Trigonometry A

Time bar (total: 9.4s)

analyze6.0ms (0.1%)

Memory
10.0MiB 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)

sample1.3s (13.8%)

Memory
28.9MiB live, 1 676.5MiB allocated
Samples
961.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 756.0ms
ival-sin: 260.0ms (34.4% of total)
ival-cos: 151.0ms (20% of total)
ival-<=: 125.0ms (16.5% of total)
ival-mult: 105.0ms (13.9% of total)
ival-div: 52.0ms (6.9% of total)
ival-add: 38.0ms (5% of total)
ival-and: 11.0ms (1.5% of total)
exact: 11.0ms (1.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess71.0ms (0.8%)

Memory
15.9MiB live, 54.7MiB allocated
Algorithm
2×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
02972
17268
215966
340466
4100366
5155066
6172566
7187466
8203066
9244266
10253966
11260066
12265466
13265966
0911
11611
21911
32011
02010
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Call 2
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin v)) (+ (* e (cos v)) -1))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(* e (/ (sin v) (- -1 (* e (cos v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(/ (* e (sin v)) (- 1 (* e (cos v))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Symmetry

(negabs v)

explain127.0ms (1.3%)

Memory
-15.9MiB live, 251.3MiB 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
48.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 11.0ms (34% of total)
ival-cos: 9.0ms (27.8% of total)
ival-mult: 6.0ms (18.5% of total)
ival-div: 3.0ms (9.3% of total)
ival-add: 2.0ms (6.2% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

simplify6.0ms (0.1%)

Memory
-31.2MiB live, 8.5MiB 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×*-lowering-*.f32
16×*-lowering-*.f64
8×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
11632
21932
32032
02030
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
e
(sin v)
v
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
Outputs
(/ (* 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)
(sin.f64 v)
v
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)

localize34.0ms (0.4%)

Memory
36.5MiB live, 76.0MiB 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))))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
23.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 5.0ms (32.5% of total)
ival-cos: 4.0ms (26% of total)
ival-mult: 3.0ms (19.5% of total)
ival-div: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-17.8MiB live, 21.6MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+ 1 (* e (cos v)))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (cos 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
2.0ms
v
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(+ 1 (* e (cos v)))
1.0ms
v
@-inf
(/ (* 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))

rewrite402.0ms (4.3%)

Memory
18.7MiB live, 608.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×accelerator-lowering-fma.f32
5 798×accelerator-lowering-fma.f64
4 350×/-lowering-/.f32
4 350×/-lowering-/.f64
3 988×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
13629
223529
3209329
0835227
Stop Event
1×iter limit
1×node limit
Counts
6 → 347
Calls
Call 1
Inputs
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(* e (cos v))
(cos v)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))))
(+.f64 (*.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))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) #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) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (/.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 (fma.f64 (cos.f64 v) (neg.f64 e) #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))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) #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) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #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 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (cos.f64 v) (neg.f64 e)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #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))))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
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(*.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 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #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 e (*.f64 (cos.f64 v) (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)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
(*.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) (pow.f64 (*.f64 (cos.f64 v) (neg.f64 e)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.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)))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #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 e (*.f64 (cos.f64 v) (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) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (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 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (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))

simplify385.0ms (4.1%)

Memory
-2.0MiB live, 667.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
5 646×*-lowering-*.f32
5 646×*-lowering-*.f64
3 948×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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)

eval57.0ms (0.6%)

Memory
4.7MiB live, 124.2MiB allocated
Compiler

Compiled 13 530 to 1 266 computations (90.6% saved)

prune122.0ms (1.3%)

Memory
12.4MiB live, 88.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4589467
Fresh000
Picked101
Done000
Total4599468
Accuracy
99.9%
Counts
468 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.2%
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
58.8%
(/.f64 (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶58.1%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.5%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #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)
▶99.0%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
58.4%
(*.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))))
▶98.2%
(*.f64 e (sin.f64 v))
Compiler

Compiled 280 to 170 computations (39.3% saved)

simplify462.0ms (4.9%)

Memory
-6.3MiB live, 435.1MiB 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)) (*.f64 e (sin.f64 v)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (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-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Rules
12 712×accelerator-lowering-fma.f32
12 712×accelerator-lowering-fma.f64
2 800×/-lowering-/.f32
2 800×/-lowering-/.f64
2 664×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020129
152129
2101127
3241127
4495127
5661127
6878127
71190127
81585127
92660121
103932121
114699121
125060121
135249121
145303121
155323121
165967121
176696121
187129121
197254121
207287121
217305121
227325121
237477121
247481121
257481121
08835118
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(/ (sin v) (+ (* e (cos v)) 1))
(sin v)
v
(+ (* e (cos v)) 1)
e
(cos v)
1
(/ (* e v) (+ 1 e))
(* e v)
e
v
(+ 1 e)
1
(* e (sin v))
e
(sin v)
v
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
(sin v)
v
(+ (* (cos v) (* e (neg e))) e)
(cos v)
(* e (neg e))
e
(neg e)
(/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))
1
(/ (+ (* e (cos v)) 1) (* e (sin v)))
(+ (* e (cos v)) 1)
e
(cos v)
v
(* e (sin v))
(sin v)
Outputs
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ (* e (cos v)) 1))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
v
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(* e v)
(*.f64 v e)
e
v
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (sin v))
(*.f64 (sin.f64 v) e)
e
(sin v)
(sin.f64 v)
v
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(sin v)
(sin.f64 v)
v
(+ (* (cos v) (* e (neg e))) e)
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(cos v)
(cos.f64 v)
(* e (neg e))
(*.f64 e (neg.f64 e))
e
(neg e)
(neg.f64 e)
(/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* e (cos v)) 1) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
v
(* e (sin v))
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)

localize90.0ms (1%)

