Trigonometry A

Time bar (total: 8.6s)

analyze7.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB 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)

sample1.1s (12.8%)

Memory
22.2MiB live, 1 509.6MiB allocated
Samples
826.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-sin: 224.0ms (34.9% of total)
ival-cos: 157.0ms (24.5% of total)
ival-mult: 103.0ms (16% of total)
ival-div: 53.0ms (8.3% of total)
ival-<=: 42.0ms (6.5% of total)
ival-add: 37.0ms (5.8% of total)
ival-and: 11.0ms (1.7% of total)
exact: 11.0ms (1.7% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess71.0ms (0.8%)

Memory
13.2MiB live, 52.6MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563
16457
215255
340255
4100055
5154855
6172355
7187455
8203055
9244555
10254055
11260155
12265355
13265855
0911
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)))
Symmetry

(negabs v)

explain115.0ms (1.3%)

Memory
22.7MiB live, 182.9MiB 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
49.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-cos: 11.0ms (32.9% of total)
ival-sin: 10.0ms (29.9% of total)
ival-mult: 6.0ms (18% of total)
ival-div: 3.0ms (9% of total)
ival-add: 2.0ms (6% 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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.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
-34.9MiB live, 5.3MiB 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)

localize35.0ms (0.4%)

Memory
18.8MiB live, 57.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
25.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 5.0ms (29% of total)
ival-cos: 4.0ms (23.2% of total)
ival-mult: 4.0ms (23.2% of total)
ival-div: 1.0ms (5.8% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB 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
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))
1.0ms
e
@0
(+ 1 (* e (cos v)))

rewrite379.0ms (4.4%)

Memory
-6.6MiB live, 501.9MiB 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))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (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 (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)))) (neg.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (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)))) (*.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)))))
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(*.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))

simplify389.0ms (4.5%)

Memory
-2.3MiB live, 584.9MiB 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)

eval55.0ms (0.6%)

Memory
32.9MiB live, 107.5MiB allocated
Compiler

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

prune58.0ms (0.7%)

Memory
3.8MiB live, 120.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New45512467
Fresh000
Picked101
Done000
Total45612468
Accuracy
100.0%
Counts
468 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(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))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶55.7%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
99.8%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶99.9%
(*.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)))
99.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
▶99.1%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
55.3%
(*.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))))
▶98.1%
(*.f64 e (sin.f64 v))
Compiler

Compiled 358 to 224 computations (37.4% saved)

simplify536.0ms (6.2%)

Memory
-15.0MiB live, 556.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.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)))
✓cost-diff0
(*.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)))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
Rules
16 244×accelerator-lowering-fma.f32
16 244×accelerator-lowering-fma.f64
3 074×*-lowering-*.f32
3 074×*-lowering-*.f64
1 764×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030191
181191
2201189
3478189
4851189
51201189
62459189
73932189
85242189
95882189
106365189
116596189
126765189
136982189
147078189
157145189
167335189
177433189
187435189
197437189
207441189
217441189
08047177
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)) (+ (* e (cos v)) -1))
(/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1))
(* e (sin v))
e
(sin v)
v
(+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)
(* e e)
(+ 1/2 (* 1/2 (cos (+ v v))))
1/2
(* 1/2 (cos (+ v v)))
(cos (+ v v))
(+ v v)
-1
(+ (* e (cos v)) -1)
(cos v)
(/ (* 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)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
e
(/ (+ (* e (cos v)) 1) (sin v))
(+ (* e (cos v)) 1)
(cos v)
v
1
(sin v)
Outputs
(* (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)) (+ (* e (cos v)) -1))
(/.f64 (*.f64 e (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)
(fma.f64 (*.f64 e e) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* e e)
(*.f64 e e)
(+ 1/2 (* 1/2 (cos (+ v v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ v v)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))
(cos (+ v v))
(cos.f64 (+.f64 v v))
(+ v v)
(+.f64 v v)
-1
#s(literal -1 binary64)
(+ (* e (cos v)) -1)
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(cos v)
(cos.f64 v)
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* e v)
(*.f64 e v)
e
v
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
(*.f64 e (neg.f64 (*.f64 (sin.f64 v) (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)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/ (+ (* e (cos v)) 1) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
v
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)

localize101.0ms (1.2%)

