Trigonometry A

Time bar (total: 7.7s)

analyze7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB 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 (16.9%)

Memory
24.7MiB live, 1 947.9MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 802.0ms
ival-mult: 223.0ms (27.8% of total)
ival-sin: 216.0ms (26.9% of total)
ival-cos: 166.0ms (20.7% of total)
ival-<=: 73.0ms (9.1% of total)
ival-div: 54.0ms (6.7% of total)
ival-add: 45.0ms (5.6% of total)
ival-and: 11.0ms (1.4% of total)
exact: 11.0ms (1.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess78.0ms (1%)

Memory
-3.5MiB live, 41.6MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs v)

explain124.0ms (1.6%)

Memory
12.6MiB live, 209.6MiB 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
55.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 14.0ms (36% of total)
ival-cos: 11.0ms (28.3% of total)
ival-mult: 7.0ms (18% of total)
ival-div: 3.0ms (7.7% of total)
ival-add: 3.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize38.0ms (0.5%)

Memory
-19.1MiB live, 59.1MiB 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
28.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 6.0ms (30.5% of total)
ival-cos: 5.0ms (25.4% of total)
ival-mult: 5.0ms (25.4% of total)
ival-div: 2.0ms (10.2% of total)
ival-add: 1.0ms (5.1% 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
21.9MiB live, 21.9MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (*.f64 e (cos.f64 v))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (cos.f64 v)>
Outputs
#<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 (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (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>
#<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

21 calls:

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

rewrite329.0ms (4.3%)

Memory
8.9MiB live, 584.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01521
14221
224121
3210321
0837820
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 167
Calls
Call 1
Inputs
(*.f64 e (cos.f64 v))
(*.f64 e (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(cos.f64 v)
Outputs
(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 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.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))))
(-.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 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) (*.f64 e (sin.f64 v)))
(*.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))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (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 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) (/.f64 (/.f64 (*.f64 e (cos.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) (/.f64 (/.f64 (*.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 e (sin.f64 v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 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)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(cos.f64 v)
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 v))

simplify359.0ms (4.7%)

Memory
-15.8MiB live, 552.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 770×lower-fma.f64
12 770×lower-fma.f32
6 152×lower-*.f64
6 152×lower-*.f32
4 024×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169976
1502961
21450939
34586930
08073882
Stop Event
1×iter limit
1×node limit
Counts
84 → 83
Calls
Call 1
Inputs
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (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
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (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 #s(literal -1/2 binary64) (*.f64 v v)) 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 v (*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 e #s(literal -1/2 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))
(* 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 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 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 e #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 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) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (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) (neg.f64 (*.f64 (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) e))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 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 (sin.f64 v) (cos.f64 v)) (+.f64 (/.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 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.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 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 e (*.f64 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 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 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 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.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 (*.f64 e (*.f64 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 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (fma.f64 e (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 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 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.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))) (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/720 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.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 (*.f64 e (*.f64 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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (*.f64 v 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)

eval29.0ms (0.4%)

Memory
8.5MiB live, 46.6MiB allocated
Compiler

Compiled 6 292 to 627 computations (90% saved)

prune30.0ms (0.4%)

Memory
23.6MiB live, 62.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New24010250
Fresh000
Picked101
Done000
Total24110251
Accuracy
99.9%
Counts
251 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.9%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
21.1%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
49.9%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 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)))))
▶50.0%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
▶99.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
▶98.4%
(*.f64 e (sin.f64 v))
Compiler

Compiled 356 to 216 computations (39.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize115.0ms (1.5%)

Memory
-2.4MiB live, 115.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.7%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy76.1%
(pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.9%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
✓accuracy100.0%
(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Samples
63.0ms180×0valid
18.0ms76×0invalid
Compiler