Memory
-7.6MiB live, 109.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.7%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(neg.f64 e)
✓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)
✓accuracy100.0%
(/.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
47.0ms256×0valid
Compiler

Compiled 125 to 22 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (32.9% of total)
ival-div: 6.0ms (19.7% of total)
ival-sin: 5.0ms (16.4% of total)
ival-cos: 4.0ms (13.2% of total)
ival-add: 3.0ms (9.9% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (* (/ (sin v) (+ (* e (cos v)) 1)) e)>
#<alt (/ (sin v) (+ (* e (cos v)) 1))>
#<alt (sin v)>
#<alt (+ (* e (cos v)) 1)>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (+ 1 e)>
#<alt (* e (sin v))>
#<alt (* (sin v) (+ (* (cos v) (* e (neg e))) e))>
#<alt (+ (* (cos v) (* e (neg e))) e)>
#<alt (cos v)>
#<alt (/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))>
#<alt (/ (+ (* e (cos v)) 1) (* e (sin v)))>
#<alt (neg 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 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (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))

rewrite373.0ms (4%)

Memory
1.7MiB live, 559.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 794×accelerator-lowering-fma.f32
6 794×accelerator-lowering-fma.f64
5 134×*-lowering-*.f32
5 134×*-lowering-*.f64
3 768×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02092
110992
274690
3752290
0855385
Stop Event
1×iter limit
1×node limit
Counts
14 → 984
Calls
Call 1
Inputs
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(/ (sin v) (+ (* e (cos v)) 1))
(sin v)
(+ (* e (cos v)) 1)
(/ (* e v) (+ 1 e))
(* e v)
(+ 1 e)
(* e (sin v))
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
(+ (* (cos v) (* e (neg e))) e)
(cos v)
(/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))
(/ (+ (* e (cos v)) 1) (* e (sin v)))
(neg e)
Outputs
(+.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(+.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 #s(literal 1 binary64) (*.f64 e (cos.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 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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 #s(literal 1 binary64) (*.f64 e (cos.f64 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 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 #s(literal -1 binary64) (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.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 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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 #s(literal 1 binary64) (*.f64 e (cos.f64 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 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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(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 #s(literal 1 binary64) (*.f64 e (cos.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 (*.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 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(/.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 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #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 #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) (neg.f64 e)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #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) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.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 (/.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 (/.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 (sin.f64 v) (*.f64 e (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 v v)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #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 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.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) (*.f64 (sin.f64 v) e)))
(/.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 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.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 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #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 (*.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 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 (*.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 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #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)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))) #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 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 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 (sin.f64 v) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 (sin.f64 v)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #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 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #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))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (fma.f64 e (cos.f64 v) #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))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64))
(*.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 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (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) (neg.f64 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))) (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 e))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e))) (neg.f64 (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)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e))) (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 (neg.f64 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) e))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #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 (*.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 (*.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 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 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 #s(literal 1 binary64) e) (/.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)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.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 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.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 (sin.f64 v) e)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) e) (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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.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 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (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 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (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 (sin.f64 v) e)))
(*.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) (*.f64 e (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) (*.f64 (sin.f64 v) e))))
(*.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) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e)) (/.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)) (*.f64 (sin.f64 v) e)) (/.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) (*.f64 (sin.f64 v) e)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.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 (*.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 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #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 (/.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))) e))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) (/.f64 (/.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))) (sin.f64 v)))
(*.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 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(*.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)) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.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 (sin.f64 v) e)))
(*.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)) #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 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.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))) (*.f64 (sin.f64 v) e)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #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)) (*.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 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)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #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 (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) (/.f64 (*.f64 e 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 (*.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) e #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) 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)
(neg.f64 (/.f64 (*.f64 e e) e))
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (neg.f64 (*.f64 e (*.f64 e e)))))
(/.f64 (*.f64 e (neg.f64 e)) e)
(/.f64 (*.f64 e (neg.f64 e)) (-.f64 #s(literal 0 binary64) (neg.f64 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)))) (*.f64 e (neg.f64 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 (*.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) e))
(*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))

simplify436.0ms (4.6%)

Memory
-7.1MiB live, 664.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 612×accelerator-lowering-fma.f32
12 612×accelerator-lowering-fma.f64
6 576×*-lowering-*.f32
6 576×*-lowering-*.f64
4 338×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04153708
113363552
241533404
086773231
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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))))
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(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
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Outputs
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(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 (fma.f64 v (*.f64 v (fma.f64 (+.f64 (+.f64 #s(literal -1/360 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) (*.f64 v (neg.f64 v)) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (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)

eval174.0ms (1.8%)

Memory
23.1MiB live, 332.8MiB allocated
Compiler

Compiled 32 631 to 2 904 computations (91.1% saved)

prune177.0ms (1.9%)

Memory
-6.8MiB live, 377.2MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 490221 512
Fresh314
Picked145
Done000
Total1 494271 521
Accuracy
100.0%
Counts
1 521 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))))
69.7%
(/.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
✓58.1%
(/.f64 (*.f64 e 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))
99.5%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
58.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
59.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
57.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
▶97.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
2.5%
(-.f64 v (/.f64 v e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
58.2%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
74.0%
(*.f64 (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) (sin.f64 v)))
99.0%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
74.4%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓99.0%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
57.9%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
▶58.0%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
57.6%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
58.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
58.0%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
▶57.6%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
57.8%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.2%
(*.f64 e (sin.f64 v))
57.3%
(*.f64 e v)
▶5.0%
v
Compiler

