.8MiB live, 232.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
60.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 17.0ms (38.1% of total)
ival-cos: 15.0ms (33.6% of total)
ival-mult: 6.0ms (13.5% of total)
ival-div: 3.0ms (6.7% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Rules
16×lower-*.f32
12×lower-*.f64
8×*-commutative
6×lower-/.f32
4×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
12232
22532
32632
02630
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)

localize47.0ms (0.6%)

Memory
9.4MiB live, 47.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Samples
37.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 19.0ms (63.8% of total)
ival-cos: 5.0ms (16.8% of total)
ival-mult: 3.0ms (10.1% of total)
ival-div: 2.0ms (6.7% of total)
ival-add: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-19.0MiB live, 19.0MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (*.f64 e (cos.f64 v))>
#<alt (cos.f64 v)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

TimeVariablePointExpression
8.0ms
v
@-inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
2.0ms
v
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(* e (sin v))
1.0ms
e
@0
(+ 1 (* e (cos v)))

simplify410.0ms (5.1%)

Memory
-13.8MiB live, 707.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×lower-fma.f64
14 120×lower-fma.f32
5 646×lower-*.f64
5 646×lower-*.f32
3 948×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
Stop Event
1×iter limit
1×node limit
Counts
120 → 118
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e (neg.f64 e)) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

rewrite325.0ms (4.1%)

Memory
1.2MiB live, 561.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
14229
224129
3209729
0837027
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 347
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
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(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v)))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

eval56.0ms (0.7%)

Memory
4.9MiB live, 121.2MiB allocated
Compiler

Compiled 13 512 to 1 267 computations (90.6% saved)

prune125.0ms (1.6%)

Memory
-0.3MiB live, 121.2MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New45312465
Fresh000
Picked101
Done000
Total45412466
Accuracy
99.9%
Counts
466 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.5%
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
19.7%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
99.7%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶49.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
49.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Compiler

Compiled 382 to 224 computations (41.4% saved)

simplify156.0ms (2%)

Memory
-24.6MiB live, 138.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff13376
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓cost-diff12992
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Rules
1 544×lower-fma.f32
1 540×lower-fma.f64
1 112×lower-*.f32
1 102×lower-*.f64
756×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027148
044145
175145
2112145
3230145
4434145
5506145
6691145
71021145
81368145
91816145
102507145
113052145
123115145
133127145
143131145
153131145
163223145
173241145
183241145
03241145
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e v)
(*.f64 v e)
e
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)

localize84.0ms (1%)

Memory
13.7MiB live, 174.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy99.9%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Samples
51.0ms256×0valid
Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 10.0ms (29.2% of total)
ival-div: 7.0ms (20.5% of total)
ival-sin: 6.0ms (17.5% of total)
ival-cos: 5.0ms (14.6% of total)
ival-add: 4.0ms (11.7% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
3.5MiB live, 41.5MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)>
#<alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (sin.f64 v)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))>
#<alt (*.f64 e v)>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt (*.f64 e (sin.f64 v))>
#<alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))>
#<alt (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)>
#<alt (cos.f64 v)>
#<alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (neg.f64 e)>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* v (+ e (* -1 (pow e 2))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (+ e (* -1 (pow e 2)))>
#<alt (+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms
v
@0
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
1.0ms
v
@0
(/ (sin v) (+ (* e (cos v)) 1))
1.0ms
v
@inf
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms
v
@0
(* (sin v) (+ (* (cos v) (* e (neg e))) e))

simplify416.0ms (5.2%)

Memory
7.7MiB live, 800.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 842×lower-fma.f64
12 842×lower-fma.f32
6 372×lower-*.f64
6 372×lower-*.f32
4 308×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183678
113303532
240653418
084683218
Stop Event
1×iter limit
1×node limit
Counts
288 → 282
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
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Outputs
(/ (* e v) (+ 1 e))
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(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)

rewrite354.0ms (4.4%)