Memory
-7.3MiB live, 149.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.8%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.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%
(/.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)))
✓accuracy100.0%
(*.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)))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
Samples
65.0ms256×0valid
Compiler

Compiled 183 to 32 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.4% of total)
ival-cos: 10.0ms (21.6% of total)
ival-add: 8.0ms (17.3% of total)
ival-div: 6.0ms (13% of total)
ival-sin: 6.0ms (13% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-9.9MiB live, 27.5MiB allocated
Counts
15 → 300
Calls
Call 1
Inputs
#<alt (+ 1/2 (* 1/2 (cos (+ v v))))>
#<alt (* (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)) (+ (* e (cos v)) -1))>
#<alt (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1))>
#<alt (* e (sin v))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (+ 1 e)>
#<alt (sin v)>
#<alt (* (sin v) (+ (* (cos v) (* e (neg e))) e))>
#<alt (+ (* (cos v) (* e (neg e))) e)>
#<alt (cos v)>
#<alt (/ e (/ (+ (* e (cos v)) 1) (sin v)))>
#<alt (/ (+ (* e (cos v)) 1) (sin v))>
#<alt (+ (* e (cos v)) 1)>
#<alt (neg e)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (* -1 (* e (sin v)))>
#<alt (* e (+ (* -1 (sin v)) (* -1 (* (pow e 2) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))>
#<alt (* e (+ (* -1 (sin v)) (* (pow e 2) (- (* -1 (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))>
#<alt (* e (+ (* -1 (sin v)) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))>
#<alt (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (/ (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)>
#<alt (/ (- (+ (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))))) e)>
#<alt (/ (- (+ (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))))) e)>
#<alt (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))) e))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* -1/5040 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (pow e 3) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1)))))))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<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 (* 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 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 (* v (+ e (* -1 (pow e 2))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (+ e (* -1 (pow e 2)))>
#<alt (+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<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 (* -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

75 calls:

TimeVariablePointExpression
3.0ms
e
@inf
(/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1))
2.0ms
v
@0
(* (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)) (+ (* e (cos v)) -1))
2.0ms
v
@inf
(* (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)) (+ (* e (cos v)) -1))
2.0ms
v
@0
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
2.0ms
v
@0
(+ 1/2 (* 1/2 (cos (+ v v))))

rewrite108.0ms (1.3%)

Memory
4.6MiB live, 132.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
920×*-lowering-*.f32
920×*-lowering-*.f64
828×accelerator-lowering-fma.f32
828×accelerator-lowering-fma.f64
702×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030138
118598
0157192
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
15 → 314
Calls
Call 1
Inputs
(+ 1/2 (* 1/2 (cos (+ v v))))
(* (/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1)) (+ (* e (cos v)) -1))
(/ (* e (sin v)) (+ (* (* e e) (+ 1/2 (* 1/2 (cos (+ v v))))) -1))
(* e (sin v))
(/ (* e v) (+ 1 e))
(* e v)
(+ 1 e)
(sin v)
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
(+ (* (cos v) (* e (neg e))) e)
(cos v)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
(/ (+ (* e (cos v)) 1) (sin v))
(+ (* e (cos v)) 1)
(neg e)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 v v)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v)))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 v v)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 v v)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 v v))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v)))))
(/.f64 (+.f64 (cos.f64 (+.f64 v v)) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 v v)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64)))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(*.f64 (cos.f64 v) (cos.f64 v))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 v v)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))))
(*.f64 (+.f64 (cos.f64 (+.f64 v v)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) (/.f64 e (/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))))
(fma.f64 e (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 e (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 e (*.f64 (cos.f64 v) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (sin.f64 v)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (sin.f64 v)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (cos.f64 v) (*.f64 e (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (neg.f64 (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 e (cos.f64 v)) e) (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 e (cos.f64 v)) (*.f64 e (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) e) (cos.f64 v) (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (cos.f64 v)) e (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(neg.f64 (/.f64 e (/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))))
(neg.f64 (/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
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(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
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(-.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(fma.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
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(+.f64 #s(literal 0 binary64) (neg.f64 e))
(-.f64 #s(literal 0 binary64) e)
(neg.f64 e)
(/.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e))))
(*.f64 e #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) e)

simplify352.0ms (4.1%)