Compiled 157 to 25 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 10.0ms (27% of total)
ival-sin: 7.0ms (18.9% of total)
ival-div: 6.0ms (16.2% of total)
ival-cos: 5.0ms (13.5% of total)
ival-add: 4.0ms (10.8% of total)
ival-sqrt: 2.0ms (5.4% of total)
ival-pow2: 2.0ms (5.4% of total)
ival-neg: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-1.4MiB live, 37.2MiB allocated
Counts
14 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)>
#<alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (cos.f64 v)>
#<alt (sin.f64 v)>
#<alt (/.f64 e (+.f64 e #s(literal 1 binary64)))>
#<alt (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (neg.f64 e)>
#<alt (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64))>
#<alt (pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt v>
#<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 (* 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 (/ (* 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 (* -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 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 (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))>
#<alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))>
#<alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (* -1 (* e (* (cos v) (sin v))))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* e (* (cos v) (sin v))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -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 (sqrt (* e (sin v)))>
#<alt (+ (sqrt (* e (sin v))) (* -1/2 (* (sqrt (* (pow e 3) (sin v))) (cos v))))>
#<alt (+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* 1/2 (* (sqrt (* e (sin v))) (pow (cos v) 2))))))>
#<alt (+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* e (+ (* -1/2 (* (sqrt (/ e (sin v))) (+ (* 1/4 (/ (* (pow (cos v) 2) (sin v)) e)) (* (pow (cos v) 3) (sin v))))) (* 1/2 (* (sqrt (/ (sin v) e)) (pow (cos v) 2))))))))>
#<alt (sqrt (/ (sin v) (cos v)))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (+ (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))) (* -1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (pow e 2)) (sqrt (/ (cos v) (sin v)))))))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (+ (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (pow e 2)) (sqrt (/ (cos v) (sin v))))) (* -1/2 (* (/ (+ (* 1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v))) (/ (sin v) (pow (cos v) 4))) (pow e 3)) (sqrt (/ (cos v) (sin v))))))))>
#<alt (sqrt (/ (sin v) (cos v)))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3)))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) e) (sqrt (/ (cos v) (sin v)))))) e)))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (cos v) (sin v))) (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 4))) (* -1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v)))) e) (sqrt (/ (cos v) (sin v)))))) e)) (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3))))) e)))>
#<alt (sqrt (/ (* e v) (+ 1 e)))>
#<alt (+ (sqrt (/ (* e v) (+ 1 e))) (* 1/2 (* (sqrt (/ (* (pow v 5) (+ 1 e)) e)) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))>
#<alt (+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (* (pow v 3) (+ 1 e)) 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))))))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))))>
#<alt (+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ (pow (+ 1 e) 3) (* (pow e 3) v))) (pow (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) 2))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* 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))))))))))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* 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 (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v)))>
#<alt (+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))>
#<alt (+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 4))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))>
#<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 (/ (* 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))))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(* e (* (+ (* (cos v) (neg e)) 1) (sin v)))
2.0ms
v
@0
(/ (sin v) (+ (* e (cos v)) 1))
2.0ms
v
@-inf
(/ (sin v) (+ (* e (cos v)) 1))
1.0ms
v
@0
(pow (/ (* e (sin v)) (+ (* e (cos v)) 1)) 1/2)
1.0ms
v
@0
(* e (* (+ (* (cos v) (neg e)) 1) (sin v)))

rewrite268.0ms (3.5%)

Memory
-18.3MiB live, 294.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 434×lower-fma.f32
4 430×lower-fma.f64
4 356×lower-*.f32
4 346×lower-*.f64
2 990×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02199
03994
112994
278092
0858392
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 009
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(cos.f64 v)
(sin.f64 v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(+.f64 e #s(literal 1 binary64))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(neg.f64 e)
(pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
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(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (neg.f64 (sin.f64 v)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(*.f64 (neg.f64 (sin.f64 v)) (*.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 e) (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)) e))
(*.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 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.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 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)))))
(*.f64 (/.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)))) #s(literal -1 binary64))) (*.f64 (sin.f64 v) (*.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) (neg.f64 e)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 e) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 e) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 v) e))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #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)))) #s(literal -1 binary64))) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #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)))) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) (/.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))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 e)) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (sqrt.f64 e))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (sin.f64 v) e))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 e #s(literal 1/4 binary64))) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 e #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) (neg.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))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) e) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (*.f64 (neg.f64 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))

simplify315.0ms (4.1%)

Memory
19.5MiB live, 465.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 472×lower-fma.f64
7 472×lower-fma.f32
6 462×lower-*.f64
6 462×lower-*.f32
2 476×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05084681
116494452
253824435
080644215
Stop Event
1×iter limit
1×node limit
Counts
276 → 270
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 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) (-.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 e e)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.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 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.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 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.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)))

eval165.0ms (2.1%)

