Trigonometry A

Time bar (total: 9.1s)

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)

sample1.3s (13.7%)

Memory
22.2MiB live, 1 532.1MiB allocated
Samples
973.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 728.0ms
ival-cos: 257.0ms (35.3% of total)
ival-sin: 209.0ms (28.7% of total)
ival-mult: 103.0ms (14.2% of total)
ival-div: 49.0ms (6.7% of total)
ival-<=: 44.0ms (6% of total)
ival-add: 42.0ms (5.8% of total)
exact: 11.0ms (1.5% of total)
ival-and: 10.0ms (1.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess95.0ms (1%)

Memory
-24.6MiB live, 12.8MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

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

explain123.0ms (1.3%)

Memory
-10.2MiB live, 156.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
61.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 16.0ms (36.5% of total)
ival-sin: 11.0ms (25.1% of total)
ival-add: 6.0ms (13.7% of total)
ival-mult: 6.0ms (13.7% of total)
ival-div: 3.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize36.0ms (0.4%)

Memory
20.4MiB live, 59.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
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: 6.0ms (36.2% of total)
ival-cos: 5.0ms (30.2% of total)
ival-mult: 3.0ms (18.1% of total)
ival-div: 2.0ms (12.1% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-22.1MiB live, 16.3MiB 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)))

rewrite383.0ms (4.2%)

Memory
41.3MiB live, 468.8MiB 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))

simplify379.0ms (4.1%)

Memory
-4.1MiB live, 550.0MiB 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)

eval54.0ms (0.6%)

Memory
8.3MiB live, 124.6MiB allocated
Compiler

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

prune113.0ms (1.2%)

Memory
-43.8MiB live, 96.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New45512467
Fresh000
Picked101
Done000
Total45612468
Accuracy
99.9%
Counts
468 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(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))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶53.9%
(/.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)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
99.7%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
99.8%
(*.f64 (/.f64 (*.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)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
▶99.6%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
53.7%
(*.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))))
▶98.7%
(*.f64 e (sin.f64 v))
Compiler

Compiled 346 to 218 computations (37% saved)

simplify150.0ms (1.6%)

Memory
22.0MiB live, 101.5MiB 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
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Rules
1 544×accelerator-lowering-fma.f32
1 544×accelerator-lowering-fma.f64
1 112×*-lowering-*.f32
1 112×*-lowering-*.f64
756×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020122
147122
285120
3203120
4406120
5479120
6664120
7996120
81341120
91789120
102489120
113012120
123075120
133087120
143091120
153091120
163183120
173201120
183201120
03201114
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ e (+ (* e (cos v)) 1)) (sin v))
(/ e (+ (* e (cos v)) 1))
e
(+ (* e (cos v)) 1)
(cos v)
v
1
(sin 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 (+ (* 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))
(/.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)
v
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e 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 (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(sin v)
(sin.f64 v)
v
(+ (* (cos v) (* e (neg e))) e)
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(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)

localize79.0ms (0.9%)

Memory
-23.0MiB live, 133.3MiB 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))
✓accuracy99.7%
(/.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)
✓accuracy99.8%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Samples
50.0ms256×0valid
Compiler

Compiled 116 to 22 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 11.0ms (31.3% of total)
ival-div: 7.0ms (19.9% of total)
ival-cos: 7.0ms (19.9% of total)
ival-sin: 5.0ms (14.2% of total)
ival-add: 4.0ms (11.4% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
32.4MiB live, 32.4MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (* (/ e (+ (* e (cos v)) 1)) (sin v))>
#<alt (/ e (+ (* e (cos v)) 1))>
#<alt (+ (* e (cos v)) 1)>
#<alt (cos v)>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (+ 1 e)>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (* (sin v) (+ (* (cos v) (* e (neg e))) e))>
#<alt (+ (* (cos v) (* e (neg e))) e)>
#<alt (/ e (/ (+ (* e (cos v)) 1) (sin v)))>
#<alt (/ (+ (* e (cos v)) 1) (sin v))>
#<alt (neg e)>
Outputs
#<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>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (/ e (+ 1 e))>
#<alt (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos 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>
#<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 v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<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 (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
Calls

72 calls:

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

rewrite352.0ms (3.8%)

Memory
18.5MiB live, 446.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 578×accelerator-lowering-fma.f32
6 578×accelerator-lowering-fma.f64
5 034×*-lowering-*.f32
5 034×*-lowering-*.f64
3 680×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02089
110489
273187
3739187
0811382
Stop Event
1×iter limit
1×node limit
Counts
14 → 883
Calls
Call 1
Inputs
(* (/ e (+ (* e (cos v)) 1)) (sin v))
(/ e (+ (* e (cos v)) 1))
(+ (* e (cos v)) 1)
(cos v)
(/ (* e v) (+ 1 e))
(* e v)
(+ 1 e)
(* e (sin v))
(sin v)
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
(+ (* (cos v) (* e (neg e))) e)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
(/ (+ (* e (cos v)) 1) (sin v))
(neg e)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.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 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
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(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)))
(+.f64 (neg.f64 e) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 e))
(-.f64 #s(literal 0 binary64) e)
(-.f64 (/.f64 #s(literal 0 binary64) e) e)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (*.f64 e (*.f64 e e)) (*.f64 e e)))
(fma.f64 e #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 e (/.f64 (neg.f64 e) e) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) (/.f64 e e) #s(literal 0 binary64))
(fma.f64 (*.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) e #s(literal 0 binary64))
(fma.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 0 binary64))
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (*.f64 e (*.f64 e (neg.f64 e)))))
(/.f64 (*.f64 e (neg.f64 e)) e)
(/.f64 (*.f64 e e) (neg.f64 e))
(/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 e e))
(/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (*.f64 e (*.f64 e (neg.f64 e)))) (*.f64 e (neg.f64 e)))
(*.f64 e #s(literal -1 binary64))
(*.f64 e (/.f64 (neg.f64 e) e))
(*.f64 #s(literal 1 binary64) (neg.f64 e))
(*.f64 (neg.f64 e) #s(literal 1 binary64))
(*.f64 (neg.f64 e) (/.f64 e e))
(*.f64 (*.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))

simplify430.0ms (4.7%)