Compiled 842 to 486 computations (42.3% saved)

simplify330.0ms (3.5%)

Memory
-11.0MiB live, 479.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 e (*.f64 v v))
✓cost-diff0
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)
✓cost-diff0
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
✓cost-diff0
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
✓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-diff192
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
12 104×accelerator-lowering-fma.f32
12 104×accelerator-lowering-fma.f64
4 058×*-lowering-*.f32
4 058×*-lowering-*.f64
2 332×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025134
171130
2206128
3500128
4859128
5988128
61286128
71449124
81556124
91887124
103088124
113270124
123320124
133323124
143326124
153326124
163326124
173326124
186430124
196788124
207948124
217991124
08005116
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
v
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
e
(cos v)
1
v
(* e (+ (* v (* (* v v) -1/6)) v))
e
(+ (* v (* (* v v) -1/6)) v)
v
(* (* v v) -1/6)
(* v v)
-1/6
(* v (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e))
v
(+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e)
(* e (* v v))
e
(* v v)
(+ (* (* v v) 1/120) -1/6)
1/120
-1/6
(/ 1 (/ 1 (* (sin v) e)))
1
(/ 1 (* (sin v) e))
(* (sin v) e)
(sin v)
v
e
Outputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
v
(/ (+ (* e (cos v)) 1) e)
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
v
(* e (+ (* v (* (* v v) -1/6)) v))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v e)) e))
e
(+ (* v (* (* v v) -1/6)) v)
(fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)
v
(* (* v v) -1/6)
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* v v)
(*.f64 v v)
-1/6
#s(literal -1/6 binary64)
(* v (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
v
(+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e)
(fma.f64 (*.f64 v (*.f64 v e)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e)
(* e (* v v))
(*.f64 v (*.f64 v e))
e
(* v v)
(*.f64 v v)
(+ (* (* v v) 1/120) -1/6)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(/ 1 (/ 1 (* (sin v) e)))
(*.f64 (sin.f64 v) e)
1
#s(literal 1 binary64)
(/ 1 (* (sin v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(* (sin v) e)
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
e

localize117.0ms (1.2%)

Memory
16.5MiB live, 93.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
✓accuracy99.9%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
✓accuracy99.9%
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)
✓accuracy99.6%
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓accuracy90.8%
(*.f64 e (*.f64 v v))
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓accuracy94.4%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
88.0ms256×0valid
Compiler

Compiled 130 to 27 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 45.0ms (61.3% of total)
ival-div: 6.0ms (8.2% of total)
ival-add: 6.0ms (8.2% of total)
const: 6.0ms (8.2% of total)
ival-sin: 5.0ms (6.8% of total)
ival-cos: 4.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-9.1MiB live, 28.4MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#<alt (/ (sin v) (/ (+ (* e (cos v)) 1) e))>
#<alt (/ (+ (* e (cos v)) 1) e)>
#<alt (sin v)>
#<alt (+ (* e (cos v)) 1)>
#<alt (* e (+ (* v (* (* v v) -1/6)) v))>
#<alt (+ (* v (* (* v v) -1/6)) v)>
#<alt (* (* v v) -1/6)>
#<alt (* v v)>
#<alt (* v (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e))>
#<alt (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e)>
#<alt (* e (* v v))>
#<alt (/ 1 (/ 1 (* (sin v) e)))>
#<alt (/ 1 (* (sin v) e))>
#<alt (* (sin v) e)>
#<alt (cos v)>
#<alt (+ (* (* v v) 1/120) -1/6)>
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)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) 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 (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1/6 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<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) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))>
#<alt (* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))>
#<alt (* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))>
#<alt (* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))>
#<alt (* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))>
#<alt (* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))>
#<alt (* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))>
#<alt (* 1/120 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<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 (* 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 (/ 1 (* e v))>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* 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 (* 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 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 -1/6>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
e
@inf
(/ 1 (* (sin v) e))
1.0ms
e
@0
(* v (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e))
1.0ms
e
@0
(* e (+ (* v (* (* v v) -1/6)) v))
1.0ms
e
@inf
(* v (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e))
1.0ms
v
@inf
(* e (+ (* v (* (* v v) -1/6)) v))

rewrite375.0ms (4%)

Memory
13.6MiB live, 496.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 594×accelerator-lowering-fma.f32
10 594×accelerator-lowering-fma.f64
6 186×*-lowering-*.f32
6 186×*-lowering-*.f64
3 344×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025115
1151111
21110111
08671101
Stop Event
1×iter limit
1×node limit
Counts
16 → 667
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(/ (+ (* e (cos v)) 1) e)
(sin v)
(+ (* e (cos v)) 1)
(* e (+ (* v (* (* v v) -1/6)) v))
(+ (* v (* (* v v) -1/6)) v)
(* (* v v) -1/6)
(* v v)
(* v (+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e))
(+ (* (* e (* v v)) (+ (* (* v v) 1/120) -1/6)) e)
(* e (* v v))
(/ 1 (/ 1 (* (sin v) e)))
(/ 1 (* (sin v) e))
(* (sin v) e)
(cos v)
(+ (* (* v v) 1/120) -1/6)
Outputs
(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 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e)) (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))))
(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) (neg.f64 e)) (fma.f64 e (cos.f64 v) #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))))
(/.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) 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 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #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 #s(literal -1 binary64) (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.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))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
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(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 e))
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(*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(*.f64 (fma.f64 v (*.f64 (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) v) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 v (*.f64 (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) v) #s(literal 1/36 binary64)) (*.f64 (*.f64 v v) #s(literal 1/720 binary64))))))
(*.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) v) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal -1/120 binary64)))))

simplify379.0ms (4%)