Memory
16.1MiB live, 321.5MiB allocated
Compiler

Compiled 28 154 to 2 623 computations (90.7% saved)

prune170.0ms (2.2%)

Memory
-23.9MiB live, 268.6MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 374241 398
Fresh325
Picked235
Done000
Total1 379291 408
Accuracy
100.0%
Counts
1 408 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 e)) #s(literal 2 binary64))
▶68.9%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
21.1%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.9%
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
▶99.6%
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
49.9%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
49.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.7%
(-.f64 v (/.f64 v e))
49.8%
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
70.0%
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))))
69.8%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 e) #s(literal 2 binary64)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.1%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
50.0%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
73.6%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
49.2%
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
18.7%
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
45.4%
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
50.0%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
49.7%
(*.f64 v (-.f64 e (*.f64 e e)))
2.7%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
▶48.8%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
▶49.1%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
49.7%
(*.f64 e (-.f64 v (*.f64 e v)))
✓99.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓98.4%
(*.f64 e (sin.f64 v))
▶49.3%
(*.f64 e v)
Compiler

Compiled 765 to 471 computations (38.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize107.0ms (1.4%)

Memory
10.9MiB live, 166.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.7%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
✓accuracy76.1%
(sqrt.f64 (*.f64 e (sin.f64 v)))
✓accuracy100.0%
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓accuracy99.9%
(*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
✓accuracy99.7%
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
✓accuracy99.6%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
✓accuracy100.0%
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
✓accuracy99.9%
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
✓accuracy99.6%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy96.7%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.8%
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
Samples
45.0ms180×0valid
26.0ms76×0invalid
Compiler

Compiled 163 to 32 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 20.0ms (37.4% of total)
const: 7.0ms (13.1% of total)
ival-add: 6.0ms (11.2% of total)
ival-cos: 6.0ms (11.2% of total)
ival-div: 5.0ms (9.4% of total)
ival-sin: 5.0ms (9.4% of total)
ival-sqrt: 2.0ms (3.7% of total)
ival-pow2: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-0.3MiB live, 37.4MiB allocated
Counts
17 → 300
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 v))>
#<alt (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (cos.f64 v)>
#<alt (*.f64 e v)>
#<alt (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt (*.f64 v (*.f64 v #s(literal -1/6 binary64)))>
#<alt (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)>
#<alt (*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))>
#<alt (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))>
#<alt (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))>
#<alt (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))>
#<alt (sqrt.f64 (*.f64 e (sin.f64 v)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
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 (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt 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 (* -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)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1/6 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1/6 v)>
#<alt (* v (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* v (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* v (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* 1/120 (pow v 3))>
#<alt (* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (sqrt (* e v))>
#<alt (+ (sqrt (* e v)) (* -1/12 (sqrt (* e (pow v 5)))))>
#<alt (+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* 1/240 (sqrt (* e (pow v 3)))))))>
#<alt (+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* (pow v 2) (+ (* -1/288 (sqrt (/ e v))) (* 1/240 (sqrt (/ e v))))))))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* 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 (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* 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)>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
e
@0
(sqrt (* e (sin v)))
4.0ms
v
@inf
(* e (+ (* v (* v (* v -1/6))) v))
1.0ms
e
@0
(* e (+ (* v (* v (* v (+ (* (* v v) 1/120) -1/6)))) v))
1.0ms
e
@0
(* e (+ (* v (* v (* v -1/6))) v))
1.0ms
e
@inf
(/ e (+ (* e (cos v)) 1))

rewrite382.0ms (5%)

