Trigonometry A

Time bar (total: 8.5s)

analyze7.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB 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)

sample1.2s (14.3%)

Memory
5.2MiB live, 1 571.3MiB allocated
Samples
939.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 761.0ms
ival-sin: 259.0ms (34% of total)
ival-cos: 160.0ms (21% of total)
ival-mult: 142.0ms (18.7% of total)
ival-<=: 69.0ms (9.1% of total)
ival-div: 67.0ms (8.8% of total)
ival-add: 39.0ms (5.1% of total)
ival-and: 11.0ms (1.4% of total)
exact: 10.0ms (1.3% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess74.0ms (0.9%)

Memory
11.8MiB live, 55.6MiB 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)

explain119.0ms (1.4%)

Memory
-1.8MiB live, 230.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
51.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 11.0ms (32.3% of total)
ival-cos: 10.0ms (29.4% of total)
ival-mult: 6.0ms (17.6% of total)
ival-div: 3.0ms (8.8% of total)
ival-add: 2.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize40.0ms (0.5%)

Memory
-11.1MiB live, 66.8MiB 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
24.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (35.8% of total)
ival-cos: 5.0ms (29.8% of total)
ival-mult: 3.0ms (17.9% of total)
ival-div: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB 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
@0
(* e (sin v))
1.0ms
e
@-inf
(* e (sin v))
1.0ms
v
@0
(* e (cos v))

rewrite325.0ms (3.8%)

Memory
16.7MiB live, 647.1MiB 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)))))
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(*.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.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))

simplify395.0ms (4.6%)

Memory
-7.7MiB live, 594.4MiB 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 (0.3%)

Memory
-20.0MiB live, 58.3MiB allocated
Compiler

Compiled 6 292 to 627 computations (90% saved)

prune29.0ms (0.3%)

Memory
23.1MiB live, 62.0MiB 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
71.5%
(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))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.9%
(/.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)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
51.5%
(*.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)))))
▶51.6%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
▶98.9%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
▶98.1%
(*.f64 e (sin.f64 v))
Compiler

Compiled 278 to 176 computations (36.7% saved)

simplify154.0ms (1.8%)

Memory
-15.4MiB live, 90.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff0
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Rules
1 544×lower-fma.f32
1 540×lower-fma.f64
1 112×lower-*.f32
1 102×lower-*.f64
682×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018121
035121
159121
293121
3193121
4471121
5767121
61004121
71261121
81468121
91877121
102604121
113097121
123140121
133167121
143187121
153191121
163191121
03191121
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
v
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
e
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
v
(neg.f64 e)
#s(literal 1 binary64)
(sin.f64 v)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
v
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (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))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
v
(neg.f64 e)
#s(literal 1 binary64)
(sin.f64 v)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)

localize75.0ms (0.9%)

Memory
-3.9MiB live, 113.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy100.0%
(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))
✓accuracy99.8%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Samples
47.0ms256×0valid
Compiler

Compiled 132 to 22 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 11.0ms (33.6% of total)
ival-div: 6.0ms (18.4% of total)
ival-sin: 6.0ms (18.4% of total)
ival-cos: 5.0ms (15.3% of total)
ival-add: 3.0ms (9.2% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-10.0MiB live, 30.3MiB allocated
Counts
13 → 252
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 v (/.f64 e (+.f64 e #s(literal 1 binary64))))>
#<alt (/.f64 e (+.f64 e #s(literal 1 binary64)))>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (*.f64 e (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 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
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 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 e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt 1>
#<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 (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
Calls

63 calls:

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

rewrite279.0ms (3.3%)

Memory
1.2MiB live, 429.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 280×lower-fma.f32
4 276×lower-fma.f64
3 876×lower-*.f32
3 866×lower-*.f64
3 122×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01881
03581
111281
271679
3790879
0850079
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 865
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 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(*.f64 e (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)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (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 v 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 v v)))))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (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 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 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 (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
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(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 e (*.f64 (neg.f64 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.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 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (*.f64 (neg.f64 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (+.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 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 e (*.f64 (neg.f64 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 e (*.f64 (neg.f64 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))

simplify432.0ms (5.1%)

Memory
21.1MiB live, 815.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 880×lower-fma.f64
11 880×lower-fma.f32
6 214×lower-*.f64
6 214×lower-*.f32
4 892×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04203597
113633422
242523305
087193122
Stop Event
1×iter limit
1×node limit
Counts
252 → 246
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))

eval386.0ms (4.5%)

Memory
-132.9MiB live, 409.6MiB allocated
Compiler

Compiled 22 564 to 2 328 computations (89.7% saved)

prune164.0ms (1.9%)