Memory
9.6MiB live, 482.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 700×accelerator-lowering-fma.f32
11 700×accelerator-lowering-fma.f64
5 860×*-lowering-*.f32
5 860×*-lowering-*.f64
3 212×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02832966
18632927
226042813
363542754
082522576
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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 (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* -1/6 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 3))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 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) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))
(* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))
(* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))
(* -1 (* e (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))
(* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))
(* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))
(* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))
(* 1/120 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* 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))
(* 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))
(/ 1 (* e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* 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))
(* 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))
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)
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
Outputs
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e 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 (*.f64 v v) (fma.f64 (*.f64 e #s(literal 1/2 binary64)) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.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))))
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(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) v) v)
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) v) v)

eval148.0ms (1.6%)

Memory
6.4MiB live, 193.6MiB allocated
Compiler

Compiled 23 512 to 2 181 computations (90.7% saved)

prune130.0ms (1.4%)

Memory
7.6MiB live, 245.2MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New1 024161 040
Fresh61218
Picked235
Done044
Total1 032351 067
Accuracy
100.0%
Counts
1 067 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
80.3%
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 2 binary64))
28.6%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))))
69.7%
(/.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
✓58.1%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
98.0%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
58.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
58.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
57.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
58.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
✓97.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
56.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
97.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
2.5%
(-.f64 v (/.f64 v e))
▶57.6%
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
98.0%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
58.2%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
▶99.0%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
46.1%
(*.f64 (*.f64 (*.f64 v (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) v) v)) e) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))
▶9.8%
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
74.4%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓99.0%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
57.9%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
✓58.0%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
▶57.3%
(*.f64 v e)
▶58.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
58.0%
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
57.6%
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
57.8%
(*.f64 e (-.f64 v (*.f64 e v)))
32.4%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
✓98.2%
(*.f64 e (sin.f64 v))
✓5.0%
v
Compiler

Compiled 994 to 574 computations (42.3% saved)

simplify245.0ms (2.6%)

Memory
-5.6MiB live, 388.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
✓cost-diff0
(*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e))))
✓cost-diff128
(fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e))
✓cost-diff4032
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
✓cost-diff0
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(*.f64 v #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
✓cost-diff0
(*.f64 v e)
✓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-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
Rules
8 208×accelerator-lowering-fma.f32
8 208×accelerator-lowering-fma.f64
4 142×*-lowering-*.f32
4 142×*-lowering-*.f64
3 134×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037244
1123244
2388238
31684232
44507232
08198216
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (- 1 (* e (cos v))) (sin v)) e)
(* (- 1 (* e (cos v))) (sin v))
(- 1 (* e (cos v)))
1
(* e (cos v))
e
(cos v)
v
(sin v)
(* v e)
v
e
(* (+ (* v (* v -1/6)) 1) (* v e))
(+ (* v (* v -1/6)) 1)
v
(* v -1/6)
-1/6
1
(* v e)
e
(* e (+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v))
e
(+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v)
(+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6)
(* v v)
v
(+ (* (* v v) -1/5040) 1/120)
-1/5040
1/120
-1/6
(* v (* v v))
(* (* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e)))) (/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e)))))
(* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e))))
(* e (+ (* (* v v) (* v -1/6)) v))
e
(+ (* (* v v) (* v -1/6)) v)
(* v v)
v
(* v -1/6)
-1/6
(* v (+ (* -1/6 (* v (* v e))) (neg e)))
(+ (* -1/6 (* v (* v e))) (neg e))
(* v (* v e))
(* v e)
(neg e)
(/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e))))
1
Outputs
(* (* (- 1 (* e (cos v))) (sin v)) e)
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(* (- 1 (* e (cos v))) (sin v))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(- 1 (* e (cos v)))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(* v e)
(*.f64 e v)
v
e
(* (+ (* v (* v -1/6)) 1) (* v e))
(*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v))
(+ (* v (* v -1/6)) 1)
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
v
(* v -1/6)
(*.f64 v #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(* v e)
(*.f64 e v)
e
(* e (+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
e
(+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v)
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6)
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(* v v)
(*.f64 v v)
v
(+ (* (* v v) -1/5040) 1/120)
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* v (* v v))
(*.f64 v (*.f64 v v))
(* (* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e)))) (/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e)))))
(*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v))
(* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e))))
(*.f64 (*.f64 e v) (*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(* e (+ (* (* v v) (* v -1/6)) v))
(*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v))
e
(+ (* (* v v) (* v -1/6)) v)
(fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)
(* v v)
(*.f64 v v)
v
(* v -1/6)
(*.f64 v #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* v (+ (* -1/6 (* v (* v e))) (neg e)))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(+ (* -1/6 (* v (* v e))) (neg e))
(*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* v (* v e))
(*.f64 e (*.f64 v v))
(* v e)
(*.f64 e v)
(neg e)
(neg.f64 e)
(/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
1
#s(literal 1 binary64)

localize387.0ms (4.1%)

Memory
-197.5MiB live, 287.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e))))
✓accuracy94.4%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
✓accuracy24.0%
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
✓accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓accuracy99.9%
(*.f64 v (*.f64 v v))
✓accuracy99.2%
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy98.5%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓accuracy99.4%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy98.8%
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓accuracy99.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
327.0ms256×0valid
Compiler