Memory
0.5MiB live, 467.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 092×accelerator-lowering-fma.f32
10 092×accelerator-lowering-fma.f64
6 456×*-lowering-*.f32
6 456×*-lowering-*.f64
3 198×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06014665
119064502
259424483
082814116
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(* -1 (* e (sin v)))
(* e (+ (* -1 (sin v)) (* -1 (* (pow e 2) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* -1 (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))
(/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))
(/ (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)
(/ (- (+ (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))))) e)
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))))) e)
(/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))) e))
(/ (* e v) (- (pow e 2) 1))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* -1/5040 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (pow e 3) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1)))))))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (sin v)) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(* 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))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* 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)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
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)
(* v (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* 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)))))))))))))
(* 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))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* 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 (* -1 (pow e 2)))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(+ 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)))))))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 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)
(* 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))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 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
(+ 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)))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(*.f64 e (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (neg.f64 (sin.f64 v)))) (sin.f64 v)))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 v)) (*.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 v) (neg.f64 (sin.f64 v)))) (sin.f64 v)))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
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(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 v) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64)) e)))
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(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
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(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
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(neg.f64 e)

eval79.0ms (0.9%)

Memory
20.2MiB live, 131.8MiB allocated
Compiler

Compiled 15 367 to 1 185 computations (92.3% saved)

prune73.0ms (0.8%)

Memory
14.8MiB live, 104.9MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New68718705
Fresh347
Picked235
Done000
Total69225717
Accuracy
100.0%
Counts
717 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 (*.f64 e (neg.f64 e)) (*.f64 e (neg.f64 e))) (*.f64 e (neg.f64 e))) (sin.f64 v)) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) (neg.f64 e)))
▶99.9%
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓55.7%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
56.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
56.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) v))
55.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
▶97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
55.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
99.8%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
99.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
71.5%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓99.1%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
98.6%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
54.4%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
55.7%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
55.3%
(*.f64 v (-.f64 e (*.f64 e e)))
54.8%
(*.f64 v e)
▶54.3%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
▶54.3%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
55.7%
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
✓98.1%
(*.f64 e (sin.f64 v))
▶4.6%
v
Compiler

Compiled 664 to 384 computations (42.2% saved)

simplify318.0ms (3.7%)

Memory
-0.8MiB live, 376.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓cost-diff1088
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓cost-diff0
(*.f64 v #s(literal 1/120 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
✓cost-diff0
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓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
(*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
Rules
8 080×accelerator-lowering-fma.f32
8 080×accelerator-lowering-fma.f64
3 994×*-lowering-*.f32
3 994×*-lowering-*.f64
1 520×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035182
190180
2208180
3526180
41134180
51786180
62188180
72919180
84435180
96322180
107655180
08069164
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (sin v) (* e (+ (* e (cos v)) -1))) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1))
(* (sin v) (* e (+ (* e (cos v)) -1)))
(sin v)
v
(* e (+ (* e (cos v)) -1))
e
(+ (* e (cos v)) -1)
(cos v)
-1
(+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)
(+ (* 1/2 (cos (+ v v))) 1/2)
1/2
(cos (+ v v))
(+ v v)
(* e e)
v
(* e (+ (* v (* (* v v) -1/6)) v))
e
(+ (* v (* (* v v) -1/6)) v)
v
(* (* v v) -1/6)
(* v v)
-1/6
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))
e
(+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v)
(+ (* v (* v 1/120)) -1/6)
v
(* v 1/120)
1/120
-1/6
(* v (* v v))
(* v v)
(/ e (/ 1 (sin v)))
e
(/ 1 (sin v))
1
(sin v)
v
Outputs
(/ (* (sin v) (* e (+ (* e (cos v)) -1))) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1))
(/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(* (sin v) (* e (+ (* e (cos v)) -1)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))
(sin v)
(sin.f64 v)
v
(* e (+ (* e (cos v)) -1))
(*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
e
(+ (* e (cos v)) -1)
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(cos v)
(cos.f64 v)
-1
#s(literal -1 binary64)
(+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))
(+ (* 1/2 (cos (+ v v))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (+ v v))
(cos.f64 (+.f64 v v))
(+ v v)
(+.f64 v v)
(* e e)
(*.f64 e e)
v
(* e (+ (* v (* (* v v) -1/6)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) 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)
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
e
(+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v)
(fma.f64 (*.f64 v v) (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) v)
(+ (* v (* v 1/120)) -1/6)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
v
(* v 1/120)
(*.f64 v #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* v (* v v))
(*.f64 v (*.f64 v v))
(* v v)
(*.f64 v v)
(/ e (/ 1 (sin v)))
(*.f64 (sin.f64 v) e)
e
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
v

localize137.0ms (1.6%)