Memory
25.5MiB live, 492.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 580×lower-fma.f32
10 572×lower-fma.f64
6 368×lower-*.f32
6 350×lower-*.f64
3 116×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026111
050112
1177103
21092103
08830100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 572
Calls
Call 1
Inputs
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(cos.f64 v)
(*.f64 e v)
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v #s(literal -1/6 binary64))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(*.f64 e (sin.f64 v))
(sin.f64 v)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(neg.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))
(neg.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(neg.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(neg.f64 (/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(neg.f64 (/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.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 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (sin.f64 v))))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (sin.f64 v) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) #s(literal -1 binary64)))
(/.f64 (sin.f64 v) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(/.f64 (neg.f64 (sin.f64 v)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 v)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 v)) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e)))
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 e) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 v v) #s(literal 1/720 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(*.f64 (fma.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 v v) #s(literal 1/720 binary64))))))
(*.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal -1/120 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 e (sin.f64 v)))))
(fabs.f64 (sqrt.f64 (*.f64 e (sin.f64 v))))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(pow.f64 (*.f64 e (sin.f64 v)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 e (sin.f64 v))))
(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
(*.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 e))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))))
(*.f64 (pow.f64 (sqrt.f64 e) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) e) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 v)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 e))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 v)))))
(*.f64 (sqrt.f64 (sqrt.f64 e)) (sqrt.f64 (*.f64 (sin.f64 v) (sqrt.f64 e))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 v)) e)) (sqrt.f64 (sqrt.f64 (sin.f64 v))))
(exp.f64 (log.f64 (*.f64 e (sin.f64 v))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 e (sin.f64 v)))
(sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)))
(neg.f64 (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(pow.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 e (sin.f64 v)))))
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 v)) e))
(*.f64 (sqrt.f64 e) (*.f64 (sin.f64 v) (sqrt.f64 e)))
(*.f64 (sqrt.f64 e) (pow.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))
(*.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) (sqrt.f64 (*.f64 e (sin.f64 v)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 v)) e) (sqrt.f64 (sin.f64 v)))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) e) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 v)))
(*.f64 (*.f64 e #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v))))) (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))))
(*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))
(exp.f64 (log.f64 (*.f64 e (sin.f64 v))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 e (sin.f64 v)))
(sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)))
(neg.f64 (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(pow.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 e (sin.f64 v)))))
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 v)) e))
(*.f64 (sqrt.f64 e) (*.f64 (sin.f64 v) (sqrt.f64 e)))
(*.f64 (sqrt.f64 e) (pow.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))
(*.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) (sqrt.f64 (*.f64 e (sin.f64 v)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 v)) e) (sqrt.f64 (sin.f64 v)))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) e) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 v)))
(*.f64 (*.f64 e #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v))))) (sqrt.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))))
(*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 v))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))
(sqrt.f64 (*.f64 (sin.f64 v) (sin.f64 v)))
(sin.f64 v)
(neg.f64 (neg.f64 (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.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 (sin.f64 v) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sin.f64 v)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 v) (sin.f64 v)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (sin.f64 v)))
(*.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify381.0ms (5%)

Memory
14.6MiB live, 638.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 520×lower-fma.f64
11 520×lower-fma.f32
6 040×lower-*.f64
6 040×lower-*.f32
3 838×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03452903
110222872
231582818
081742667
Stop Event
1×iter limit
1×node limit
Counts
300 → 297
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))))
(/ 1 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
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 (* -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)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* -1/6 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 3))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1/6 v)
(* v (- (* 1/120 (pow v 2)) 1/6))
(* v (- (* 1/120 (pow v 2)) 1/6))
(* v (- (* 1/120 (pow v 2)) 1/6))
(* 1/120 (pow v 3))
(* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 3))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1/6 (pow v 2))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(sqrt (* e v))
(+ (sqrt (* e v)) (* -1/12 (sqrt (* e (pow v 5)))))
(+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* 1/240 (sqrt (* e (pow v 3)))))))
(+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* (pow v 2) (+ (* -1/288 (sqrt (/ e v))) (* 1/240 (sqrt (/ e v))))))))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* e (sin v)))
(sqrt (* 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 (* (sin v) (pow (sqrt -1) 2))))
(* -1 (* e (* (sin v) (pow (sqrt -1) 2))))
(* -1 (* e (* (sin v) (pow (sqrt -1) 2))))
(* -1 (* e (* (sin v) (pow (sqrt -1) 2))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* 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)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 e (*.f64 (sin.f64 v) (neg.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (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 e (*.f64 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 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.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 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 (*.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 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.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 #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.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 (*.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 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.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 #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.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 #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.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 #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.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 (*.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 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 (*.f64 e (cos.f64 v)) e))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(fma.f64 (*.f64 e e) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) 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 (neg.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (neg.f64 (cos.f64 v))) e)
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (/ 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)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
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(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(*.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(*.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(*.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/120 (pow v 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* 1/120 (pow v 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow v 2)) 1/6)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow v 2)) 1/6)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow v 2)) 1/6)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e v))
(sqrt.f64 (*.f64 e v))
(+ (sqrt (* e v)) (* -1/12 (sqrt (* e (pow v 5)))))
(fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 e (pow.f64 v #s(literal 5 binary64)))) (sqrt.f64 (*.f64 e v)))
(+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* 1/240 (sqrt (* e (pow v 3)))))))
(fma.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 e v)) (*.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 e (*.f64 v (*.f64 v v)))))) (sqrt.f64 (*.f64 e v)))
(+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* (pow v 2) (+ (* -1/288 (sqrt (/ e v))) (* 1/240 (sqrt (/ e v))))))))
(fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 (/.f64 e v)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 v v) #s(literal -1/12 binary64))) (sqrt.f64 (*.f64 e v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 e (sin.f64 v)))
(sqrt (* e (sin v)))
(sqrt.f64 (*.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 (* (sin v) (pow (sqrt -1) 2))))
(*.f64 e (sin.f64 v))
(* -1 (* e (* (sin v) (pow (sqrt -1) 2))))
(*.f64 e (sin.f64 v))
(* -1 (* e (* (sin v) (pow (sqrt -1) 2))))
(*.f64 e (sin.f64 v))
(* -1 (* e (* (sin v) (pow (sqrt -1) 2))))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v 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 e (*.f64 v v)) (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 (*.f64 v v) (*.f64 e (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))
(* 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 (*.f64 v 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 e (*.f64 v v)) (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 (*.f64 v v) (*.f64 e (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 (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (*.f64 v (*.f64 v 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 (*.f64 v (*.f64 v v)) (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)) 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)