Compiled 267 to 39 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 27.0ms (37.1% of total)
const: 17.0ms (23.3% of total)
ival-sin: 14.0ms (19.2% of total)
ival-add: 6.0ms (8.2% of total)
ival-cos: 5.0ms (6.9% of total)
ival-div: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
-1.7MiB live, 74.1MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#<alt (* (* (- 1 (* e (cos v))) (sin v)) e)>
#<alt (* (- 1 (* e (cos v))) (sin v))>
#<alt (- 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* v e)>
#<alt (* (+ (* v (* v -1/6)) 1) (* v e))>
#<alt (+ (* v (* v -1/6)) 1)>
#<alt (* v -1/6)>
#<alt (* e (+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v))>
#<alt (+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v)>
#<alt (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6)>
#<alt (* v v)>
#<alt (* (* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e)))) (/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e)))))>
#<alt (+ (* -1/6 (* v (* v e))) (neg e))>
#<alt (* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e))))>
#<alt (* e (+ (* (* v v) (* v -1/6)) v))>
#<alt (cos v)>
#<alt (+ (* (* v v) -1/5040) 1/120)>
#<alt (* v (* v v))>
#<alt (/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e))))>
Outputs
#<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 (* v (- 1 e)))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))>
#<alt (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))>
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#<alt (/ (- (* (pow v 2) (+ (* (pow v 2) (- (* 1/216 (/ (pow v 2) e)) (* 1/36 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ -6 (* e (pow v 3)))>
#<alt (/ (- (* 36 (/ 1 (* e (pow v 2)))) (* 6 (/ 1 e))) (pow v 3))>
#<alt (/ (- (/ 36 (* e (pow v 2))) (+ (* 6 (/ 1 e)) (/ 216 (* e (pow v 4))))) (pow v 3))>
#<alt (/ (- (+ (* 1296 (/ 1 (* e (pow v 6)))) (/ 36 (* e (pow v 2)))) (+ (* 6 (/ 1 e)) (* 216 (/ 1 (* e (pow v 4)))))) (pow v 3))>
#<alt (/ -6 (* e (pow v 3)))>
#<alt (* -1 (/ (- (* 6 (/ 1 e)) (* 36 (/ 1 (* e (pow v 2))))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* 6 (/ 1 e)) (/ 216 (* e (pow v 4)))) (/ 36 (* e (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* 6 (/ 1 e)) (* 216 (/ 1 (* e (pow v 4))))) (+ (* 1296 (/ 1 (* e (pow v 6)))) (/ 36 (* e (pow v 2))))) (pow v 3)))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))>
#<alt (/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))>
Calls

96 calls:

TimeVariablePointExpression
6.0ms
e
@inf
(* (* (- 1 (* e (cos v))) (sin v)) e)
6.0ms
e
@0
(* e (+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v))
1.0ms
e
@0
(* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e))))
1.0ms
e
@-inf
(* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e))))
1.0ms
e
@0
(* (* (- 1 (* e (cos v))) (sin v)) e)

rewrite412.0ms (4.4%)

Memory
35.4MiB live, 629.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 524×accelerator-lowering-fma.f32
5 524×accelerator-lowering-fma.f64
4 018×*-lowering-*.f32
4 018×*-lowering-*.f64
3 884×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037187
1215187
21712181
08307167
Stop Event
1×iter limit
1×node limit
Counts
20 → 934
Calls
Call 1
Inputs
(* (* (- 1 (* e (cos v))) (sin v)) e)
(* (- 1 (* e (cos v))) (sin v))
(- 1 (* e (cos v)))
(* e (cos v))
(* v e)
(* (+ (* v (* v -1/6)) 1) (* v e))
(+ (* v (* v -1/6)) 1)
(* v -1/6)
(* e (+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v))
(+ (* (+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6) (* v (* v v))) v)
(+ (* (* v v) (+ (* (* v v) -1/5040) 1/120)) -1/6)
(* v v)
(* (* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e)))) (/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e)))))
(+ (* -1/6 (* v (* v e))) (neg e))
(* (* e (+ (* (* v v) (* v -1/6)) v)) (* v (+ (* -1/6 (* v (* v e))) (neg e))))
(* e (+ (* (* v v) (* v -1/6)) v))
(cos v)
(+ (* (* v v) -1/5040) 1/120)
(* v (* v v))
(/ 1 (* v (+ (* -1/6 (* v (* v e))) (neg e))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))))) (*.f64 e (sin.f64 v)))))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (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 (-.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)))))) (*.f64 e (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (sin.f64 v)))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.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)))))) (*.f64 e (sin.f64 v)))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (*.f64 e (sin.f64 v)) (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))) (sin.f64 v))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (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 (-.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)))))) (*.f64 e (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))
(+.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 #s(literal 1 binary64) (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (sin.f64 v) #s(literal 1 binary64) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 (sin.f64 v) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (-.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)) (*.f64 (sin.f64 v) (-.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)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))))) (sin.f64 v))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (-.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 e (cos.f64 v) #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)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.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)))))) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (-.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)))))))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.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)))))) (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (sin.f64 v) (-.f64 (*.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (sin.f64 v) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v))) (*.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v))))))
(/.f64 (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))) (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e)))))
(/.f64 (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)))) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v))))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (-.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 (sin.f64 v) (-.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))))))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #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 (-.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)))))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) (neg.f64 e)))
(+.f64 (*.f64 (cos.f64 v) (neg.f64 e)) #s(literal 1 binary64))
(+.f64 (/.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))) (neg.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (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) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.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) (*.f64 e (cos.f64 v)))
(-.f64 (/.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 e (cos.f64 v)) #s(literal 3 binary64)) (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) (fma.f64 e (cos.f64 v) #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))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) (neg.f64 e)) #s(literal 1 binary64))
(fma.f64 #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))) (neg.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.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)))))
(fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (cos.f64 v)) e #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (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))) (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 (*.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.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))))))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.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 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #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 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #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))))))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
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(*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
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(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(*.f64 v (*.f64 v v))
(*.f64 (*.f64 v v) v)
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)) (neg.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e))) v)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) v))) (neg.f64 (neg.f64 (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))) (neg.f64 v))
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(pow.f64 (*.f64 (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e))) (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) (neg.f64 e)))) #s(literal -1/2 binary64))
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simplify480.0ms (5.1%)