Memory
1.2MiB live, 213.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.8%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓accuracy99.9%
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓accuracy99.9%
(*.f64 v #s(literal 1/120 binary64))
✓accuracy99.9%
(*.f64 v (*.f64 v v))
✓accuracy96.3%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓accuracy90.0%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
✓accuracy100.0%
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
Samples
101.0ms256×0valid
Compiler

Compiled 178 to 37 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 24.0ms (34.3% of total)
ival-add: 17.0ms (24.3% of total)
ival-cos: 12.0ms (17.2% of total)
ival-sin: 6.0ms (8.6% of total)
const: 6.0ms (8.6% of total)
ival-div: 5.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
5.5MiB live, 42.8MiB allocated
Counts
16 → 264
Calls
Call 1
Inputs
#<alt (/ (* (sin v) (* e (+ (* e (cos v)) -1))) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1))>
#<alt (* (sin v) (* e (+ (* e (cos v)) -1)))>
#<alt (sin v)>
#<alt (* e (+ (* 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 (* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))>
#<alt (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v)>
#<alt (+ (* v (* v 1/120)) -1/6)>
#<alt (* v 1/120)>
#<alt (/ e (/ 1 (sin v)))>
#<alt (/ 1 (sin v))>
#<alt (+ (* 1/2 (cos (+ v v))) 1/2)>
#<alt (* v (* v v))>
Outputs
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (* e (* v (- e 1)))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/2 e) (* -1/6 (- e 1))))) (* e (- e 1))))>
#<alt (* v (+ (* e (- e 1)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e))))) (* e (+ (* -1/2 e) (* -1/6 (- e 1))))))))>
#<alt (* v (+ (* e (- e 1)) (* (pow v 2) (+ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1))))))) (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e))))))))))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* e (* (sin v) (- (* e (cos v)) 1)))>
#<alt (* -1 (* e (sin v)))>
#<alt (* e (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))))>
#<alt (* e (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))))>
#<alt (* e (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))))>
#<alt (* (pow e 2) (* (cos v) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (* (cos v) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (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 (* -1 e)>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* (pow e 2) (cos v))>
#<alt (* (pow e 2) (- (cos v) (/ 1 e)))>
#<alt (* (pow e 2) (- (cos v) (/ 1 e)))>
#<alt (* (pow e 2) (- (cos v) (/ 1 e)))>
#<alt (* (pow e 2) (cos v))>
#<alt (* (pow e 2) (- (cos v) (/ 1 e)))>
#<alt (* (pow e 2) (- (cos v) (/ 1 e)))>
#<alt (* (pow e 2) (- (cos v) (/ 1 e)))>
#<alt (* e (- e 1))>
#<alt (+ (* -1/2 (* (pow e 2) (pow v 2))) (* e (- e 1)))>
#<alt (+ (* e (- e 1)) (* (pow v 2) (+ (* -1/2 (pow e 2)) (* 1/24 (* (pow e 2) (pow v 2))))))>
#<alt (+ (* e (- e 1)) (* (pow v 2) (+ (* -1/2 (pow e 2)) (* (pow v 2) (+ (* -1/720 (* (pow e 2) (pow v 2))) (* 1/24 (pow e 2)))))))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (cos v)) 1))>
#<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 (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<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 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) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))>
#<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)))))>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 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 (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
Calls

66 calls:

TimeVariablePointExpression
11.0ms
v
@0
(* e (+ (* v (* (* v v) -1/6)) v))
1.0ms
e
@0
(* e (+ (* v (* (* v v) -1/6)) v))
1.0ms
e
@0
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))
1.0ms
v
@inf
(* e (+ (* v (* (* v v) -1/6)) v))
1.0ms
v
@-inf
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))

rewrite104.0ms (1.2%)