Memory
5.7MiB live, 557.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 048×accelerator-lowering-fma.f32
11 048×accelerator-lowering-fma.f64
6 624×*-lowering-*.f32
6 624×*-lowering-*.f64
3 536×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04173528
113093400
239763375
080713183
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 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
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(/ e (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
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
(+ 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 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)))
(* 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)
(* 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))))
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(+ 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)))
(* 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 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
Outputs
(* 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 (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(- (+ (* -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)))))
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(/ (sin v) (cos v))
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
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(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* 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))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(fma.f64 (*.f64 e e) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (cos.f64 v))) e)
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(fma.f64 (*.f64 e e) (fma.f64 e (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (neg.f64 (cos.f64 v))) e)
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
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(/ 1 (cos v))
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(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* 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 (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))) (/.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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 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 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 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))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 e (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.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 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 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)))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.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 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.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 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)

eval161.0ms (1.8%)

Memory
-5.3MiB live, 295.9MiB allocated
Compiler

Compiled 29 544 to 2 660 computations (91% saved)

prune150.0ms (1.6%)

Memory
-5.8MiB live, 327.5MiB allocated
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1 350261 376
Fresh437
Picked145
Done000
Total1 355331 388
Accuracy
100.0%
Counts
1 388 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) e)
42.0%
(/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) (*.f64 e e)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶70.6%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
54.0%
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓53.9%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
55.1%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #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))
55.1%
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
53.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.5%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
74.5%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
98.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
2.5%
(-.f64 v (/.f64 v e))
42.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))))) (sin.f64 v))
▶54.0%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
65.3%
(*.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e)))) (/.f64 #s(literal -1 binary64) (fma.f64 e (*.f64 e (cos.f64 v)) e)))
✓99.6%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
99.1%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
53.3%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
▶53.7%
(*.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))))
53.3%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
53.3%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
53.3%
(*.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))
53.2%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
98.5%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
53.9%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.7%
(*.f64 e (sin.f64 v))
53.5%
(*.f64 e v)
▶4.6%
v
Compiler

Compiled 1 008 to 578 computations (42.7% saved)

simplify256.0ms (2.8%)

Memory
2.4MiB live, 384.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e)
✓cost-diff0
(neg.f64 e)
✓cost-diff0
(*.f64 e (neg.f64 e))
✓cost-diff1280
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
✓cost-diff0
(*.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)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.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))))
✓cost-diff896
(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)))
✓cost-diff0
(fma.f64 e e #s(literal -1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
✓cost-diff704
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
✓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)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
9 668×accelerator-lowering-fma.f32
9 668×accelerator-lowering-fma.f64
4 124×*-lowering-*.f32
4 124×*-lowering-*.f64
1 688×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033216
1101216
2336204
31350198
44313198
57789198
08092185
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
v
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
e
(cos v)
1
v
(* (/ (* e v) (+ (* e e) -1)) (+ e -1))
(/ (* e v) (+ (* e e) -1))
(* e v)
e
v
(+ (* e e) -1)
-1
(+ e -1)
(* v (+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))))
v
(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
(* v v)
(* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))
(/ e (+ 1 e))
e
(+ 1 e)
1
(+ (* 1/2 (/ e (+ 1 e))) -1/6)
1/2
-1/6
(/ (* e (neg e)) (* (/ (+ (* e (cos v)) 1) (neg (sin v))) e))
(* e (neg e))
e
(neg e)
(* (/ (+ (* e (cos v)) 1) (neg (sin v))) e)
(/ (+ (* e (cos v)) 1) (neg (sin v)))
(+ (* e (cos v)) 1)
(cos v)
v
1
(neg (sin v))
(sin v)
Outputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
v
(/ (+ (* e (cos v)) 1) e)
(/.f64 (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))
e
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
v
(* (/ (* e v) (+ (* e e) -1)) (+ e -1))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/ (* e v) (+ (* e e) -1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(* e v)
(*.f64 v e)
e
v
(+ (* e e) -1)
(fma.f64 e e #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ e -1)
(+.f64 e #s(literal -1 binary64))
(* v (+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
v
(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) (+.f64 e #s(literal 1 binary64)))
(* v v)
(*.f64 v v)
(* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))
(/.f64 (*.f64 e (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(/ e (+ 1 e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* 1/2 (/ e (+ 1 e))) -1/6)
(fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
-1/6
#s(literal -1/6 binary64)
(/ (* e (neg e)) (* (/ (+ (* e (cos v)) 1) (neg (sin v))) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (neg e))
(neg.f64 (*.f64 e e))
e
(neg e)
(neg.f64 e)
(* (/ (+ (* e (cos v)) 1) (neg (sin v))) e)
(*.f64 (/.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/ (+ (* e (cos v)) 1) (neg (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (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)
(neg (sin v))
(neg.f64 (sin.f64 v))
(sin v)
(sin.f64 v)

localize133.0ms (1.5%)

Memory
29.1MiB live, 232.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))
✓accuracy99.5%
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e)
✓accuracy70.7%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
✓accuracy100.0%
(/.f64 e (+.f64 #s(literal 1 binary64) e))
✓accuracy99.9%
(*.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))))
✓accuracy99.5%
(*.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)))
✓accuracy88.2%
(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)))
✓accuracy100.0%
(+.f64 e #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
78.0ms256×0valid
Compiler