Memory
-31.2MiB live, 621.1MiB allocated
Algorithm
1×egg-herbie
Rules
16 120×accelerator-lowering-fma.f32
16 120×accelerator-lowering-fma.f64
5 646×+-lowering-+.f64
5 646×+-lowering-+.f32
4 726×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03784076
112503859
242543739
080943504
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 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)))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* v (- 1 e))
(* v (- (+ 1 (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) e))
(* 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))
(* 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))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
(* (sin v) (- 1 (* e (cos v))))
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(* -1 (* e (cos v)))
(* e (- (/ 1 e) (cos v)))
(* e (- (/ 1 e) (cos v)))
(* e (- (/ 1 e) (cos v)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(- 1 e)
(- (+ 1 (* 1/2 (* e (pow v 2)))) e)
(- (+ 1 (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e)))) e)
(- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e)))) 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 (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))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
1
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ v (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* 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)))))))
(* -1/5040 (* e (pow v 7)))
(* (pow v 7) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* -1/5040 (* e (pow v 7)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))
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))))
(* -1/5040 (pow v 7))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
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(* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* -1/5040 (pow v 7))
(* -1 (* (pow v 7) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))))))
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)
(- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)
(* -1/5040 (pow v 4))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* -1/5040 (pow v 4))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 e)
(- (* -1/6 (* e (pow v 2))) e)
(- (* -1/6 (* e (pow v 2))) e)
(- (* -1/6 (* e (pow v 2))) e)
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* -1/6 e)))
(* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* -1/6 e)))
(* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* -1/6 e)))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* -1/6 e)))
(* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* -1/6 e)))
(* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* -1/6 e)))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* e (- (* -1/6 (pow v 2)) 1))
(* -1 (* e (+ 1 (* 1/6 (pow v 2)))))
(* -1 (* e (+ 1 (* 1/6 (pow v 2)))))
(* -1 (* e (+ 1 (* 1/6 (pow v 2)))))
(* -1 (* e (+ 1 (* 1/6 (pow v 2)))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* (pow e 2) (* v (* (+ v (* -1/6 (pow v 3))) (- (* -1/6 (pow v 2)) 1))))
(* -1 (* (pow e 2) (* v (* (+ 1 (* 1/6 (pow v 2))) (+ v (* -1/6 (pow v 3)))))))
(* -1 (* (pow e 2) (* v (* (+ 1 (* 1/6 (pow v 2))) (+ v (* -1/6 (pow v 3)))))))
(* -1 (* (pow e 2) (* v (* (+ 1 (* 1/6 (pow v 2))) (+ v (* -1/6 (pow v 3)))))))
(* -1 (* (pow e 2) (* v (* (+ 1 (* 1/6 (pow v 2))) (+ v (* -1/6 (pow v 3)))))))
(* -1 (* (pow e 2) (pow v 2)))
(* (pow v 2) (+ (* -1 (pow e 2)) (* e (* (pow v 2) (+ (* -1/6 e) (* 1/6 e))))))
(* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/36 (* (pow e 2) (pow v 2))) (* e (+ (* -1/6 e) (* 1/6 e)))))))
(* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/36 (* (pow e 2) (pow v 2))) (* e (+ (* -1/6 e) (* 1/6 e)))))))
(* 1/36 (* (pow e 2) (pow v 6)))
(* (pow v 6) (+ (* 1/36 (pow e 2)) (/ (* e (+ (* -1/6 e) (* 1/6 e))) (pow v 2))))
(* (pow v 6) (+ (* -1 (/ (pow e 2) (pow v 4))) (+ (* 1/36 (pow e 2)) (/ (* e (+ (* -1/6 e) (* 1/6 e))) (pow v 2)))))
(* (pow v 6) (+ (* -1 (/ (pow e 2) (pow v 4))) (+ (* 1/36 (pow e 2)) (/ (* e (+ (* -1/6 e) (* 1/6 e))) (pow v 2)))))
(* 1/36 (* (pow e 2) (pow v 6)))
(* (pow v 6) (+ (* -1 (/ (* e (+ (* -1/6 e) (* 1/6 e))) (pow v 2))) (* 1/36 (pow e 2))))
(* (pow v 6) (+ (* -1 (/ (* e (+ (* -1/6 e) (* 1/6 e))) (pow v 2))) (+ (* -1 (/ (pow e 2) (pow v 4))) (* 1/36 (pow e 2)))))
(* (pow v 6) (+ (* -1 (/ (* e (+ (* -1/6 e) (* 1/6 e))) (pow v 2))) (+ (* -1 (/ (pow e 2) (pow v 4))) (* 1/36 (pow e 2)))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
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)
1/120
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(/ -1 (* e v))
(/ (- (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (- (* (pow v 2) (+ (* -1/36 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (- (* (pow v 2) (+ (* (pow v 2) (- (* 1/216 (/ (pow v 2) e)) (* 1/36 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ -6 (* e (pow v 3)))
(/ (- (* 36 (/ 1 (* e (pow v 2)))) (* 6 (/ 1 e))) (pow v 3))
(/ (- (/ 36 (* e (pow v 2))) (+ (* 6 (/ 1 e)) (/ 216 (* e (pow v 4))))) (pow v 3))
(/ (- (+ (* 1296 (/ 1 (* e (pow v 6)))) (/ 36 (* e (pow v 2)))) (+ (* 6 (/ 1 e)) (* 216 (/ 1 (* e (pow v 4)))))) (pow v 3))
(/ -6 (* e (pow v 3)))
(* -1 (/ (- (* 6 (/ 1 e)) (* 36 (/ 1 (* e (pow v 2))))) (pow v 3)))