Memory
-22.3MiB live, 131.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
964×accelerator-lowering-fma.f32
964×accelerator-lowering-fma.f64
898×*-lowering-*.f32
898×*-lowering-*.f64
530×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035130
1192118
01434108
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
16 → 225
Calls
Call 1
Inputs
(/ (* (sin v) (* e (+ (* e (cos v)) -1))) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1))
(* (sin v) (* e (+ (* e (cos v)) -1)))
(sin v)
(* e (+ (* e (cos v)) -1))
(* e (+ (* v (* (* v v) -1/6)) v))
(+ (* v (* (* v v) -1/6)) v)
(* (* v v) -1/6)
(* v v)
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))
(+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v)
(+ (* v (* v 1/120)) -1/6)
(* v 1/120)
(/ e (/ 1 (sin v)))
(/ 1 (sin v))
(+ (* 1/2 (cos (+ v v))) 1/2)
(* v (* v v))
Outputs
(neg.f64 (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (*.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 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))
(*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #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) e) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e)) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))) (neg.f64 e))))
(*.f64 (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (neg.f64 e)))
(+.f64 (*.f64 (*.f64 (sin.f64 v) e) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 v) e) (*.f64 e (cos.f64 v))))
(+.f64 (*.f64 (*.f64 (cos.f64 v) (*.f64 e e)) (sin.f64 v)) (*.f64 (neg.f64 e) (sin.f64 v)))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (*.f64 (sin.f64 v) e)) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (*.f64 (*.f64 e (cos.f64 v)) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) (neg.f64 e)))
(fma.f64 (*.f64 e (cos.f64 v)) (*.f64 (sin.f64 v) e) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e) (*.f64 (*.f64 e (cos.f64 v)) (*.f64 (sin.f64 v) e)))
(fma.f64 (*.f64 (cos.f64 v) (*.f64 e e)) (sin.f64 v) (*.f64 (neg.f64 e) (sin.f64 v)))
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(*.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64) #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))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
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(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (+.f64 v v)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(pow.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)))

simplify481.0ms (5.6%)

Memory
29.0MiB live, 675.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 982×accelerator-lowering-fma.f32
13 982×accelerator-lowering-fma.f64
5 720×*-lowering-*.f32
5 720×*-lowering-*.f64
4 412×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03423223
110903157
236763035
082602774
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(* e (sin v))
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(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
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(* e (* (sin v) (- (* e (cos v)) 1)))
(* e (* (sin v) (- (* e (cos v)) 1)))
(* e (* (sin v) (- (* e (cos v)) 1)))
(* e (* (sin v) (- (* e (cos v)) 1)))
(* e (* (sin v) (- (* e (cos v)) 1)))
(* -1 (* e (sin v)))
(* e (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))))
(* e (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))))
(* e (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))))
(* (pow e 2) (* (cos v) (sin v)))
(* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))
(* (pow e 2) (* (cos v) (sin v)))
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(* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (/ (sin v) e)) (* (cos v) (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)
(* -1 e)
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* (pow e 2) (cos v))
(* (pow e 2) (- (cos v) (/ 1 e)))
(* (pow e 2) (- (cos v) (/ 1 e)))
(* (pow e 2) (- (cos v) (/ 1 e)))
(* (pow e 2) (cos v))
(* (pow e 2) (- (cos v) (/ 1 e)))
(* (pow e 2) (- (cos v) (/ 1 e)))
(* (pow e 2) (- (cos v) (/ 1 e)))
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(+ (* e (- e 1)) (* (pow v 2) (+ (* -1/2 (pow e 2)) (* (pow v 2) (+ (* -1/720 (* (pow e 2) (pow v 2))) (* 1/24 (pow e 2)))))))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (- (* e (cos v)) 1))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
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(* e (+ v (* -1/6 (pow v 3))))
(* e v)
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(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
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(* -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))
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(* -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)
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(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
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(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
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(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
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-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)))))
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 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))
(/ 1 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(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)
Outputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (*.f64 e (-.f64 (*.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 e e) (/.f64 (+.f64 e #s(literal -1 binary64)) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e e #s(literal -1 binary64))))) (/.f64 (-.f64 (*.f64 e e) e) (fma.f64 e e #s(literal -1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(*.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 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.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))
(* 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 (*.f64 v 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))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(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))

eval69.0ms (0.8%)

Memory
-20.1MiB live, 134.1MiB allocated
Compiler

Compiled 11 077 to 967 computations (91.3% saved)

prune113.0ms (1.3%)