Compiled 208 to 35 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 22.0ms (39.6% of total)
ival-div: 9.0ms (16.2% of total)
ival-add: 7.0ms (12.6% of total)
ival-sin: 6.0ms (10.8% of total)
ival-cos: 5.0ms (9% of total)
const: 4.0ms (7.2% of total)
ival-neg: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-14.7MiB live, 62.9MiB allocated
Counts
20 → 372
Calls
Call 1
Inputs
#<alt (/ (sin v) (/ (+ (* e (cos v)) 1) e))>
#<alt (sin v)>
#<alt (/ (+ (* e (cos v)) 1) e)>
#<alt (+ (* e (cos v)) 1)>
#<alt (* (/ (* e v) (+ (* e e) -1)) (+ e -1))>
#<alt (/ (* e v) (+ (* e e) -1))>
#<alt (* e v)>
#<alt (+ (* e e) -1)>
#<alt (+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))>
#<alt (* v (+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))))>
#<alt (* v v)>
#<alt (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))>
#<alt (/ (* e (neg e)) (* (/ (+ (* e (cos v)) 1) (neg (sin v))) e))>
#<alt (* e (neg e))>
#<alt (neg e)>
#<alt (* (/ (+ (* e (cos v)) 1) (neg (sin v))) e)>
#<alt (cos v)>
#<alt (+ e -1)>
#<alt (/ e (+ 1 e))>
#<alt (/ (+ (* e (cos v)) 1) (neg (sin 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>
#<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 (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e v)))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))>
#<alt (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (* -1 (* e v))>
#<alt (* e (+ (* -1 v) (* -1 (* (pow e 2) v))))>
#<alt (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))>
#<alt (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))>
#<alt (/ v e)>
#<alt (/ (+ v (/ v (pow e 2))) e)>
#<alt (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)>
#<alt (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)>
#<alt (/ v e)>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) e))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<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 (- (pow e 2) 1)>
#<alt (- (pow e 2) 1)>
#<alt (- (pow e 2) 1)>
#<alt (pow e 2)>
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#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (pow e 2)>
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#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (/ e (+ 1 e))>
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))>
#<alt (+ 1 (* 1/3 (pow v 2)))>
#<alt (- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e)))>
#<alt (- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (- (+ 1 (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (+ (* 1/2 (/ (pow v 2) (pow e 3))) (+ (/ 1 e) (/ 1 (pow e 3))))))))>
#<alt (+ 1 (* 1/3 (pow v 2)))>
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2)))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (+ (* e (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* e (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* e (+ (* e (* v (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2)))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1 (pow v 2)) (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2)))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (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 e)>
#<alt (* e (- (* 2/3 e) 1/6))>
#<alt (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))>
#<alt (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))>
#<alt 1/3>
#<alt (- 1/3 (* 5/6 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))>
#<alt 1/3>
#<alt (- 1/3 (* 5/6 (/ 1 e)))>
#<alt (+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))>
#<alt (+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))>
#<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 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<alt (* -1 (pow e 2))>
#<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)>
#<alt (* -1 (/ e (sin v)))>
#<alt (* e (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))))>
#<alt (* e (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))))>
#<alt (* e (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))))>
#<alt (* -1 (/ (* (pow e 2) (cos v)) (sin v)))>
#<alt (* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* -1 (/ (* (pow e 2) (cos v)) (sin v)))>
#<alt (* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* -1 (/ (* e (+ 1 e)) v))>
#<alt (/ (+ (* -1 (* e (+ 1 e))) (* -1 (* (pow v 2) (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))))) v)>
#<alt (/ (+ (* -1 (* e (+ 1 e))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/24 (pow e 2)) (+ (* -1/6 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* 1/120 (* e (+ 1 e))))))) (* -1 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e)))))))) v)>
#<alt (/ (+ (* -1 (* e (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -1/720 (pow e 2)) (+ (* -1/6 (- (* 1/24 (pow e 2)) (+ (* -1/6 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* 1/120 (* e (+ 1 e)))))) (+ (* -1/5040 (* e (+ 1 e))) (* 1/120 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e)))))))))) (* -1 (- (* 1/24 (pow e 2)) (+ (* -1/6 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* 1/120 (* e (+ 1 e))))))))))) v)>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt (* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt -1>
#<alt (- e 1)>
#<alt (- e 1)>
#<alt (- e 1)>
#<alt e>
#<alt (* e (- 1 (/ 1 e)))>
#<alt (* e (- 1 (/ 1 e)))>
#<alt (* e (- 1 (/ 1 e)))>
#<alt e>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt (/ -1 (sin v))>
#<alt (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v)))>
#<alt (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v)))>
#<alt (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v)))>
#<alt (* -1 (/ (* e (cos v)) (sin v)))>
#<alt (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))>
#<alt (* -1 (/ (* e (cos v)) (sin v)))>
#<alt (* -1 (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (/ (+ (* -1 (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e))))) (* -1 (+ 1 e))) v)>
#<alt (/ (+ (* -1 (+ 1 e)) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1 (- (* -1/2 e) (* -1/6 (+ 1 e))))))) v)>
#<alt (/ (+ (* -1 (+ 1 e)) (* (pow v 2) (+ (* -1 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* (pow v 2) (+ (* -1 (* (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 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))))))) v)>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (sin v)))>
Calls

93 calls:

TimeVariablePointExpression
8.0ms
v
@0
(* (/ (+ (* e (cos v)) 1) (neg (sin v))) e)
2.0ms
v
@-inf
(/ (+ (* e (cos v)) 1) e)
1.0ms
e
@0
(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
1.0ms
v
@0
(* (/ (* e v) (+ (* e e) -1)) (+ e -1))
1.0ms
v
@inf
(* (/ (+ (* e (cos v)) 1) (neg (sin v))) e)

rewrite384.0ms (4.2%)

Memory
18.5MiB live, 522.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 996×/-lowering-/.f32
5 996×/-lowering-/.f64
3 964×accelerator-lowering-fma.f32
3 964×accelerator-lowering-fma.f64
3 724×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033182
1210180
21966174
08664161
Stop Event
1×iter limit
1×node limit
Counts
20 → 951
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
(* (/ (* e v) (+ (* e e) -1)) (+ e -1))
(/ (* e v) (+ (* e e) -1))
(* e v)
(+ (* e e) -1)
(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
(* v (+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))))
(* v v)
(* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))
(/ (* e (neg e)) (* (/ (+ (* e (cos v)) 1) (neg (sin v))) e))
(* e (neg e))
(neg e)
(* (/ (+ (* e (cos v)) 1) (neg (sin v))) e)
(cos v)
(+ e -1)
(/ e (+ 1 e))
(/ (+ (* e (cos v)) 1) (neg (sin v)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #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) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.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 (sin.f64 v) e))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) (*.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (sin.f64 v))) (*.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (fma.f64 (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))
(sin.f64 v)
(neg.f64 (neg.f64 (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))))))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) e) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 e))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (neg.f64 e)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (neg.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) e)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 e))))
(/.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 e))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64))
(pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #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) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 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 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (cos.f64 v)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (cos.f64 v)))))
(/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))))
(pow.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))

simplify638.0ms (7%)