(* -1 (/ (- (+ (* 6 (/ 1 e)) (/ 216 (* e (pow v 4)))) (/ 36 (* e (pow v 2)))) (pow v 3)))
(* -1 (/ (- (+ (* 6 (/ 1 e)) (* 216 (/ 1 (* e (pow v 4))))) (+ (* 1296 (/ 1 (* e (pow v 6)))) (/ 36 (* e (pow v 2))))) (pow v 3)))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
Outputs
(* 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) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (neg.f64 e))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (neg.f64 e))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* e (* v (- 1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))
(*.f64 v (*.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64) (fma.f64 (*.f64 v v) (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/5040 binary64))) v) v (*.f64 e #s(literal -1/8 binary64)))) (*.f64 e #s(literal 1/2 binary64))))) (-.f64 e (*.f64 e e))))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* -1 (* e (* (cos v) (sin v))))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* -1 (* e (* (cos v) (sin v))))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* v (- 1 e))
(*.f64 v (-.f64 #s(literal 1 binary64) e))
(* v (- (+ 1 (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) e))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) e)))
(* 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))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) e)))
(* 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))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64) (fma.f64 (*.f64 v v) (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/5040 binary64))) v) v (*.f64 e #s(literal -1/8 binary64)))) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) e)))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(neg.f64 (*.f64 e (cos.f64 v)))
(* e (- (/ 1 e) (cos v)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (- (/ 1 e) (cos v)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (- (/ 1 e) (cos v)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(neg.f64 (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(- 1 e)
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#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(/ -1 (* e v))
(/.f64 #s(literal -1 binary64) (*.f64 e v))
(/ (- (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64))) v)
(/ (- (* (pow v 2) (+ (* -1/36 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) e)) v)
(/ (- (* (pow v 2) (+ (* (pow v 2) (- (* 1/216 (/ (pow v 2) e)) (* 1/36 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 v v) e) #s(literal 1/216 binary64) (/.f64 #s(literal -1/36 binary64) e)) (/.f64 #s(literal 1/6 binary64) e)) (/.f64 #s(literal -1 binary64) e)) v)
(/ -6 (* e (pow v 3)))
(/.f64 #s(literal -6 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(/ (- (* 36 (/ 1 (* e (pow v 2)))) (* 6 (/ 1 e))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 e (*.f64 v v))) (/.f64 #s(literal -6 binary64) e)) (*.f64 v (*.f64 v v)))
(/ (- (/ 36 (* e (pow v 2))) (+ (* 6 (/ 1 e)) (/ 216 (* e (pow v 4))))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 e (*.f64 v v))) (-.f64 (/.f64 #s(literal -6 binary64) e) (/.f64 #s(literal 216 binary64) (*.f64 e (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 v (*.f64 v v)))
(/ (- (+ (* 1296 (/ 1 (* e (pow v 6)))) (/ 36 (* e (pow v 2)))) (+ (* 6 (/ 1 e)) (* 216 (/ 1 (* e (pow v 4)))))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 e (*.f64 v v))) (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 e (pow.f64 v #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -6 binary64) e) (/.f64 #s(literal 216 binary64) (*.f64 e (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 v (*.f64 v v)))
(/ -6 (* e (pow v 3)))
(/.f64 #s(literal -6 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(* -1 (/ (- (* 6 (/ 1 e)) (* 36 (/ 1 (* e (pow v 2))))) (pow v 3)))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 e (*.f64 v v))) (/.f64 #s(literal -6 binary64) e)) (*.f64 v (*.f64 v v)))
(* -1 (/ (- (+ (* 6 (/ 1 e)) (/ 216 (* e (pow v 4)))) (/ 36 (* e (pow v 2)))) (pow v 3)))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 e (*.f64 v v))) (-.f64 (/.f64 #s(literal -6 binary64) e) (/.f64 #s(literal 216 binary64) (*.f64 e (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 v (*.f64 v v)))
(* -1 (/ (- (+ (* 6 (/ 1 e)) (* 216 (/ 1 (* e (pow v 4))))) (+ (* 1296 (/ 1 (* e (pow v 6)))) (/ 36 (* e (pow v 2))))) (pow v 3)))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 e (*.f64 v v))) (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 e (pow.f64 v #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -6 binary64) e) (/.f64 #s(literal 216 binary64) (*.f64 e (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 v (*.f64 v v)))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ 1 (* e (* v (- (* -1/6 (pow v 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/.f64 #s(literal -1 binary64) (*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) v)))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/.f64 #s(literal -1 binary64) (*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) v)))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/.f64 #s(literal -1 binary64) (*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) v)))
(/ -1 (* e (* v (+ 1 (* 1/6 (pow v 2))))))
(/.f64 #s(literal -1 binary64) (*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) v)))