Memory
-4.0MiB live, 119.2MiB allocated
Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New51711528
Fresh41317
Picked055
Done033
Total52132553
Accuracy
100.0%
Counts
553 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
54.3%
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
66.3%
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 (*.f64 e (neg.f64 e)) (*.f64 e (neg.f64 e))) (*.f64 e (neg.f64 e))) (sin.f64 v)) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) (neg.f64 e)))
✓99.9%
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓55.7%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
55.9%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
55.9%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
✓97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
54.7%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
73.4%
(/.f64 e (*.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
▶55.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
▶97.5%
(/.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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶99.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
71.5%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓99.1%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
98.6%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
54.4%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
55.7%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
55.3%
(*.f64 v (-.f64 e (*.f64 e e)))
33.2%
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
▶54.8%
(*.f64 v e)
✓54.3%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
▶54.3%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
✓54.3%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
55.7%
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
49.3%
(*.f64 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
33.2%
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
✓98.1%
(*.f64 e (sin.f64 v))
✓4.6%
v
Compiler

Compiled 739 to 430 computations (41.8% saved)

simplify264.0ms (3.1%)

Memory
-12.9MiB live, 232.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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 e)
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
✓cost-diff0
(*.f64 v #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)
✓cost-diff0
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
✓cost-diff0
(*.f64 v 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
4 948×*-lowering-*.f32
4 948×*-lowering-*.f64
2 210×associate-/r/
2 136×/-lowering-/.f32
2 136×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022111
152111
2106105
3199105
4403105
5565105
6818103
71007103
81443103
92628103
102969103
113075103
123089103
133092103
143092103
153778103
163909103
174104103
185419103
195469103
205509103
215924103
225969103
236016103
246064103
256784103
267015103
277161103
287333103
297559103
307859103
0809199
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
(* v e)
v
e
(* e (+ (* (* v v) (* v -1/6)) v))
e
(+ (* (* v v) (* v -1/6)) v)
(* v v)
v
(* v -1/6)
-1/6
(/ 1 (/ (+ e 1) (* v e)))
1
(/ (+ e 1) (* v e))
(+ e 1)
e
(* v e)
v
(/ 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) (+ (* 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)
(* v e)
(*.f64 v e)
v
e
(* e (+ (* (* v v) (* v -1/6)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
e
(+ (* (* v v) (* v -1/6)) v)
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
(* v v)
(*.f64 v v)
v
(* v -1/6)
(*.f64 v #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ 1 (/ (+ e 1) (* v e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(/ (+ e 1) (* v e))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))
(+ e 1)
(+.f64 e #s(literal 1 binary64))
e
(* v e)
(*.f64 v e)
v
(/ 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

localize80.0ms (0.9%)

Memory
35.0MiB live, 115.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 (sin.f64 v) e)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 v e)
✓accuracy99.7%
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)
✓accuracy99.5%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy90.0%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
✓accuracy100.0%
(*.f64 v 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)))
✓accuracy99.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Samples
52.0ms256×0valid
Compiler

Compiled 112 to 24 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 11.0ms (30.4% of total)
ival-div: 7.0ms (19.4% of total)
ival-sin: 6.0ms (16.6% of total)
ival-cos: 4.0ms (11.1% of total)
const: 4.0ms (11.1% of total)
ival-add: 3.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-20.5MiB live, 18.4MiB allocated
Counts
16 → 312
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 (* v e)>
#<alt (* e (+ (* (* v v) (* v -1/6)) v))>
#<alt (+ (* (* v v) (* v -1/6)) v)>
#<alt (* v v)>
#<alt (* v -1/6)>
#<alt (/ 1 (/ (+ e 1) (* v e)))>
#<alt (/ (+ e 1) (* v e))>
#<alt (+ e 1)>
#<alt (/ 1 (/ 1 (* (sin v) e)))>
#<alt (/ 1 (* (sin v) e))>
#<alt (* (sin v) e)>
#<alt (cos v)>
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)>
#<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 (* -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 (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 (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 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 (/ 1 (* e v))>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* 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 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)>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(/ (sin v) (+ (* e (cos v)) 1))
1.0ms
v
@0
(/ (sin v) (+ (* e (cos v)) 1))
1.0ms
v
@-inf
(/ (sin v) (+ (* e (cos v)) 1))
0.0ms
e
@-inf
(/ (+ e 1) (* v e))
0.0ms
v
@-inf
(/ 1 (* (sin v) e))

rewrite421.0ms (4.9%)