Memory
4.4MiB live, 961.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 486×lower-fma.f32
6 482×lower-fma.f64
4 994×lower-*.f32
4 984×lower-*.f64
3 606×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
03583
111783
272883
3724183
0862583
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 927
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(neg.f64 e)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))
(neg.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) e))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 e e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
(/.f64 (neg.f64 (*.f64 e e)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (*.f64 e e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) (*.f64 e e)))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))))
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(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(+.f64 (neg.f64 e) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 e))
(-.f64 #s(literal 0 binary64) e)
(-.f64 (/.f64 #s(literal 0 binary64) e) e)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (*.f64 e (*.f64 e e)) (*.f64 e e)))
(fma.f64 e #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 e (/.f64 (neg.f64 e) e) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) (/.f64 e e) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) e #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 0 binary64))
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 e (neg.f64 (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (neg.f64 (*.f64 e (*.f64 e e)))))
(/.f64 (neg.f64 (*.f64 e e)) e)
(/.f64 (*.f64 e e) (neg.f64 e))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e e))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e e)))
(*.f64 e #s(literal -1 binary64))
(*.f64 e (/.f64 (neg.f64 e) e))
(*.f64 #s(literal 1 binary64) (neg.f64 e))
(*.f64 (neg.f64 e) #s(literal 1 binary64))
(*.f64 (neg.f64 e) (/.f64 e e))
(*.f64 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))

eval102.0ms (1.3%)

Memory
11.5MiB live, 321.9MiB allocated
Compiler

Compiled 19 729 to 1 695 computations (91.4% saved)

prune102.0ms (1.3%)

Memory
-10.2MiB live, 350.2MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New85012862
Fresh527
Picked325
Done000
Total85816874
Accuracy
100.0%
Counts
874 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
65.3%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
97.7%
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
▶50.7%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
▶50.8%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
49.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
49.1%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
49.7%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
▶99.3%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
49.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
✓97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
▶49.7%
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
Compiler

Compiled 484 to 282 computations (41.7% saved)

simplify368.0ms (4.6%)

Memory
13.7MiB live, 874.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 e (cos.f64 v))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓cost-diff12736
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
✓cost-diff384
(fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
✓cost-diff448
(-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))
✓cost-diff1472
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
✓cost-diff0
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
✓cost-diff1472
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff12992
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Rules
13 484×lower-fma.f32
13 468×lower-fma.f64
4 078×lower-+.f32
4 076×lower-+.f64
3 288×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045358
081358
1155330
2405302
31543299
44110299
55576283
67970283
08017273
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
v
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
e
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
v
(*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
e
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))
(fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
#s(literal 1/6 binary64)
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
e
(cos.f64 v)
v
(sin.f64 v)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
v
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
e
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
v
(*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
e
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 e #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (*.f64 v v))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 e #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (*.f64 v v))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(-.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 e #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (*.f64 v v)))
(-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))
(+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/45 binary64)))
(fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(fma.f64 e #s(literal -1/72 binary64) #s(literal 1/36 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(fma.f64 e #s(literal -1/18 binary64) #s(literal 1/36 binary64))
#s(literal 1/6 binary64)
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
e
(cos.f64 v)
v
(sin.f64 v)

localize212.0ms (2.7%)

Memory
-5.5MiB live, 613.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
✓accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
✓accuracy99.6%
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
✓accuracy96.7%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
✓accuracy99.9%
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
✓accuracy99.5%
(*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
✓accuracy74.1%
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
Samples
124.0ms256×0valid
Compiler