eval106.0ms (1.4%)

Memory
-0.2MiB live, 228.5MiB allocated
Compiler

Compiled 19 185 to 2 141 computations (88.8% saved)

prune106.0ms (1.4%)

Memory
14.6MiB live, 214.5MiB allocated
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New89014904
Fresh81321
Picked235
Done033
Total90033933
Accuracy
100.0%
Counts
933 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
▶49.2%
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
68.7%
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 e)) #s(literal 2 binary64))
✓68.9%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
99.0%
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.2%
(/.f64 (-.f64 e (*.f64 (*.f64 e (cos.f64 v)) e)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
49.9%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
98.3%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
49.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.7%
(-.f64 v (/.f64 v e))
49.1%
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
49.2%
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.1%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
50.0%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
98.0%
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
49.2%
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
49.2%
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
▶49.2%
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
▶18.7%
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
45.4%
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
50.0%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
49.7%
(*.f64 v (-.f64 e (*.f64 e e)))
2.7%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
✓48.8%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
▶49.7%
(*.f64 e (-.f64 v (*.f64 e v)))
✓99.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
28.7%
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
✓98.4%
(*.f64 e (sin.f64 v))
✓49.3%
(*.f64 e v)
Compiler

Compiled 674 to 427 computations (36.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize117.0ms (1.5%)

Memory
-50.3MiB live, 130.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))
✓accuracy99.9%
(*.f64 e (*.f64 e e))
✓accuracy35.2%
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e)))
✓accuracy100.0%
(*.f64 e v)
✓accuracy99.7%
(*.f64 e (*.f64 v #s(literal -1/6 binary64)))
✓accuracy99.4%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy97.7%
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy99.9%
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
✓accuracy99.8%
(fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e)
✓accuracy99.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 e v))
✓accuracy100.0%
(-.f64 v (*.f64 e v))
✓accuracy100.0%
(*.f64 e (-.f64 v (*.f64 e v)))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
66.0ms256×0valid
Compiler

Compiled 169 to 32 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 20.0ms (41.7% of total)
ival-sin: 7.0ms (14.6% of total)
ival-div: 5.0ms (10.4% of total)
ival-cos: 5.0ms (10.4% of total)
ival-add: 4.0ms (8.3% of total)
const: 4.0ms (8.3% of total)
ival-sub: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)>
#<alt (cos.f64 v)>
#<alt (sin.f64 v)>
#<alt (*.f64 e v)>
#<alt (*.f64 e (-.f64 v (*.f64 e v)))>
#<alt (-.f64 v (*.f64 e v))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 e v))>
#<alt (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e)>
#<alt (*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))>
#<alt (fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt (*.f64 e (*.f64 v #s(literal -1/6 binary64)))>
#<alt (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e)))>
#<alt (*.f64 e (*.f64 e e))>
#<alt (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))>
#<alt (*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ 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 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt v>
#<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 v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v 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 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt v>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* -1 (* e v)))>
#<alt (* -1 (* e v))>
#<alt (* e (- (/ v e) v))>
#<alt (* e (- (/ v e) v))>
#<alt (* e (- (/ v e) v))>
#<alt (* -1 (* e v))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))>
#<alt (* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))>
#<alt (* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))>
#<alt (* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<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 (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<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 3))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (pow e 3))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 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) (+ 1 e))>
#<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 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
Calls