Memory
-308.0MiB live, 545.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 020×accelerator-lowering-fma.f32
11 020×accelerator-lowering-fma.f64
5 786×*-lowering-*.f32
5 786×*-lowering-*.f64
4 058×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06215224
119864955
261174908
080714589
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
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
(* 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)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
1
(+ 1 (* e (cos v)))
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(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
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(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(+ 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)))
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(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
v
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* -1 (* e v))
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(* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))
(* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))
(/ v e)
(/ (+ v (/ v (pow e 2))) e)
(/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)
(/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)
(/ v e)
(* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))
(* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))
(* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) e))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(* 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)
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(* e v)
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(* e v)
(* e v)
(* e v)
(* e v)
-1
(- (pow e 2) 1)
(- (pow e 2) 1)
(- (pow e 2) 1)
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(* (pow e 2) (- 1 (/ 1 (pow e 2))))
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(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(/ e (+ 1 e))
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(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
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(/ (* e v) (+ 1 e))
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(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (+ (* e (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (+ (* e (+ (* e (* v (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2)))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2))))
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(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(pow v 2)
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(pow v 2)
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(pow v 2)
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(* -1/6 e)
(* e (- (* 2/3 e) 1/6))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* 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 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 (pow e 2))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 (/ e (sin v)))
(* e (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))))
(* e (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))))
(* e (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))))
(* -1 (/ (* (pow e 2) (cos v)) (sin v)))
(* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* -1 (/ (* (pow e 2) (cos v)) (sin v)))
(* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* (pow e 2) (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* -1 (/ (* e (+ 1 e)) v))
(/ (+ (* -1 (* e (+ 1 e))) (* -1 (* (pow v 2) (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))))) v)
(/ (+ (* -1 (* e (+ 1 e))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/24 (pow e 2)) (+ (* -1/6 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* 1/120 (* e (+ 1 e))))))) (* -1 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e)))))))) v)
(/ (+ (* -1 (* e (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -1/720 (pow e 2)) (+ (* -1/6 (- (* 1/24 (pow e 2)) (+ (* -1/6 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* 1/120 (* e (+ 1 e)))))) (+ (* -1/5040 (* e (+ 1 e))) (* 1/120 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e)))))))))) (* -1 (- (* 1/24 (pow e 2)) (+ (* -1/6 (- (* -1/2 (pow e 2)) (* -1/6 (* e (+ 1 e))))) (* 1/120 (* e (+ 1 e))))))))))) v)
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
(* -1 (/ (* e (+ 1 (* e (cos v)))) (sin v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
-1
(- e 1)
(- e 1)
(- e 1)
e
(* e (- 1 (/ 1 e)))
(* e (- 1 (/ 1 e)))
(* e (- 1 (/ 1 e)))
e
(* -1 (* e (- (/ 1 e) 1)))
(* -1 (* e (- (/ 1 e) 1)))
(* -1 (* e (- (/ 1 e) 1)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(/ -1 (sin v))
(- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v)))
(- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v)))
(- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v)))
(* -1 (/ (* e (cos v)) (sin v)))
(* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))
(* -1 (/ (* e (cos v)) (sin v)))
(* -1 (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))))
(* -1 (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))))
(* -1 (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))))
(* -1 (/ (+ 1 e) v))
(/ (+ (* -1 (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e))))) (* -1 (+ 1 e))) v)
(/ (+ (* -1 (+ 1 e)) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1 (- (* -1/2 e) (* -1/6 (+ 1 e))))))) v)
(/ (+ (* -1 (+ 1 e)) (* (pow v 2) (+ (* -1 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* (pow v 2) (+ (* -1 (* (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 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))))))) v)
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 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 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 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))) (* (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 v (*.f64 v (+.f64 (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 e e) (/.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 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 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v 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 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(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)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) v) v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 v 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)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
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))
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(/ (+ (* -1 (+ 1 e)) (* (pow v 2) (+ (* -1 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* (pow v 2) (+ (* -1 (* (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 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))))))) v)
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v (neg.f64 v)) (-.f64 (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.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 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (*.f64 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)
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))

eval205.0ms (2.2%)

Memory
31.1MiB live, 304.1MiB allocated
Compiler

Compiled 43 424 to 4 240 computations (90.2% saved)

prune188.0ms (2.1%)

Memory
-16.1MiB live, 414.4MiB allocated
Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1 462161 478
Fresh61824
Picked415
Done044
Total1 472391 511
Accuracy
100.0%
Counts
1 511 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) e)
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
48.5%
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
48.5%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) e))
46.9%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
70.0%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
69.5%
(/.f64 (*.f64 e (neg.f64 e)) (neg.f64 (/.f64 e (sin.f64 v))))
54.0%
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓53.9%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶98.5%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
53.8%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
55.1%
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
53.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.5%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
74.5%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
42.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))))) (sin.f64 v))
▶53.9%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
▶28.3%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
26.7%
(*.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (*.f64 v (*.f64 v v)))
✓99.6%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
▶99.1%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
54.0%
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
53.3%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
53.7%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
53.3%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
53.3%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
53.3%
(*.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))
53.2%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
98.5%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
53.9%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.7%
(*.f64 e (sin.f64 v))
▶53.5%
(*.f64 e v)
✓4.6%
v
Compiler

Compiled 1 075 to 638 computations (40.7% saved)

simplify304.0ms (3.3%)

Memory
16.9MiB live, 415.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff1088
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
✓cost-diff704
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
✓cost-diff1024
(*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
✓cost-diff0
(fma.f64 e e #s(literal -1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
✓cost-diff0
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(*.f64 e e)
✓cost-diff0
(-.f64 e (*.f64 e e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Rules
12 600×accelerator-lowering-fma.f32
12 600×accelerator-lowering-fma.f64
3 242×*-lowering-*.f32
3 242×*-lowering-*.f64
1 450×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018123
150119
2149119
3598113
42333107
53733107
67429107
08050102
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sin v) (- e (* e e)))
(sin v)
v
(- e (* e e))
e
(* e e)
(* e v)
e
v
(* (/ (* e v) (+ (* e e) -1)) e)
(/ (* e v) (+ (* e e) -1))
(* e v)
e
v
(+ (* e e) -1)
-1
(* (/ (* e v) (+ (* e e) -1)) (* e (+ 1 (/ -1 e))))
(/ (* e v) (+ (* e e) -1))
(* e v)
e
v
(+ (* e e) -1)
-1
(* e (+ 1 (/ -1 e)))
(+ 1 (/ -1 e))
1
(/ -1 e)
(/ (sin v) (/ 1 e))
(sin v)
v
(/ 1 e)
1
e
Outputs
(* (sin v) (- e (* e e)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(sin v)
(sin.f64 v)
v
(- e (* e e))
(-.f64 e (*.f64 e e))
e
(* e e)
(*.f64 e e)
(* e v)
(*.f64 v e)
e
v
(* (/ (* e v) (+ (* e e) -1)) e)
(/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e v) (+ (* e e) -1))
(/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64)))
(* e v)
(*.f64 v e)
e
v
(+ (* e e) -1)
(fma.f64 e e #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (/ (* e v) (+ (* e e) -1)) (* e (+ 1 (/ -1 e))))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/ (* e v) (+ (* e e) -1))
(/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64)))
(* e v)
(*.f64 v e)
e
v
(+ (* e e) -1)
(fma.f64 e e #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* e (+ 1 (/ -1 e)))
(+.f64 e #s(literal -1 binary64))
(+ 1 (/ -1 e))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (sin v) (/ 1 e))
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e

localize259.0ms (2.8%)

Memory
1.0MiB live, 119.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.7%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
✓accuracy99.7%
(*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
✓accuracy100.0%
(fma.f64 e e #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(-.f64 e (*.f64 e e))
✓accuracy100.0%
(*.f64 e e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Samples
45.0ms256×0valid
Compiler