Compiled 416 to 44 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 28.0ms (27.6% of total)
ival-mult: 22.0ms (21.7% of total)
ival-sin: 22.0ms (21.7% of total)
ival-add: 10.0ms (9.9% of total)
const: 9.0ms (8.9% of total)
ival-cos: 6.0ms (5.9% of total)
ival-sub: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
-7.1MiB live, 112.8MiB allocated
Counts
23 → 468
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 v) e)>
#<alt (sin.f64 v)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))>
#<alt (/.f64 e (+.f64 e #s(literal 1 binary64)))>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))>
#<alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))>
#<alt (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)>
#<alt (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))>
#<alt (/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))>
#<alt (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))>
#<alt (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (*.f64 e (cos.f64 v))>
#<alt (cos.f64 v)>
#<alt (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))>
#<alt (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)>
#<alt (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))>
#<alt (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
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#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (* -1 (* e (* (cos v) (sin v))))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* e (* (cos v) (sin v))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* v (- 1 e))>
#<alt (* v (- (+ 1 (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) e))>
#<alt (* v (- (+ 1 (* (pow v 2) (+ (* -1/6 (- 1 e)) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))))))) e))>
#<alt (* v (- (+ 1 (* (pow v 2) (+ (* -1/6 (- 1 e)) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (- 1 e)) (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))) e))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt (* (sin v) (- 1 (* e (cos v))))>
#<alt 1>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (* -1 (* e (cos v)))>
#<alt (* e (- (/ 1 e) (cos v)))>
#<alt (* e (- (/ 1 e) (cos v)))>
#<alt (* e (- (/ 1 e) (cos v)))>
#<alt (* -1 (* e (cos v)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (- 1 e)>
#<alt (- (+ 1 (* 1/2 (* e (pow v 2)))) e)>
#<alt (- (+ 1 (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e)))) e)>
#<alt (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e)))) e)>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (- 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* 1/6 v)>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (* -1/3 (* e v))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* -1/3 (* e v))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))))))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))))))))) v)>
#<alt (* (pow v 3) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 3) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4)))))))>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v)>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))>
#<alt (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))))))>
#<alt (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))))))>
#<alt (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e)))))))>
#<alt (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (+ 1/6 (* 7/360 (pow v 2)))>
#<alt (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (* e (- (* -1/45 (pow v 2)) 1/3))>
#<alt (* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))>
#<alt (* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))>
#<alt (* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))>
#<alt (* -1 (* e (+ 1/3 (* 1/45 (pow v 2)))))>
#<alt (* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))))))))>
#<alt (* (pow v 4) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))>
#<alt (* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))>
#<alt (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))>
Calls

117 calls:

TimeVariablePointExpression
6.0ms
e
@-inf
(/ (+ (* (* v v) (+ (* (* v v) (- (+ (* e 1/24) (* 1/6 (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ (* e 1/120) 1/120))) (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v)
2.0ms
e
@-inf
(/ e (+ e 1))
2.0ms
v
@0
(* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))
1.0ms
v
@0
(* (- 1 (* e (cos v))) (sin v))
1.0ms
v
@inf
(/ (+ (* (* v v) (+ (* (* v v) (- (+ (* e 1/24) (* 1/6 (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ (* e 1/120) 1/120))) (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v)

simplify396.0ms (5%)

Memory
-7.5MiB live, 912.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 476×lower-fma.f64
9 476×lower-fma.f32
6 744×lower-*.f64
6 744×lower-*.f32
3 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05557218
117216996
253486974
083226412
Stop Event
1×iter limit
1×node limit
Counts
468 → 461
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
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(* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))
(* (pow v 4) (- (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ 1/120 (* 1/120 e))))
(* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2))))))) (+ 1/120 (* 1/120 e))))
(* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))
(* (pow v 4) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))))) (+ 1/120 (* 1/120 e))))
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(+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))
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(* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))
(* -1 (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
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(* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))
Outputs
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(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 v (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) e) (/.f64 #s(literal 1 binary64) e))) e)
(* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 v (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) e) (/.f64 #s(literal 1 binary64) e))) e)
(* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 v (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) e) (/.f64 #s(literal 1 binary64) e))) e)
(* -1 (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 e))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) e)) (neg.f64 e))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) e)) (neg.f64 e))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))
(*.f64 (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) e)) (neg.f64 e))

rewrite326.0ms (4.1%)