84 calls:

TimeVariablePointExpression
1.0ms
e
@0
(+ (* (* e (* v -1/6)) (* v v)) (* e v))
1.0ms
v
@-inf
(* e (- v (* e v)))
1.0ms
e
@inf
(+ (* v (* -1/6 (* e v))) e)
1.0ms
e
@0
(+ (* v (* -1/6 (* e v))) e)
0.0ms
e
@inf
(+ (* (* e (* v -1/6)) (* v v)) (* e v))

rewrite326.0ms (4.2%)

Memory
5.4MiB live, 480.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 114×lower-fma.f32
6 108×lower-fma.f64
5 166×lower-*.f32
5 144×lower-*.f64
4 064×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027121
052113
1182111
2123497
0850895
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 787
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos.f64 v)
(sin.f64 v)
(*.f64 e v)
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (*.f64 e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e)
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(*.f64 v #s(literal -1/6 binary64))
(*.f64 e (*.f64 v #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e)))
(*.f64 e (*.f64 e e))
(*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) (neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(neg.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) e))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #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)) (/.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))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
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(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(*.f64 (/.f64 v (*.f64 e (-.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 e (*.f64 e e)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e (*.f64 e e)) (neg.f64 e)) (/.f64 v (*.f64 e (-.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 e (*.f64 e e)) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e e))))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (neg.f64 v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 v #s(literal -1 binary64)))
(*.f64 (/.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (/.f64 v (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e (*.f64 e e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 v (/.f64 e (*.f64 e (*.f64 e e)))))
(*.f64 (/.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 v (/.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 v (/.f64 (*.f64 e (*.f64 e e)) (+.f64 e #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 v (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (neg.f64 v) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(*.f64 (*.f64 v (/.f64 e (-.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64))
(*.f64 (*.f64 v (/.f64 (*.f64 e (*.f64 e e)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 (*.f64 (/.f64 (*.f64 e (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 (*.f64 (/.f64 (*.f64 v e) e) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 v (/.f64 e (neg.f64 (*.f64 e (*.f64 e e))))))
(*.f64 (*.f64 (neg.f64 e) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (/.f64 v e))
(*.f64 (/.f64 (/.f64 (*.f64 e (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) e) (/.f64 v e))
(*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)) (/.f64 v (neg.f64 e)))
(*.f64 (/.f64 v e) (*.f64 (neg.f64 e) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 v e) (/.f64 (/.f64 (*.f64 e (*.f64 e e)) (+.f64 e #s(literal 1 binary64))) e))
(*.f64 (/.f64 (*.f64 v e) e) (/.f64 (neg.f64 (*.f64 e e)) (*.f64 e (-.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 v (neg.f64 e)) e) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (*.f64 v (neg.f64 e)) (-.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 v #s(literal -1 binary64)) e) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 v #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) e)) e)
(*.f64 (/.f64 (*.f64 v e) (*.f64 e e)) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 v e) (*.f64 e (-.f64 #s(literal -1 binary64) e))) (neg.f64 e))
(*.f64 (/.f64 (*.f64 v (neg.f64 e)) (*.f64 e e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (*.f64 v (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 e e) e))
(*.f64 (/.f64 (*.f64 v #s(literal -1 binary64)) (*.f64 e e)) (/.f64 (*.f64 e (*.f64 e e)) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (*.f64 v #s(literal -1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 e (*.f64 e e)) e))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 v (neg.f64 (*.f64 e e))) (/.f64 (*.f64 e (*.f64 e e)) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (/.f64 v (*.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e e)) e))
(*.f64 (/.f64 v (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))))
(*.f64 (/.f64 v (/.f64 (*.f64 e e) e)) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (*.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 e (*.f64 e e)) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) e)
(*.f64 (/.f64 v (/.f64 (*.f64 e (-.f64 #s(literal -1 binary64) e)) e)) (neg.f64 e))
(*.f64 (/.f64 v (*.f64 (*.f64 e (-.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))) (/.f64 (*.f64 e (*.f64 e e)) e))
(*.f64 (/.f64 v (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))) (/.f64 (*.f64 e e) e))
(*.f64 (/.f64 (*.f64 e (*.f64 e e)) #s(literal -1 binary64)) (/.f64 v (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))

simplify488.0ms (6.3%)