Compiled 119 to 20 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36.2% of total)
ival-div: 6.0ms (24.1% of total)
ival-sin: 6.0ms (24.1% of total)
ival-add: 2.0ms (8% of total)
ival-sub: 1.0ms (4% 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
18.4MiB live, 18.4MiB allocated
Counts
12 → 216
Calls
Call 1
Inputs
#<alt (* (sin v) (- e (* e e)))>
#<alt (sin v)>
#<alt (- e (* e e))>
#<alt (* e e)>
#<alt (* e v)>
#<alt (* (/ (* e v) (+ (* e e) -1)) e)>
#<alt (/ (* e v) (+ (* e e) -1))>
#<alt (+ (* e e) -1)>
#<alt (* e (+ 1 (/ -1 e)))>
#<alt (* (/ (* e v) (+ (* e e) -1)) (* e (+ 1 (/ -1 e))))>
#<alt (/ (sin v) (/ 1 e))>
#<alt (/ 1 e)>
Outputs
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))>
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))>
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* -1 (* (pow e 2) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<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 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (* -1 (* (pow e 2) v))))>
#<alt (* (pow e 2) (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))>
#<alt (* (pow e 2) (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))>
#<alt v>
#<alt (+ v (/ v (pow e 2)))>
#<alt (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2))))>
#<alt (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4)))))>
#<alt v>
#<alt (+ v (/ v (pow e 2)))>
#<alt (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2))))>
#<alt (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4)))))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) v) (- (pow e 2) 1))>
#<alt (* -1 (* e v))>
#<alt (* e (+ (* -1 v) (* -1 (* (pow e 2) v))))>
#<alt (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))>
#<alt (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))>
#<alt (/ v e)>
#<alt (/ (+ v (/ v (pow e 2))) e)>
#<alt (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)>
#<alt (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)>
#<alt (/ v e)>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))>
#<alt (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) e))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt (/ (* e v) (- (pow e 2) 1))>
#<alt -1>
#<alt (- (pow e 2) 1)>
#<alt (- (pow e 2) 1)>
#<alt (- (pow e 2) 1)>
#<alt (pow e 2)>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (pow e 2)>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt -1>
#<alt (- e 1)>
#<alt (- e 1)>
#<alt (- e 1)>
#<alt e>
#<alt (* e (- 1 (/ 1 e)))>
#<alt (* e (- 1 (/ 1 e)))>
#<alt (* e (- 1 (/ 1 e)))>
#<alt e>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e v)))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))>
#<alt (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<alt (/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))>
#<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)>
#<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

54 calls:

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

rewrite314.0ms (3.4%)

Memory
-7.4MiB live, 552.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 040×accelerator-lowering-fma.f32
7 040×accelerator-lowering-fma.f64
4 800×*-lowering-*.f32
4 800×*-lowering-*.f64
4 102×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01879
111175
282863
0874260
Stop Event
1×iter limit
1×node limit
Counts
12 → 1 104
Calls
Call 1
Inputs
(* (sin v) (- e (* e e)))
(sin v)
(- e (* e e))
(* e e)
(* e v)
(* (/ (* e v) (+ (* e e) -1)) e)
(/ (* e v) (+ (* e e) -1))
(+ (* e e) -1)
(* e (+ 1 (/ -1 e)))
(* (/ (* e v) (+ (* e e) -1)) (* e (+ 1 (/ -1 e))))
(/ (sin v) (/ 1 e))
(/ 1 e)
Outputs
(+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(+.f64 (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))) (*.f64 (sin.f64 v) e))
(fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (sin.f64 v) (*.f64 e (neg.f64 e)) (*.f64 (sin.f64 v) e))
(fma.f64 e (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 e (neg.f64 (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) e))
(fma.f64 (*.f64 e e) (neg.f64 (sin.f64 v)) (*.f64 (sin.f64 v) e))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) (sin.f64 v)) (*.f64 (sin.f64 v) e))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (neg.f64 e) (neg.f64 (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 (sin.f64 v)) (*.f64 e e) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 (sin.f64 v)) (neg.f64 e) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (*.f64 e (neg.f64 e)) (sin.f64 v) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 (*.f64 (sin.f64 v) e)) e (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (*.f64 (sin.f64 v) e) (neg.f64 e) (*.f64 (sin.f64 v) e))
(fma.f64 (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))) #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(fma.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(fma.f64 (*.f64 (sin.f64 v) (*.f64 e e)) #s(literal -1 binary64) (*.f64 (sin.f64 v) e))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (neg.f64 e) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))
(/.f64 (-.f64 e (*.f64 e e)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))) (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e e) (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))))))
(/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 (*.f64 e (neg.f64 e)) (-.f64 (*.f64 e (neg.f64 e)) e) (*.f64 e e)))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))))) (neg.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))))) (neg.f64 (fma.f64 e e e)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) e) (-.f64 (*.f64 (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e)))) (*.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) e)) (*.f64 (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e))))) (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (neg.f64 e)))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))))) (neg.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))))) (neg.f64 (fma.f64 e e e)))
(/.f64 (*.f64 (-.f64 e (*.f64 e e)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) (-.f64 e (*.f64 e e))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (sin.f64 v)) (neg.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))))
(/.f64 (*.f64 (neg.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (sin.f64 v)) (neg.f64 (fma.f64 e e e)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (sin.f64 v)))
(*.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))) (/.f64 (sin.f64 v) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))))