Memory
1.6MiB live, 548.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 220×accelerator-lowering-fma.f32
6 220×accelerator-lowering-fma.f64
5 458×*-lowering-*.f32
5 458×*-lowering-*.f64
3 854×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292
112286
281986
3793386
0896181
Stop Event
1×iter limit
1×node limit
Counts
16 → 967
Calls
Call 1
Inputs
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(/ (sin v) (+ (* e (cos v)) 1))
(sin v)
(+ (* e (cos v)) 1)
(* v e)
(* e (+ (* (* v v) (* v -1/6)) v))
(+ (* (* v v) (* v -1/6)) v)
(* v v)
(* v -1/6)
(/ 1 (/ (+ e 1) (* v e)))
(/ (+ e 1) (* v e))
(+ e 1)
(/ 1 (/ 1 (* (sin v) e)))
(/ 1 (* (sin v) e))
(* (sin v) e)
(cos v)
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)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
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(*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (fma.f64 e e (+.f64 e #s(literal 1 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(neg.f64 (neg.f64 (*.f64 (sin.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
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(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
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(pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64))
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(*.f64 (sin.f64 v) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
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(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
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(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
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(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(*.f64 (/.f64 e #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 e)) (sin.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (neg.f64 e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (neg.f64 e))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 v) e))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 v) e))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 (neg.f64 e)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal -1 binary64) (neg.f64 e)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (neg.f64 e))
(/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v)))
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(/.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (sin.f64 v)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (neg.f64 e))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 #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) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(neg.f64 (neg.f64 (*.f64 (sin.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(*.f64 (/.f64 e #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 e)) (sin.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (neg.f64 e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (neg.f64 e))
(cos.f64 v)
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 v))

simplify618.0ms (7.2%)

Memory
21.4MiB live, 780.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 030×accelerator-lowering-fma.f32
13 030×accelerator-lowering-fma.f64
6 438×*-lowering-*.f32
6 438×*-lowering-*.f64
4 430×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03442877
110572813
231272754
081562611
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)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* 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))))
(* 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))))
(/ (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))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -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)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -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))
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)
(* 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 (* -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)))))
(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)
(* -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)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e 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)
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 v (*.f64 v (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 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))) (* (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) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.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 (neg.f64 (*.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #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 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ v (+ 1 e))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* 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))))
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(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/ 1 (* e v))
(/.f64 #s(literal 1 binary64) (*.f64 e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v)) e)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e v)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e v)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e v)) (/.f64 #s(literal 1 binary64) v))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e v)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e v)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e v)) (/.f64 #s(literal 1 binary64) v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.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))
(* 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 (*.f64 v 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))
(* 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))
(/ 1 (* e v))
(/.f64 #s(literal 1 binary64) (*.f64 e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (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 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) 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)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) e)) v)
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.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))
(* 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 (*.f64 v 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))
(* 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))
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 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v 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)

eval157.0ms (1.8%)

Memory
27.5MiB live, 372.0MiB allocated
Compiler

Compiled 25 434 to 2 912 computations (88.6% saved)

prune174.0ms (2%)

Memory
-37.7MiB live, 345.9MiB allocated
Pruning

40 alts after pruning (28 fresh and 12 done)

PrunedKeptTotal
New1 338141 352
Fresh51419
Picked145
Done088
Total1 344401 384
Accuracy
100.0%
Counts
1 384 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
54.4%
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
54.4%
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
73.4%
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓99.9%
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓55.7%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
97.9%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
55.9%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
55.9%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
✓97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
54.7%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
73.4%
(/.f64 e (*.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
97.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
55.3%
(/.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))
✓97.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
55.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
55.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
2.5%
(-.f64 v (/.f64 v e))
✓99.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
55.7%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
55.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
71.5%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓99.1%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
98.6%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
54.4%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
55.3%
(*.f64 v (-.f64 e (*.f64 e e)))
33.2%
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
✓54.8%
(*.f64 v e)
✓54.3%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓54.3%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
✓54.3%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
55.7%
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
55.3%
(*.f64 e (-.f64 v (*.f64 e v)))
49.3%
(*.f64 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
33.2%
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
33.2%
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
✓98.1%
(*.f64 e (sin.f64 v))
✓4.6%
v
Compiler