Memory
-25.7MiB live, 416.8MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 170311 201
Fresh415
Picked235
Done000
Total1 176351 211
Accuracy
100.0%
Counts
1 211 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
▶99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
32.3%
(/.f64 (*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 e e))
66.9%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) e)
51.6%
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
98.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
51.5%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
71.4%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
53.0%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
▶53.1%
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
▶51.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.0%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
▶98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
50.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
98.9%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
51.1%
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
71.9%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
98.9%
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
50.8%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
23.5%
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
47.6%
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
51.5%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
51.1%
(*.f64 v (-.f64 e (*.f64 e e)))
2.5%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
50.6%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
50.8%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
75.0%
(*.f64 e (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))) (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))))
51.1%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.9%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.4%
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓98.1%
(*.f64 e (sin.f64 v))
▶50.8%
(*.f64 e v)
Compiler

Compiled 1 015 to 577 computations (43.2% saved)

simplify447.0ms (5.2%)

Memory
13.2MiB live, 526.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
✓cost-diff0
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓cost-diff64
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
✓cost-diff320
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓cost-diff384
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Rules
17 720×lower-fma.f32
17 712×lower-fma.f64
4 388×lower-+.f32
4 384×lower-+.f64
4 086×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023166
045164
182154
2175154
3419154
4693154
5903154
6996154
71157154
81386154
92288152
103067152
113653149
124403149
134619149
144644149
154654149
164664149
176659149
08527142
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
e
v
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
e
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
e
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 (sin.f64 v) e)
(sin.f64 v)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
(*.f64 v e)
e
v
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
e
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
e
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 (sin.f64 v) e)
(sin.f64 v)

localize102.0ms (1.2%)

Memory
-10.6MiB live, 145.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
✓accuracy99.7%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
✓accuracy100.0%
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
✓accuracy73.4%
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓accuracy99.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
Samples
63.0ms256×0valid
Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 10.0ms (22.6% of total)
ival-add: 10.0ms (22.6% of total)
ival-mult: 10.0ms (22.6% of total)
ival-sin: 6.0ms (13.6% of total)
ival-cos: 5.0ms (11.3% of total)
const: 3.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
8.9MiB live, 46.5MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 v) e)>
#<alt (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (cos.f64 v)>
#<alt (sin.f64 v)>
#<alt (*.f64 e v)>
#<alt (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))>
#<alt (/.f64 (+.f64 e #s(literal 1 binary64)) v)>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)>
#<alt (/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))>
#<alt (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))>
Outputs
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
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#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
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#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
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#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
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#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
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#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
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#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))>
#<alt 1>
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#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))>
#<alt 1/6>
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#<alt (* 1/6 e)>
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#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
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#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
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#<alt (/ 1 (* e (sin v)))>
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#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
Calls

72 calls:

TimeVariablePointExpression
4.0ms
v
@inf
(/ (+ (* e (cos v)) 1) (* (sin v) e))
1.0ms
e
@inf
(/ e (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v))
1.0ms
v
@inf
(/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v)
1.0ms
e
@0
(/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v)
1.0ms
v
@inf
(/ e (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v))

rewrite325.0ms (3.8%)

Memory
9.4MiB live, 413.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 594×lower-/.f32
4 580×lower-/.f64
4 314×lower-fma.f32
4 306×lower-fma.f64
3 998×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023108
045106
1194100
21527100
0839497
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 538
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(cos.f64 v)
(sin.f64 v)
(*.f64 e v)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+.f64 e #s(literal 1 binary64))
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (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))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.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 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) e)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (sin.f64 v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.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 (*.f64 (sin.f64 v) e) (/.f64 #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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.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 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.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 #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) (*.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 (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 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (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) #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 (neg.f64 (sin.f64 v)) (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(*.f64 (/.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))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(cos.f64 v)
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(sin.f64 v)
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 v e)
(*.f64 e v)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) v))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) v))
(neg.f64 (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 (neg.f64 e) (/.f64 (-.f64 #s(literal -1 binary64) e) v))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (*.f64 v e)) (-.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (/.f64 e (+.f64 e #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) v)))
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)) #s(literal -1 binary64))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) v))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))))
(*.f64 (neg.f64 e) (neg.f64 (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 v (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))))
(*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 e (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (neg.f64 v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 e (/.f64 #s(literal -1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 e (neg.f64 (/.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 e (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 v (+.f64 e #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v))
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(/.f64 (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (neg.f64 (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) e)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) (neg.f64 (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 -1 binary64))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) e))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #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 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 (*.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 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) e))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (sin.f64 v)))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))

simplify298.0ms (3.5%)

Memory
-12.0MiB live, 465.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 834×lower-*.f64
6 834×lower-*.f32
6 426×lower-fma.f64
6 426×lower-fma.f32
2 272×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04844104
115243983
249853951
081663672
Stop Event
1×iter limit
1×node limit
Counts
288 → 283
Calls
Call 1
Inputs
(* 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) (+ 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
(+ 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 (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
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(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))

eval106.0ms (1.2%)

Memory
39.1MiB live, 229.5MiB allocated
Compiler

Compiled 18 166 to 2 135 computations (88.2% saved)

prune110.0ms (1.3%)