Memory
12.3MiB live, 799.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 030×lower-*.f32
6 014×lower-*.f64
3 212×lower-/.f32
3 202×lower-/.f64
2 828×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043262
080262
1322238
22820238
08203226
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 625
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))
(fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(cos.f64 v)
(*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)) #s(literal -1 binary64)))
(neg.f64 (/.f64 e (neg.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 e) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e) #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (neg.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)))
(/.f64 (neg.f64 (neg.f64 e)) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e))
(*.f64 e (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))))
(*.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(fma.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(fma.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (cos.f64 v)))))
(/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 v e)) (+.f64 (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
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(pow.f64 (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 (neg.f64 e) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 (neg.f64 e) #s(literal -1 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 (neg.f64 e) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 (neg.f64 e) #s(literal -1 binary64)))))

eval62.0ms (0.8%)

Memory
6.2MiB live, 124.8MiB allocated
Compiler

Compiled 6 112 to 320 computations (94.8% saved)

prune96.0ms (1.2%)

Memory
18.4MiB live, 94.1MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New3294333
Fresh189
Picked145
Done022
Total33118349
Accuracy
100.0%
Counts
349 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
65.3%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
97.7%
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
✓50.7%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
49.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
▶50.8%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
▶50.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
50.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
▶49.1%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
▶49.7%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
✓99.3%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
49.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
✓97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
✓49.7%
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
Compiler

Compiled 479 to 286 computations (40.3% saved)

simplify324.0ms (4.1%)

Memory
-6.4MiB live, 361.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
✓cost-diff128
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
✓cost-diff384
(*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
✓cost-diff896
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
✓cost-diff0
(/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)
✓cost-diff320
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
✓cost-diff1856
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
✓cost-diff0
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
✓cost-diff320
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
✓cost-diff1152
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 v (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff192
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff13184
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
5 516×lower-fma.f32
5 506×lower-fma.f64
4 378×lower-*.f32
4 368×lower-*.f64
3 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040320
072318
1126317
2265317
3646312
41324311
51795311
61972309
72100307
82276307
92430307
102689307
112735307
122884306
133091299
143519299
153703297
164078297
175409297
185480297
195508297
207564297
217965297
08006290
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
v
(+.f64 e #s(literal 1 binary64))
e
#s(literal 1 binary64)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
e
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
#s(literal 1 binary64)
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
v
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/3 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
#s(literal 1 binary64)
(/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
v
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
e
#s(literal -1/3 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
v
(*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
(*.f64 v v)
(fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
e
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(/.f64 v (+.f64 e #s(literal 1 binary64)))
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
v
(+.f64 e #s(literal 1 binary64))
e
#s(literal 1 binary64)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
e
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
(fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(+.f64 e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
v
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/3 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)
(/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
(fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(+.f64 e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
v
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
e
#s(literal -1/3 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) v) (+.f64 e #s(literal 1 binary64)))
v
(*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
(*.f64 (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))) (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))
(*.f64 v v)
(fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))
(fma.f64 e (/.f64 #s(literal 1/2 binary64) (fma.f64 e (+.f64 e #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (fma.f64 e (+.f64 e #s(literal 2 binary64)) #s(literal 1 binary64)))
e
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(fma.f64 e (+.f64 e #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(/.f64 v (+.f64 e #s(literal 1 binary64)))

localize175.0ms (2.2%)

Memory
1.1MiB live, 276.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
✓accuracy99.8%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
✓accuracy99.7%
(*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
✓accuracy99.7%
(/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)
✓accuracy99.5%
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
✓accuracy74.1%
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
✓accuracy99.9%
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
✓accuracy99.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
✓accuracy99.5%
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
✓accuracy74.1%
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 v (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
90.0ms256×0valid
Compiler