Compiled 1 144 to 475 computations (58.5% saved)

regimes50.0ms (0.6%)

Memory
2.6MiB live, 80.1MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.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)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) 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 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (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 #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) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.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 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 (*.f64 e (neg.f64 e)) (*.f64 e (neg.f64 e))) (*.f64 e (neg.f64 e))) (sin.f64 v)) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) (neg.f64 e)))
(/.f64 e (*.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(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))
Outputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
Calls

3 calls:

16.0ms
e
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
v
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
99.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes88.0ms (1%)

Memory
-5.0MiB live, 75.2MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.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)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) 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 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (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 #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) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.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))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

56.0ms
e
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
v
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
99.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes54.0ms (0.6%)

Memory
-8.6MiB live, 68.1MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.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)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

26.0ms
v
13.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
99.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes39.0ms (0.5%)

Memory
36.7MiB live, 75.1MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.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)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Outputs
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Calls

3 calls:

13.0ms
v
12.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.1%1e
99.1%1v
99.1%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)

regimes44.0ms (0.5%)

Memory
-16.3MiB live, 71.1MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.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)) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

14.0ms
e
12.0ms
v
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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)

regimes35.0ms (0.4%)

Memory
0.2MiB live, 78.4MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Outputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Calls

3 calls:

12.0ms
v
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
e
Results
AccuracySegmentsBranch
98.6%1e
98.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.6%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes57.0ms (0.7%)

Memory
-25.1MiB live, 55.6MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

31.0ms
e
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
10.0ms
v
Results
AccuracySegmentsBranch
98.1%1e
98.1%1v
98.1%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)

regimes55.0ms (0.6%)

Memory
11.2MiB live, 50.3MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
Calls

3 calls:

33.0ms
e
10.0ms
v
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
56.8%1e
56.8%1v
56.8%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)

regimes59.0ms (0.7%)

Memory
9.8MiB live, 48.3MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) 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 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 e (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v))))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) v))
Calls

3 calls:

38.0ms
v
10.0ms
e
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
56.8%1e
56.8%1v
56.8%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)

regimes43.0ms (0.5%)

Memory
-20.2MiB live, 23.3MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
Calls

3 calls:

24.0ms
e
9.0ms
v
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
55.9%1e
55.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
55.9%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes28.0ms (0.3%)

Memory
23.3MiB live, 23.3MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
Calls

3 calls:

9.0ms
v
9.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
55.9%1e
55.9%1v
55.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.6%)

Memory
-14.4MiB live, 24.7MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(fma.f64 (*.f64 v v) (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/6 binary64) e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v e) (*.f64 v e))
(fma.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) v (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 v (*.f64 e v)) (neg.f64 v)) v))
(/.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 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (neg.f64 e))
Outputs
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

34.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
8.0ms
e
8.0ms
v
Results
AccuracySegmentsBranch
55.7%1e
55.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
55.7%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
55.3%1v
55.3%1e
55.3%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)

regimes5.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
Outputs
(*.f64 v e)
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
54.8%1v
54.8%1e
54.8%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)

regimes6.0ms (0.1%)

Memory
-29.3MiB live, 9.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
4.6%1e
4.6%1v
4.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify11.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
20×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066175
195175
2111175
3120175
4125175
5126175
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.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 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v e)
v
Outputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.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))))
(*.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 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v e)
v

soundness1.4s (16%)

Memory
16.2MiB live, 1 053.3MiB allocated
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
13 982×accelerator-lowering-fma.f32
13 982×accelerator-lowering-fma.f64
13 030×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06014665
119064502
259424483
082814116
01951209
15841194
216521162
349071089
080391013
03442877
110572813
231272754
081562611
0929
13629
223529
3209329
0835227
03423223
110903157
236763035
082602774
030138
118598
0157192
Stop Event
1×fuel
1×iter 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
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 408 to 218 computations (46.6% saved)

preprocess107.0ms (1.2%)

Memory
-8.8MiB live, 262.9MiB allocated
Remove

(negabs v)

Compiler

Compiled 830 to 414 computations (50.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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