Memory
-13.5MiB live, 347.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 892×lower-fma.f64
7 892×lower-fma.f32
4 186×lower-*.f64
4 186×lower-*.f32
3 186×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02762773
18372660
222132625
363912612
081132489
Stop Event
1×iter limit
1×node limit
Counts
336 → 330
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
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)
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 v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
v
(+ v (* -1 (* e v)))
(+ v (* -1 (* e v)))
(+ v (* -1 (* e v)))
(* -1 (* e v))
(* e (- (/ v e) v))
(* e (- (/ v e) v))
(* e (- (/ v e) v))
(* -1 (* e v))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))
(* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))
(* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))
(* -1 (* e (+ (* -1 v) (* 1/6 (pow v 3)))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
(* -1/6 (* e v))
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)))
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(pow e 3)
(* -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 3))
(* -1 (* (pow e 3) (+ 1 (/ 1 e))))
(* -1 (* (pow e 3) (+ 1 (/ 1 e))))
(* -1 (* (pow e 3) (+ 1 (/ 1 e))))
(* -1 (pow e 3))
(* -1 (* (pow e 3) (+ 1 (/ 1 e))))
(* -1 (* (pow e 3) (+ 1 (/ 1 e))))
(* -1 (* (pow e 3) (+ 1 (/ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* 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 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))
Outputs
(/ (* e v) (+ 1 e))
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eval267.0ms (3.5%)

Memory
35.9MiB live, 184.9MiB allocated
Compiler

Compiled 25 940 to 2 185 computations (91.6% saved)

prune251.0ms (3.3%)

Memory
-17.3MiB live, 186.6MiB allocated
Pruning

50 alts after pruning (43 fresh and 7 done)

PrunedKeptTotal
New1 140291 169
Fresh81422
Picked415
Done066
Total1 152501 202
Accuracy
100.0%
Counts
1 202 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
68.7%
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 e)) #s(literal 2 binary64))
✓68.9%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
18.1%
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
99.0%
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.2%
(/.f64 (-.f64 e (*.f64 (*.f64 e (cos.f64 v)) e)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
39.0%
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
13.5%
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
98.3%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
49.9%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
49.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
98.3%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
49.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
44.6%
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
48.6%
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.1%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
50.0%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
44.0%
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
38.9%
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
13.3%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
37.0%
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
98.0%
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
13.1%
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
49.2%
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
44.1%
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
11.4%
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) e)))
5.9%
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
8.9%
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
18.0%
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
45.4%
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
18.5%
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
50.0%
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
49.7%
(*.f64 v (-.f64 e (*.f64 e e)))
✓48.8%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
✓49.7%
(*.f64 e (-.f64 v (*.f64 e v)))
✓99.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
18.7%
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
44.6%
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
49.2%
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
30.4%
(*.f64 e (*.f64 e (neg.f64 v)))
28.7%
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
✓98.4%
(*.f64 e (sin.f64 v))
✓49.3%
(*.f64 e v)
28.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
9.0%
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
Compiler

Compiled 1 890 to 721 computations (61.9% saved)

regimes143.0ms (1.9%)

Memory
-14.2MiB live, 74.9MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) 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 e (*.f64 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #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 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #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 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 e)) #s(literal 2 binary64))
(/.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 (-.f64 e (*.f64 (*.f64 e (cos.f64 v)) e)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (sqrt.f64 e)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 e) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3/4 binary64))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

73.0ms
e
46.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
20.0ms
v
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes237.0ms (3.1%)

Memory
1.1MiB live, 77.6MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) 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 e (*.f64 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #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 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
Outputs
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
Calls

3 calls:

190.0ms
e
28.0ms
v
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.3%1e
99.3%1v
99.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes86.0ms (1.1%)

Memory
23.8MiB live, 62.8MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) 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 e (*.f64 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #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 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
Calls