Compiled 354 to 39 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 19.0ms (27.8% of total)
ival-mult: 14.0ms (20.5% of total)
ival-sin: 10.0ms (14.6% of total)
const: 9.0ms (13.2% of total)
ival-cos: 8.0ms (11.7% of total)
ival-add: 7.0ms (10.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
2.4MiB live, 38.7MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)>
#<alt (sin.f64 v)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)>
#<alt (/.f64 v (+.f64 e #s(literal 1 binary64)))>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))>
#<alt (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))>
#<alt (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)>
#<alt (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))>
#<alt (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))>
#<alt (*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)>
#<alt (cos.f64 v)>
#<alt (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
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#<alt (* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (* (pow v 2) (+ 1 e))))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (* (pow v 2) (+ 1 e))))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (* (pow v 2) (+ 1 e))))))>
#<alt (+ v (* -1/6 (pow v 3)))>
#<alt (+ v (+ (* -1/6 (pow v 3)) (* e (- (* 2/3 (pow v 3)) v))))>
#<alt (+ v (+ (* -1/6 (pow v 3)) (* e (- (+ (* 2/3 (pow v 3)) (* e (- (* -7/6 (pow v 3)) (* -1 v)))) v))))>
#<alt (+ v (+ (* -1/6 (pow v 3)) (* e (- (+ (* 2/3 (pow v 3)) (* e (- (+ (* -7/6 (pow v 3)) (* e (- (* 5/3 (pow v 3)) v))) (* -1 v)))) v))))>
#<alt (/ (+ v (* 1/3 (pow v 3))) e)>
#<alt (/ (- (+ v (+ (* -5/6 (/ (pow v 3) e)) (* 1/3 (pow v 3)))) (/ v e)) e)>
#<alt (/ (- (+ v (+ (* -5/6 (/ (pow v 3) e)) (+ (* 1/3 (pow v 3)) (* 4/3 (/ (pow v 3) (pow e 2)))))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)>
#<alt (/ (- (+ v (+ (* -11/6 (/ (pow v 3) (pow e 3))) (+ (* -5/6 (/ (pow v 3) e)) (+ (* 1/3 (pow v 3)) (* 4/3 (/ (pow v 3) (pow e 2))))))) (+ (* -1 (/ v (pow e 2))) (+ (/ v e) (/ v (pow e 3))))) e)>
#<alt (* -1 (/ (+ (* -1 v) (* -1/3 (pow v 3))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ (- (* -5/6 (pow v 3)) v) e)) (* -1/3 (pow v 3)))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow v 3)) v) e)) (* -5/6 (pow v 3))) v) e)) (* -1/3 (pow v 3)))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow v 3)) (* -1 (/ (- (* -11/6 (pow v 3)) v) e))) v) e)) (* -5/6 (pow v 3))) v) e)) (* -1/3 (pow v 3)))) e))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* (pow v 2) (- (* 1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))>
#<alt (* -1/6 (pow v 2))>
#<alt (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2))))>
#<alt (+ (* -1/6 (pow v 2)) (* e (+ (* -7/6 (* e (pow v 2))) (* 2/3 (pow v 2)))))>
#<alt (+ (* -1/6 (pow v 2)) (* e (+ (* 2/3 (pow v 2)) (* e (+ (* -7/6 (pow v 2)) (* 5/3 (* e (pow v 2))))))))>
#<alt (* 1/3 (/ (pow v 2) e))>
#<alt (/ (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) e)>
#<alt (/ (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2))))) e)>
#<alt (/ (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2)))))) e)>
#<alt (* 1/3 (/ (pow v 2) e))>
#<alt (* -1 (/ (+ (* -1/3 (pow v 2)) (* 5/6 (/ (pow v 2) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -5/6 (pow v 2)) (* 4/3 (/ (pow v 2) e))) e)) (* -1/3 (pow v 2))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (pow v 2)) (* 11/6 (/ (pow v 2) e))) e)) (* -5/6 (pow v 2))) e)) (* -1/3 (pow v 2))) e))>
#<alt 1>
#<alt (+ 1 (* 2 e))>
#<alt (+ 1 (* e (+ 2 e)))>
#<alt (+ 1 (* e (+ 2 e)))>
#<alt (pow e 2)>
#<alt (* (pow e 2) (+ 1 (* 2 (/ 1 e))))>
#<alt (* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))>
#<alt (* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))>
#<alt (pow e 2)>
#<alt (* (pow e 2) (+ 1 (* 2 (/ 1 e))))>
#<alt (* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))>
#<alt (* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* 1/6 v)>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (* -1/3 (* e v))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* -1/3 (* e v))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
Calls