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v)))
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (/.f64 (sin.f64 v) (fma.f64 e e e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))))
(*.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) e))
(*.f64 (/.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 e (*.f64 e (fma.f64 e e e)))) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))))) (fma.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (-.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 e e)) (*.f64 e (*.f64 e (*.f64 e e)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (*.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))) (-.f64 (*.f64 e e) (*.f64 e (*.f64 e (fma.f64 e e e)))))) (-.f64 (*.f64 e e) (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (-.f64 e (*.f64 e e)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (*.f64 e (*.f64 e e)))) (fma.f64 (*.f64 e e) (-.f64 (*.f64 e e) e) (*.f64 e e)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))
(sin.f64 v)
(neg.f64 (neg.f64 (sin.f64 v)))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))
(+.f64 e (*.f64 e (neg.f64 e)))
(+.f64 (*.f64 e (neg.f64 e)) e)
(+.f64 (/.f64 (*.f64 e (*.f64 e e)) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (neg.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))))
(+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 e (*.f64 e e))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) e))
(-.f64 (/.f64 (*.f64 e (*.f64 e e)) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))))
(-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (+.f64 e #s(literal 0 binary64)) (*.f64 e e))
(fma.f64 e #s(literal 1 binary64) (*.f64 e (neg.f64 e)))
(fma.f64 e (neg.f64 e) e)
(fma.f64 e (/.f64 e (fma.f64 e e e)) (neg.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 e (/.f64 (*.f64 e e) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (neg.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))))
(fma.f64 (*.f64 e e) #s(literal -1 binary64) e)
(fma.f64 (*.f64 e e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (neg.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 e e) (/.f64 e (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (neg.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 e e) e)
(fma.f64 #s(literal -1 binary64) (neg.f64 e) (*.f64 e (neg.f64 e)))
(fma.f64 #s(literal 1 binary64) e (*.f64 e (neg.f64 e)))
(fma.f64 #s(literal 1 binary64) (*.f64 e (neg.f64 e)) e)
(fma.f64 (neg.f64 e) e e)
(fma.f64 (neg.f64 e) #s(literal -1 binary64) (*.f64 e (neg.f64 e)))
(fma.f64 (*.f64 e (*.f64 e e)) (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (neg.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))))
(fma.f64 (*.f64 e (neg.f64 e)) #s(literal 1 binary64) e)
(fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 e #s(literal 3/2 binary64)) (/.f64 (pow.f64 e #s(literal 3/2 binary64)) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (neg.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 e (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal -1 binary64)) (*.f64 v e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (neg.f64 (*.f64 v e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)) #s(literal -1 binary64))) (*.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)) #s(literal -1 binary64))) (/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e (*.f64 e (*.f64 e e)) #s(literal -1 binary64))) (*.f64 v (*.f64 e (fma.f64 e e #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e (*.f64 e (*.f64 e e)) #s(literal -1 binary64))) (/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (+.f64 e #s(literal 1 binary64))))
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(*.f64 (/.f64 (fma.f64 v e (neg.f64 v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 v e (neg.f64 v)) (+.f64 e #s(literal -1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (/.f64 e (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 v (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (/.f64 (neg.f64 (*.f64 v e)) (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 v e)) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))) (/.f64 e (+.f64 e #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e (*.f64 e (*.f64 e e)) #s(literal -1 binary64)))) (fma.f64 e e #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) (/.f64 e (+.f64 e #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 e))
(*.f64 (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) e)
(*.f64 (*.f64 (fma.f64 e e (neg.f64 e)) (/.f64 v (fma.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 e e (neg.f64 e)) (/.f64 v (fma.f64 e (*.f64 e (*.f64 e e)) #s(literal -1 binary64)))) (fma.f64 e e #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (*.f64 v e)))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(*.f64 (/.f64 (*.f64 v (fma.f64 e e (neg.f64 e))) (fma.f64 (*.f64 e e) (neg.f64 (*.f64 e (*.f64 e (*.f64 e e)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 v (fma.f64 e e (neg.f64 e))) (fma.f64 (*.f64 e e) (*.f64 e (neg.f64 e)) #s(literal 1 binary64))) (fma.f64 e (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 v (fma.f64 e e (neg.f64 e))) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (*.f64 e e))))) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(*.f64 (/.f64 (*.f64 v (-.f64 e (*.f64 e e))) (fma.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 v (-.f64 e (*.f64 e e))) (fma.f64 e (*.f64 e (*.f64 e e)) #s(literal -1 binary64))) (fma.f64 e (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e)) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e))) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)) (-.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e))))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))))
(*.f64 (/.f64 (/.f64 (*.f64 v (fma.f64 e e (neg.f64 e))) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (/.f64 (*.f64 v (fma.f64 e e (neg.f64 e))) (+.f64 e #s(literal 1 binary64))) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e)) (neg.f64 (*.f64 (sin.f64 v) e)))
(neg.f64 (neg.f64 (*.f64 (sin.f64 v) e)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (neg.f64 e))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 e)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e))
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal -1 binary64) (neg.f64 e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(pow.f64 e #s(literal -1 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 e)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))