3 calls:

52.0ms
v
16.0ms
e
15.0ms
(/.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)

regimes78.0ms (1%)

Memory
1.4MiB live, 85.2MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) 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 e (*.f64 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
Outputs
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
Calls

3 calls:

45.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
e
15.0ms
v
Results
AccuracySegmentsBranch
98.8%1e
98.8%1v
98.8%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)

regimes49.0ms (0.6%)

Memory
-24.2MiB live, 94.1MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) 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 e (*.f64 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

17.0ms
e
16.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.4%1e
98.4%1v
98.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes46.0ms (0.6%)

Memory
1.0MiB live, 78.8MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 v (/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 v (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) e) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))) (*.f64 (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) 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 e (*.f64 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))) (*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal 1/6 binary64) e))))
(*.f64 (/.f64 (*.f64 e (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e) (/.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)) (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) (neg.f64 v))))
Outputs
(*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 e (*.f64 e (neg.f64 v)))
Calls

3 calls:

15.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
e
Results
AccuracySegmentsBranch
51.6%2v
50.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.0%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 e (*.f64 v v))))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e v)) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))) v)
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(*.f64 (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v) e)
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(fma.f64 (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) (*.f64 v v) (*.f64 e v))
(*.f64 v (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (neg.f64 e)) (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) e)
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)) (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 v (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))))
(*.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))
(*.f64 (/.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (*.f64 e e))))
(/.f64 (/.f64 v (*.f64 e e)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 e e))))
(*.f64 v (/.f64 (fma.f64 (*.f64 v (*.f64 e (*.f64 v e))) (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (neg.f64 (*.f64 e e))) (-.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e)))
(*.f64 v (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)))))
(*.f64 e (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v)) (-.f64 v (*.f64 v e))) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v e) (fma.f64 v e v) (*.f64 v v))))
Outputs
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
Calls

1 calls:

12.0ms
v
Results
AccuracySegmentsBranch
50.0%1v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-21.3MiB live, 18.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
Outputs
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
50.0%1e
50.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
Outputs
(*.f64 e (-.f64 v (*.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
49.7%1e
49.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.7%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total -13.2b remaining (-40.6%)

Threshold costs -13.2b (-40.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
Outputs
(*.f64 e v)
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
49.3%1e
49.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.3%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch23.0ms (0.3%)

Memory
-8.8MiB live, 33.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
990183.6497034037
524318762.70444685
Samples
15.0ms128×0valid
Compiler

Compiled 352 to 198 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 5.0ms (43.6% of total)
ival-cos: 4.0ms (34.9% of total)
ival-mult: 2.0ms (17.4% of total)
ival-div: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-21.0MiB live, 18.4MiB allocated
Algorithm
1×egg-herbie
Rules
50×*-commutative_binary64
48×unsub-neg_binary64
48×neg-mul-1_binary64
22×+-commutative_binary64
20×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044108
176108
295108
3114108
4126108
5135108
6166108
7217108
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 e (sin.f64 v))
(if (<=.f64 v #s(literal 2400000 binary64)) (*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e) (*.f64 e (*.f64 e (neg.f64 v))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 e (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))))
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 e (*.f64 (sin.f64 v) (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(if (<=.f64 v #s(literal 2400000 binary64)) (*.f64 (fma.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e) (*.f64 e (*.f64 e (neg.f64 v))))
(if (<=.f64 v #s(literal 2400000 binary64)) (*.f64 e (fma.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal -1 binary64) e)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) (*.f64 e (*.f64 v (neg.f64 e))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e v)
(*.f64 v e)

soundness972.0ms (12.6%)

Memory
-6.6MiB live, 854.6MiB allocated
Rules
12 770×lower-fma.f64
12 770×lower-fma.f32
7 892×lower-fma.f64
7 892×lower-fma.f32
7 472×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02762773
18372660
222132625
363912612
081132489
0169976
1502961
21450939
34586930
08073882
0921
01521
14221
224121
3210321
0837820
02199
03994
112994
278092
0858392
05084681
116494452
253824435
080644215
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 329 to 180 computations (45.3% saved)

preprocess72.0ms (0.9%)

Memory
-7.4MiB live, 189.6MiB allocated
Remove

(negabs v)

Compiler

Compiled 462 to 252 computations (45.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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