102 calls:

TimeVariablePointExpression
15.0ms
v
@0
(+ (* v (* v (+ (* e -1/3) 1/6))) e)
1.0ms
v
@0
(+ (* v (* (* v v) (+ (* (/ e (* (+ e 1) (+ e 1))) 1/2) (/ -1/6 (+ e 1))))) (/ v (+ e 1)))
1.0ms
v
@inf
(+ (* v (* (* v v) (+ (* (/ e (* (+ e 1) (+ e 1))) 1/2) (/ -1/6 (+ e 1))))) (/ v (+ e 1)))
1.0ms
v
@0
(* (* v v) (+ (* (/ e (* (+ e 1) (+ e 1))) 1/2) (/ -1/6 (+ e 1))))
1.0ms
v
@-inf
(+ (* v (* (* v v) (+ (* (/ e (* (+ e 1) (+ e 1))) 1/2) (/ -1/6 (+ e 1))))) (/ v (+ e 1)))

simplify423.0ms (5.3%)

Memory
7.2MiB live, 788.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 760×lower-fma.f64
11 760×lower-fma.f32
6 910×lower-*.f64
6 910×lower-*.f32
4 372×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05446758
116096576
246116544
090186100
Stop Event
1×iter limit
1×node limit
Counts
408 → 403
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
v
(+ v (* -1 (* e v)))
(+ v (* e (- (* e v) v)))
(+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))
(/ v e)
(/ (+ v (* -1 (/ v e))) e)
(/ (- (+ v (/ v (pow e 2))) (/ v e)) e)
(/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)
(/ v e)
(* -1 (/ (+ (* -1 v) (/ v e)) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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(/ (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) e)
(/.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) e)) e)
(/ (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2))))) e)
(/.f64 (fma.f64 (*.f64 v v) (/.f64 #s(literal -5/6 binary64) e) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (*.f64 e e)))) e)
(/ (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2)))))) e)
(/.f64 (fma.f64 #s(literal -11/6 binary64) (/.f64 (*.f64 v v) (*.f64 e (*.f64 e e))) (fma.f64 (*.f64 v v) (/.f64 #s(literal -5/6 binary64) e) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (*.f64 e e))))) e)
(* 1/3 (/ (pow v 2) e))
(/.f64 (*.f64 v (*.f64 v #s(literal 1/3 binary64))) e)
(* -1 (/ (+ (* -1/3 (pow v 2)) (* 5/6 (/ (pow v 2) e))) e))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) e) #s(literal 5/6 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (+ (* -5/6 (pow v 2)) (* 4/3 (/ (pow v 2) e))) e)) (* -1/3 (pow v 2))) e))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) #s(literal 4/3 binary64) (*.f64 (*.f64 v v) #s(literal -5/6 binary64))) e)) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (pow v 2)) (* 11/6 (/ (pow v 2) e))) e)) (* -5/6 (pow v 2))) e)) (* -1/3 (pow v 2))) e))
(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) #s(literal 11/6 binary64) (*.f64 (*.f64 v v) #s(literal -4/3 binary64))) e)) e)) (neg.f64 e))
1
#s(literal 1 binary64)
(+ 1 (* 2 e))
(fma.f64 e #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* e (+ 2 e)))
(fma.f64 e (+.f64 e #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* e (+ 2 e)))
(fma.f64 e (+.f64 e #s(literal 2 binary64)) #s(literal 1 binary64))
(pow e 2)
(*.f64 e e)
(* (pow e 2) (+ 1 (* 2 (/ 1 e))))
(*.f64 e (fma.f64 e (/.f64 #s(literal 2 binary64) e) e))
(* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))
(fma.f64 e (fma.f64 e (/.f64 #s(literal 2 binary64) e) e) #s(literal 1 binary64))
(* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))
(fma.f64 e (fma.f64 e (/.f64 #s(literal 2 binary64) e) e) #s(literal 1 binary64))
(pow e 2)
(*.f64 e e)
(* (pow e 2) (+ 1 (* 2 (/ 1 e))))
(*.f64 e (fma.f64 e (/.f64 #s(literal 2 binary64) e) e))
(* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))
(fma.f64 e (fma.f64 e (/.f64 #s(literal 2 binary64) e) e) #s(literal 1 binary64))
(* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 1 (pow e 2)))))
(fma.f64 e (fma.f64 e (/.f64 #s(literal 2 binary64) e) e) #s(literal 1 binary64))
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (-.f64 #s(literal -1 binary64) e)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 e (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (-.f64 #s(literal -1 binary64) e))))) (-.f64 #s(literal -1 binary64) e)) (fma.f64 (/.f64 (*.f64 e (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/24 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (-.f64 #s(literal -1 binary64) e))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e (*.f64 (neg.f64 (sin.f64 v)) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* v (+ 1/6 (* -1/3 e)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* 1/6 v)
(*.f64 v #s(literal 1/6 binary64))
(+ (* -1/3 (* e v)) (* 1/6 v))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(+ (* -1/3 (* e v)) (* 1/6 v))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(+ (* -1/3 (* e v)) (* 1/6 v))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* -1/3 (* e v))
(*.f64 (*.f64 e v) #s(literal -1/3 binary64))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(*.f64 e (fma.f64 v #s(literal -1/3 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e)))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(*.f64 e (fma.f64 v #s(literal -1/3 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e)))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(*.f64 e (fma.f64 v #s(literal -1/3 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e)))
(* -1/3 (* e v))
(*.f64 (*.f64 e v) #s(literal -1/3 binary64))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(*.f64 e (fma.f64 v #s(literal -1/3 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e)))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(*.f64 e (fma.f64 v #s(literal -1/3 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e)))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(*.f64 e (fma.f64 v #s(literal -1/3 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e)))