simplify403.0ms (4.4%)

Memory
15.2MiB live, 642.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 894×accelerator-lowering-fma.f32
14 894×accelerator-lowering-fma.f64
4 012×*-lowering-*.f32
4 012×*-lowering-*.f64
2 760×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821608
15781540
216931490
349661482
081691417
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* v (- e (pow e 2)))
(* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* -1 (* (pow e 2) (sin v)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* -1 (* (pow e 2) (sin v)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(* 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 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (* -1 (* (pow e 2) v))))
(* (pow e 2) (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))
(* (pow e 2) (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))
v
(+ v (/ v (pow e 2)))
(- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2))))
(- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4)))))
v
(+ v (/ v (pow e 2)))
(- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2))))
(- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(* -1 (* e v))
(* e (+ (* -1 v) (* -1 (* (pow e 2) v))))
(* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))
(* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))
(/ v e)
(/ (+ v (/ v (pow e 2))) e)
(/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)
(/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)
(/ v e)
(* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))
(* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))
(* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) e))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
(/ (* e v) (- (pow e 2) 1))
-1
(- (pow e 2) 1)
(- (pow e 2) 1)
(- (pow e 2) 1)
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
-1
(- e 1)
(- e 1)
(- e 1)
e
(* e (- 1 (/ 1 e)))
(* e (- 1 (/ 1 e)))
(* e (- 1 (/ 1 e)))
e
(* -1 (* e (- (/ 1 e) 1)))
(* -1 (* e (- (/ 1 e) 1)))
(* -1 (* e (- (/ 1 e) 1)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
v
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(* 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)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
Outputs
(* v (- e (pow e 2)))
(*.f64 v (-.f64 e (*.f64 e e)))
(* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))
(*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e (*.f64 e e)) (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (-.f64 e (*.f64 e e)) #s(literal -1/6 binary64) (*.f64 (-.f64 e (*.f64 e e)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (-.f64 e (*.f64 e e))))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (sin v) (- e (pow e 2)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* -1 (* (pow e 2) (sin v)))
(*.f64 e (neg.f64 (*.f64 e (sin.f64 v))))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* -1 (* (pow e 2) (sin v)))
(*.f64 e (neg.f64 (*.f64 e (sin.f64 v))))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(*.f64 (-.f64 e (*.f64 e e)) (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (*.f64 v v) (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(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
(* e (+ 1 (* -1 e)))
(-.f64 e (*.f64 e e))
(* e (+ 1 (* -1 e)))
(-.f64 e (*.f64 e e))
(* e (+ 1 (* -1 e)))
(-.f64 e (*.f64 e e))
(* -1 (pow e 2))
(neg.f64 (*.f64 e e))
(* (pow e 2) (- (/ 1 e) 1))
(-.f64 e (*.f64 e e))
(* (pow e 2) (- (/ 1 e) 1))
(-.f64 e (*.f64 e e))
(* (pow e 2) (- (/ 1 e) 1))
(-.f64 e (*.f64 e e))
(* -1 (pow e 2))
(neg.f64 (*.f64 e e))
(* (pow e 2) (- (/ 1 e) 1))
(-.f64 e (*.f64 e e))
(* (pow e 2) (- (/ 1 e) 1))
(-.f64 e (*.f64 e e))
(* (pow e 2) (- (/ 1 e) 1))
(-.f64 e (*.f64 e e))
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(pow e 2)
(*.f64 e e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* -1 (* (pow e 2) v))
(*.f64 e (*.f64 v (neg.f64 e)))
(* (pow e 2) (+ (* -1 v) (* -1 (* (pow e 2) v))))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(* (pow e 2) (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))
(*.f64 (*.f64 e e) (neg.f64 (fma.f64 (*.f64 e e) (fma.f64 v (*.f64 e e) v) v)))
(* (pow e 2) (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))
(*.f64 (*.f64 e e) (*.f64 (fma.f64 (*.f64 e e) (*.f64 e e) #s(literal 1 binary64)) (neg.f64 (fma.f64 v (*.f64 e e) v))))
v
(+ v (/ v (pow e 2)))
(+.f64 v (/.f64 v (*.f64 e e)))
(- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2))))
(+.f64 (/.f64 v (*.f64 e e)) (+.f64 v (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e)))))
(- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4)))))
(+.f64 v (+.f64 (/.f64 v (*.f64 e e)) (+.f64 (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e))) (/.f64 v (pow.f64 e #s(literal 6 binary64))))))
v
(+ v (/ v (pow e 2)))
(+.f64 v (/.f64 v (*.f64 e e)))
(- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2))))
(+.f64 (/.f64 v (*.f64 e e)) (+.f64 v (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e)))))
(- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4)))))
(+.f64 v (+.f64 (/.f64 v (*.f64 e e)) (+.f64 (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e))) (/.f64 v (pow.f64 e #s(literal 6 binary64))))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/ (* (pow e 2) v) (- (pow e 2) 1))
(*.f64 v (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(* -1 (* e v))
(*.f64 v (neg.f64 e))
(* e (+ (* -1 v) (* -1 (* (pow e 2) v))))
(neg.f64 (*.f64 e (fma.f64 v (*.f64 e e) v)))
(* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))
(*.f64 e (neg.f64 (fma.f64 (*.f64 e e) (fma.f64 v (*.f64 e e) v) v)))
(* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))
(*.f64 e (*.f64 (fma.f64 (*.f64 e e) (*.f64 e e) #s(literal 1 binary64)) (neg.f64 (fma.f64 v (*.f64 e e) v))))
(/ v e)
(/.f64 v e)
(/ (+ v (/ v (pow e 2))) e)
(/.f64 (+.f64 v (/.f64 v (*.f64 e e))) e)
(/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)
(/.f64 (+.f64 (/.f64 v (*.f64 e e)) (+.f64 v (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e))))) e)
(/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)
(/.f64 (+.f64 v (+.f64 (/.f64 v (*.f64 e e)) (+.f64 (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e))) (/.f64 v (pow.f64 e #s(literal 6 binary64)))))) e)
(/ v e)
(/.f64 v e)
(* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))
(/.f64 (+.f64 v (/.f64 v (*.f64 e e))) e)
(* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))
(/.f64 (+.f64 (/.f64 v (*.f64 e e)) (+.f64 v (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e))))) e)
(* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) e))
(/.f64 (+.f64 v (+.f64 (/.f64 v (*.f64 e e)) (+.f64 (/.f64 v (*.f64 (*.f64 e e) (*.f64 e e))) (/.f64 v (pow.f64 e #s(literal 6 binary64)))))) e)
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(/ (* e v) (- (pow e 2) 1))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(pow e 2)
(*.f64 e e)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(fma.f64 e e #s(literal -1 binary64))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(fma.f64 e e #s(literal -1 binary64))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(fma.f64 e e #s(literal -1 binary64))
(pow e 2)
(*.f64 e e)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(fma.f64 e e #s(literal -1 binary64))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(fma.f64 e e #s(literal -1 binary64))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(fma.f64 e e #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- e 1)
(+.f64 e #s(literal -1 binary64))
(- e 1)
(+.f64 e #s(literal -1 binary64))
(- e 1)
(+.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
(* -1 (* e (- (/ 1 e) 1)))
(+.f64 e #s(literal -1 binary64))
(* -1 (* e (- (/ 1 e) 1)))
(+.f64 e #s(literal -1 binary64))
(* -1 (* e (- (/ 1 e) 1)))
(+.f64 e #s(literal -1 binary64))
(* e v)
(*.f64 v e)
(* e (+ v (* -1 (* e v))))
(*.f64 v (-.f64 e (*.f64 e e)))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(*.f64 e (fma.f64 v (*.f64 e (+.f64 e #s(literal -1 binary64))) v))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
(*.f64 e (*.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 v (*.f64 v e))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
(+.f64 v (/.f64 (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v) e))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(+.f64 v (/.f64 (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v) e))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(/ (* (pow e 2) (* v (- 1 (/ 1 e)))) (- (pow e 2) 1))
(/.f64 (*.f64 e (*.f64 e (-.f64 v (/.f64 v e)))) (fma.f64 e e #s(literal -1 binary64)))
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) e))
(* 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 v (*.f64 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 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(* 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)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)

eval279.0ms (3.1%)

Memory
-5.1MiB live, 467.3MiB allocated
Compiler

Compiled 36 962 to 3 017 computations (91.8% saved)

prune300.0ms (3.3%)

Memory
9.0MiB live, 539.9MiB allocated
Pruning

61 alts after pruning (55 fresh and 6 done)