eval192.0ms (2%)

Memory
36.8MiB live, 378.8MiB allocated
Compiler

Compiled 57 702 to 2 972 computations (94.8% saved)

prune212.0ms (2.2%)

Memory
-48.4MiB live, 374.8MiB allocated
Pruning

38 alts after pruning (27 fresh and 11 done)

PrunedKeptTotal
New1 55491 563
Fresh51823
Picked145
Done077
Total1 560381 598
Accuracy
100.0%
Counts
1 598 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
57.6%
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
80.3%
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 2 binary64))
28.6%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))))
57.2%
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
69.7%
(/.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
✓58.1%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
98.0%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
58.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
58.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
57.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
58.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
✓97.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
56.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
97.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
2.5%
(-.f64 v (/.f64 v e))
✓57.6%
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
98.0%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
57.0%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 v e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
58.2%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
✓99.0%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
32.4%
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
9.4%
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
57.6%
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
57.8%
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
74.4%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓99.0%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
10.4%
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
✓58.0%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
✓57.3%
(*.f64 v e)
✓58.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
58.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
32.4%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
✓98.2%
(*.f64 e (sin.f64 v))
✓5.0%
v
Compiler

Compiled 1 457 to 564 computations (61.3% saved)

regimes55.0ms (0.6%)

Memory
20.1MiB live, 59.0MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) 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 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (*.f64 (*.f64 v (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) v) v)) e) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (*.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)) (+.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))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) (sin.f64 v)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (*.f64 e (-.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:

23.0ms
e
15.0ms
v
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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)

regimes42.0ms (0.4%)

Memory
-13.3MiB live, 64.8MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) 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 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (*.f64 (*.f64 v (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) v) v)) e) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
Outputs
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Calls

3 calls:

15.0ms
e
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
Results
AccuracySegmentsBranch
99.0%1e
99.0%1v
99.0%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)

regimes39.0ms (0.4%)

Memory
23.4MiB live, 62.1MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) 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 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (*.f64 (*.f64 v (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) v) v)) e) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.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)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
e
12.0ms
v
Results
AccuracySegmentsBranch
98.2%1e
98.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.2%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes34.0ms (0.4%)

Memory
-9.5MiB live, 67.1MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) 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 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (*.f64 (*.f64 v (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) v) v)) e) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Calls

3 calls:

11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
e
10.0ms
v
Results
AccuracySegmentsBranch
59.3%1e
59.3%1v
59.3%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)

regimes33.0ms (0.4%)

Memory
16.8MiB live, 59.7MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) 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 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (*.f64 (*.f64 v (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) v) v)) e) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 v e))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
Calls

3 calls:

12.0ms
v
10.0ms
e
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
59.0%1e
59.0%1v
59.0%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 (0.3%)

Memory
-30.1MiB live, 47.7MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
Calls

3 calls:

9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
9.0ms
v
9.0ms
e
Results
AccuracySegmentsBranch
60.1%2v
58.4%1e
58.4%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)

regimes26.0ms (0.3%)

Memory
8.0MiB live, 47.2MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal -1 binary64)) (*.f64 e v)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 e (*.f64 e (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (neg.f64 e)))))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
Calls

3 calls:

9.0ms
e
8.0ms
v
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
58.2%1e
58.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
59.8%2v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory
-0.5MiB live, 41.3MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) e)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 e (fma.f64 (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v v))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v v)) e) (*.f64 e v))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
Calls

2 calls:

8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
8.0ms
v
Results
AccuracySegmentsBranch
58.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
58.2%1v
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(-.f64 v (/.f64 v e))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

3.0ms
e
3.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
57.8%1e
57.8%1v
57.8%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)

regimes7.0ms (0.1%)

Memory
-25.7MiB live, 13.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
Outputs
(*.f64 e v)
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
57.3%1e
57.3%1v
57.3%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)

regimes4.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
v
Outputs
v
Calls

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
5.0%1e
5.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
5.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch15.0ms (0.2%)

Memory
-13.0MiB live, 25.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.7451853244347873e-14
8.469219662538682e-10
Samples
9.0ms128×0valid
Compiler

Compiled 272 to 174 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (18.7% of total)
ival-add: 1.0ms (18.7% of total)
ival-cos: 1.0ms (18.7% of total)
ival-mult: 1.0ms (18.7% of total)
ival-sin: 1.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.7451853244347873e-14
8.469219662538682e-10
Samples
8.0ms128×0valid
Compiler

Compiled 232 to 158 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (18.9% of total)
ival-add: 1.0ms (18.9% of total)
ival-cos: 1.0ms (18.9% of total)
ival-mult: 1.0ms (18.9% of total)
ival-sin: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Memory
-10.5MiB live, 27.7MiB allocated
Algorithm
1×egg-herbie
Rules
84×unsub-neg_binary64
76×neg-mul-1_binary64
44×*-commutative_binary64
40×+-commutative_binary64
32×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057155
186155
2111155
3136155
4155155
5168155
6176155
7183155
8234155
9321155
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 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 e (sin.f64 v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(if (<=.f64 v #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v)))
(if (<=.f64 v #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v
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 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -7/360 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 1/12 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(if (<=.f64 v #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v)))
(if (<=.f64 v #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v)))
(if (<=.f64 v #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v)))
(if (<=.f64 v #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e v)
(*.f64 v e)
v

soundness1.3s (13.4%)

Memory
-4.1MiB live, 967.0MiB allocated
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
12 612×accelerator-lowering-fma.f32
12 612×accelerator-lowering-fma.f64
11 700×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
02832966
18632927
226042813
363542754
082522576
0929
13629
223529
3209329
0835227
04153708
113363552
241533404
086773231
02092
110992
274690
3752290
0855385
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 354 to 191 computations (46% saved)

preprocess91.0ms (1%)

Memory
13.5MiB live, 172.1MiB allocated
Remove

(negabs v)

Compiler

Compiled 508 to 248 computations (51.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...