rewrite351.0ms (4.4%)

Memory
7.2MiB live, 642.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 018×lower-*.f32
5 008×lower-*.f64
4 096×lower-/.f32
4 078×lower-/.f64
3 168×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040179
072171
1266170
22110170
08116169
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 885
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 v (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e)
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(cos.f64 v)
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))) #s(literal -1 binary64)))
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(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))
(*.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e)) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log1p.f64 e)) (exp.f64 (log1p.f64 e)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 e (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))))
(neg.f64 (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e)) (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(pow.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 (/.f64 e #s(literal 1 binary64)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))) (neg.f64 e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 e)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 e))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 e)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))))
(cos.f64 v)
(+.f64 (*.f64 v (*.f64 e #s(literal -1/3 binary64))) (*.f64 v #s(literal 1/6 binary64)))
(+.f64 (*.f64 v #s(literal 1/6 binary64)) (*.f64 v (*.f64 e #s(literal -1/3 binary64))))
(fma.f64 v #s(literal 1/6 binary64) (*.f64 v (*.f64 e #s(literal -1/3 binary64))))
(fma.f64 v (*.f64 e #s(literal -1/3 binary64)) (*.f64 v #s(literal 1/6 binary64)))
(fma.f64 e (*.f64 #s(literal -1/3 binary64) v) (*.f64 v #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 e v) (*.f64 v #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))
(fma.f64 (*.f64 e #s(literal -1/3 binary64)) v (*.f64 v #s(literal 1/6 binary64)))
(fma.f64 (*.f64 v e) #s(literal -1/3 binary64) (*.f64 v #s(literal 1/6 binary64)))
(fma.f64 (*.f64 v #s(literal -1/3 binary64)) e (*.f64 v #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/27 binary64)) (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/216 binary64) (*.f64 v (*.f64 v v)))) (fma.f64 (*.f64 v (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 e #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 v #s(literal 1/6 binary64)) (*.f64 v #s(literal 1/6 binary64))) (*.f64 (*.f64 v (*.f64 e #s(literal -1/3 binary64))) (*.f64 v #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 e #s(literal -1/3 binary64)))) (*.f64 (*.f64 v #s(literal 1/6 binary64)) (*.f64 v #s(literal 1/6 binary64)))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/3 binary64))) (*.f64 v #s(literal 1/6 binary64))))
(/.f64 (*.f64 v (fma.f64 (*.f64 e (*.f64 e e)) #s(literal -1/27 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 e e) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/18 binary64))))
(/.f64 (*.f64 v (fma.f64 (*.f64 e e) #s(literal 1/9 binary64) #s(literal -1/36 binary64))) (fma.f64 e #s(literal -1/3 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 e (*.f64 e e)) #s(literal -1/27 binary64) #s(literal 1/216 binary64)) v) (-.f64 (fma.f64 (*.f64 e e) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/18 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) v) (fma.f64 e #s(literal -1/3 binary64) #s(literal -1/6 binary64)))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v)