PrunedKeptTotal
New1 708351 743
Fresh92029
Picked325
Done145
Total1 721611 782
Accuracy
100.0%
Counts
1 782 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
28.2%
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
28.2%
(/.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal -1 binary64)) v))
98.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) e))
64.9%
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
48.5%
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
48.5%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) e))
46.9%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
70.0%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
69.5%
(/.f64 (*.f64 e (neg.f64 e)) (neg.f64 (/.f64 e (sin.f64 v))))
54.0%
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
28.2%
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
98.2%
(/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓98.5%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
53.4%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
28.3%
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
55.1%
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
53.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.5%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
28.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
97.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
28.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)) (/.f64 #s(literal 1 binary64) e)))
28.3%
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
28.3%
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
53.9%
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
22.4%
(*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (*.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))) (-.f64 (*.f64 e e) (*.f64 e (*.f64 e (fma.f64 e e e)))))) (-.f64 (*.f64 e e) (*.f64 e (*.f64 e (fma.f64 e e e)))))
43.1%
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
7.6%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
7.6%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (fma.f64 e e (neg.f64 e)))) e)
2.1%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
8.9%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (fma.f64 e e (neg.f64 e)))) e)
27.3%
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
28.2%
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
28.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (neg.f64 e) (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
99.1%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))
17.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))))
40.0%
(*.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (sin.f64 v)))
28.2%
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
53.9%
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
28.3%
(*.f64 (*.f64 v (neg.f64 e)) e)
✓99.6%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
41.4%
(*.f64 (sin.f64 v) (/.f64 (-.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 (fma.f64 e e e) (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (fma.f64 e e e) (fma.f64 e e e))))
54.0%
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
53.3%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
53.3%
(*.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))
53.7%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
53.3%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
54.0%
(*.f64 v (-.f64 e (*.f64 e e)))
53.7%
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
53.3%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
53.2%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
98.5%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
53.9%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.7%
(*.f64 e (sin.f64 v))
✓53.5%
(*.f64 e v)
✓4.6%
v
Compiler

Compiled 2 357 to 892 computations (62.2% saved)

regimes79.0ms (0.9%)

Memory
-11.6MiB live, 143.6MiB allocated
Counts
90 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (*.f64 v (*.f64 v v)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (neg.f64 e) (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) 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))))
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #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 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) 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 e (/.f64 #s(literal 1 binary64) (/.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 e (neg.f64 e)) (neg.f64 (/.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (sin.f64 v)))
(*.f64 (sin.f64 v) (/.f64 (-.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 (fma.f64 e e e) (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (fma.f64 e e e) (fma.f64 e e e))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (*.f64 (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))) (-.f64 (*.f64 e e) (*.f64 e (*.f64 e (fma.f64 e e e)))))) (-.f64 (*.f64 e e) (*.f64 e (*.f64 e (fma.f64 e e e)))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) (*.f64 e e)))
(/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 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 (/.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 (sin.f64 v) (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (*.f64 e (neg.f64 e)))) (/.f64 #s(literal -1 binary64) (fma.f64 e (*.f64 e (cos.f64 v)) e)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))))) (sin.f64 v))
Outputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Calls

3 calls:

25.0ms
v
24.0ms
e
24.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes73.0ms (0.8%)

Memory
-17.3MiB live, 101.0MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (*.f64 v (*.f64 v v)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (neg.f64 e) (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) 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))))
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #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 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) 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 e (/.f64 #s(literal 1 binary64) (/.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 e (neg.f64 e)) (neg.f64 (/.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (sin.f64 v)))
(*.f64 (sin.f64 v) (/.f64 (-.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 (fma.f64 e e e) (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (fma.f64 e e e) (fma.f64 e e 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:

24.0ms
v
21.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
19.0ms
e
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
99.6%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)

regimes62.0ms (0.7%)

Memory
38.6MiB live, 117.1MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (*.f64 v (*.f64 v v)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (neg.f64 e) (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) 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))))
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #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 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) 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 e (/.f64 #s(literal 1 binary64) (/.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 e (neg.f64 e)) (neg.f64 (/.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) e))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e))))) (sin.f64 v)))
(*.f64 (sin.f64 v) (/.f64 (-.f64 (*.f64 e (*.f64 e (fma.f64 e e e))) (*.f64 (fma.f64 e e e) (*.f64 e (*.f64 e (*.f64 e e))))) (*.f64 (fma.f64 e e e) (fma.f64 e e e))))
Outputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Calls

3 calls:

22.0ms
v
18.0ms
e
18.0ms
(/.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)

regimes52.0ms (0.6%)

Memory
-0.4MiB live, 114.5MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (*.f64 v (*.f64 v v)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (neg.f64 e) (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) 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))))
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #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 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

17.0ms
v
17.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.7%1e
98.7%1v
98.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes63.0ms (0.7%)

Memory
-12.9MiB live, 82.1MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))))) (*.f64 e #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (*.f64 v (*.f64 v v)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (neg.f64 e) (/.f64 (+.f64 e #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (*.f64 v (neg.f64 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) 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))))
(/.f64 (*.f64 e (neg.f64 e)) (/.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/6 binary64) (fma.f64 e e e) (*.f64 #s(literal -1/2 binary64) (*.f64 e e)))) (fma.f64 e e e))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.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 #s(literal -1/120 binary64) e #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 (/.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e)))) (fma.f64 e e (neg.f64 e)))) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 (/.f64 (+.f64 e (*.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (fma.f64 e e (neg.f64 e)))) e)
Outputs
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
Calls

3 calls:

30.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
e
Results
AccuracySegmentsBranch
55.1%1e
55.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
55.1%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes164.0ms (1.8%)

Memory
-21.2MiB live, 55.4MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 (*.f64 v (neg.f64 e)) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (*.f64 e e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (*.f64 e e))))
(/.f64 (/.f64 (*.f64 v (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) v)) e)
(*.f64 (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (*.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (*.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
Outputs
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
Calls

3 calls:

139.0ms
v
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
e
Results
AccuracySegmentsBranch
54.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.0%1e
54.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory
-8.8MiB live, 33.3MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 (neg.f64 (*.f64 e v)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e e)) (-.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
Outputs
(*.f64 v (-.f64 e (*.f64 e e)))
Calls

3 calls:

7.0ms
v
5.0ms
e
5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.0%1v
54.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.0%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
(*.f64 e (-.f64 v (*.f64 e v)))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
53.9%1v
53.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
53.9%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory
-16.9MiB live, 21.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 (*.f64 v (neg.f64 e)) e)
Outputs
(*.f64 e v)
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
53.5%1v
53.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
53.5%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory
17.6MiB live, 17.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

simplify10.0ms (0.1%)

Memory
-13.6MiB live, 26.0MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
16×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03481
15881
27181
37881
48281
58381
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v
Outputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e (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))) #s(literal 1 binary64))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v

soundness973.0ms (10.6%)

Memory
49.3MiB live, 853.4MiB allocated
Rules
14 894×accelerator-lowering-fma.f32
14 894×accelerator-lowering-fma.f64
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
11 048×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
02089
110489
273187
3739187
0811382
04173528
113093400
239763375
080713183
0929
13629
223529
3209329
0835227
01821608
15781540
216931490
349661482
081691417
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 235 to 131 computations (44.3% saved)

preprocess117.0ms (1.3%)

Memory
-15.7MiB live, 235.8MiB allocated
Remove

(negabs v)

Compiler

Compiled 216 to 102 computations (52.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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