eval99.0ms (1.2%)

Memory
-27.0MiB live, 188.1MiB allocated
Compiler

Compiled 10 403 to 671 computations (93.5% saved)

prune53.0ms (0.7%)

Memory
30.7MiB live, 148.6MiB allocated
Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New6389647
Fresh167
Picked145
Done066
Total64025665
Accuracy
100.0%
Counts
665 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
65.3%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
97.7%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
49.6%
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
97.7%
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
✓50.7%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
49.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓50.8%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
49.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
✓50.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
50.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
49.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
97.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
49.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
50.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
✓49.1%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
✓49.7%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
✓99.3%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
49.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
✓97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
49.2%
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
✓49.7%
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
Compiler

Compiled 925 to 377 computations (59.2% saved)

regimes60.0ms (0.8%)

Memory
-24.9MiB live, 56.7MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

36.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
10.0ms
v
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes28.0ms (0.4%)

Memory
-7.0MiB live, 31.9MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
Calls

3 calls:

12.0ms
e
7.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.3%1e
99.3%1v
99.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes24.0ms (0.3%)

Memory
3.8MiB live, 42.1MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
Calls

3 calls:

8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
7.0ms
v
7.0ms
e
Results
AccuracySegmentsBranch
99.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.3%1e
99.3%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes24.0ms (0.3%)

Memory
6.9MiB live, 47.3MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

9.0ms
e
7.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.6%1e
98.6%1v
98.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes20.0ms (0.2%)

Memory
2.5MiB live, 41.3MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Calls

3 calls:

7.0ms
e
6.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
6.0ms
v
Results
AccuracySegmentsBranch
97.9%1e
97.9%1v
97.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes19.0ms (0.2%)

Memory
4.0MiB live, 41.6MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)) e))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (sin v) (/ (+ (* e (cos v)) 1) e)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
Calls

3 calls:

5.0ms
e
5.0ms
v
5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
50.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.8%1e
50.8%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory
-13.5MiB live, 25.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
Outputs
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
Calls

3 calls:

3.0ms
v
3.0ms
e
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
50.8%1v
50.8%1e
50.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e (cos v)) 1) (sin v)) e) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
(/.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
Outputs
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
3.0ms
v
Results
AccuracySegmentsBranch
49.7%1v
49.7%1e
49.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify19.0ms (0.2%)

Memory
-40.3MiB live, 19.1MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
14×+-commutative_binary64
10×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048156
172156
284156
391156
495156
596156
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) e)
(*.f64 e #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))) e)
(*.f64 e (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) v)))
#s(approx (/ e (/ (+ (* e (cos v)) 1) (sin v))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))

soundness878.0ms (11%)

Memory
29.6MiB live, 698.3MiB allocated
Rules
14 120×lower-fma.f64
14 120×lower-fma.f32
12 842×lower-fma.f64
12 842×lower-fma.f32
6 486×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043262
080262
1322238
22820238
08203226
01951209
15841194
216521162
349071089
080391013
04183678
113303532
240653418
084683218
01883
03583
111783
272883
3724183
0862583
0929
01529
14229
224129
3209729
0837027
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 297 to 156 computations (47.5% saved)

preprocess68.0ms (0.9%)

Memory
18.7MiB live, 136.2MiB allocated
Remove

(negabs v)

Compiler

Compiled 340 to 176 computations (48.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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