Memory
-23.2MiB live, 291.0MiB allocated
Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New86916885
Fresh81927
Picked325
Done033
Total88040920
Accuracy
100.0%
Counts
920 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
✓99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.9%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
32.3%
(/.f64 (*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 e e))
66.9%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) e)
51.6%
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
▶5.9%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
71.4%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
53.1%
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
5.9%
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
▶52.4%
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
51.5%
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
53.1%
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
▶98.0%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
51.0%
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
5.0%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
2.0%
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
2.5%
(-.f64 v (/.f64 v e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
53.2%
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
51.1%
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
53.1%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
71.9%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
98.9%
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
50.8%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
47.6%
(*.f64 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
51.1%
(*.f64 v (-.f64 e (*.f64 e e)))
2.5%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
50.6%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
50.8%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
75.0%
(*.f64 e (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))) (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))))
52.4%
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶51.1%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.9%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.4%
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓98.1%
(*.f64 e (sin.f64 v))
✓50.8%
(*.f64 e v)
5.9%
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
Compiler

Compiled 1 290 to 702 computations (45.6% saved)

simplify206.0ms (2.4%)

Memory
-4.7MiB live, 239.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓cost-diff1088
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓cost-diff0
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
✓cost-diff128
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64)))
✓cost-diff384
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(-.f64 v (*.f64 e v))
✓cost-diff0
(*.f64 e (-.f64 v (*.f64 e v)))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
6 762×lower-fma.f32
6 754×lower-fma.f64
2 190×lower-*.f32
2 182×lower-*.f64
1 710×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
048139
187137
2171137
3332137
4530137
5826137
61310137
72059137
83995137
96263137
08016134
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e (-.f64 v (*.f64 e v)))
e
(-.f64 v (*.f64 e v))
v
(*.f64 e v)
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
v
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
e
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 e #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
e
(/.f64 #s(literal 1 binary64) (sin.f64 v))
#s(literal 1 binary64)
(sin.f64 v)
v
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
e
(-.f64 v (*.f64 e v))
(-.f64 v (*.f64 v e))
v
(*.f64 e v)
(*.f64 v e)
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
v
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
e
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(/.f64 (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) v)
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 v (*.f64 v e)) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64)))
(*.f64 e #s(literal -1/3 binary64))
#s(literal -1/2 binary64)
(*.f64 e #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (sin.f64 v) e)
e
(/.f64 #s(literal 1 binary64) (sin.f64 v))
#s(literal 1 binary64)
(sin.f64 v)
v

localize97.0ms (1.1%)

Memory
18.1MiB live, 138.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓accuracy99.5%
(*.f64 e #s(literal 1/6 binary64))
✓accuracy99.0%
(fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64)))
✓accuracy87.2%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓accuracy85.7%
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓accuracy73.4%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 v (*.f64 e v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(*.f64 e (-.f64 v (*.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
65.0ms256×0valid
Compiler

Compiled 170 to 31 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 12.0ms (24.2% of total)
ival-mult: 11.0ms (22.2% of total)
ival-sin: 7.0ms (14.1% of total)
const: 7.0ms (14.1% of total)
ival-add: 5.0ms (10.1% of total)
ival-cos: 5.0ms (10.1% of total)
ival-sub: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-9.1MiB live, 29.3MiB allocated
Counts
16 → 288
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 (-.f64 v (*.f64 e v)))>
#<alt (*.f64 e v)>
#<alt (-.f64 v (*.f64 e v))>
#<alt (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))>
#<alt (*.f64 v v)>
#<alt (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)>
#<alt (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64)))>
#<alt (*.f64 e #s(literal 1/6 binary64))>
#<alt (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 v))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ 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 (* -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 (* 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 (* 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 v>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* 1/9 (pow v 2))))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/9 (* 1/27 (pow v 2))))))))>
#<alt (/ -3 v)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))>
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow v 2)))) (pow v 2))) 3) v)>
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow v 2)))) (pow v 4))) (+ 3 (* 9 (/ 1 (pow v 2))))) v)>
#<alt (/ -3 v)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (/ 27 (pow v 4)))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (/ 27 (pow v 4))))) v))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (* -1/3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* -1/3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ 1 v)>
#<alt (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))>
#<alt (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))>
#<alt (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))>
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)>
#<alt (* e (+ (* -1/3 v) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* e (+ (* -1/3 v) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* e (+ (* -1/3 v) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))>
#<alt (* -1 (* e (- (* 1/3 v) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (* e (- (* 1/3 v) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (* e (- (* 1/3 v) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (* v (+ (* -1/2 e) (* 1/6 e)))>
#<alt (* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* v (+ (* -1/2 e) (* 1/6 e)))>
#<alt (* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))>
#<alt (+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))>
#<alt (+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ (* -1/2 e) (* 1/6 e)))>
#<alt (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/2 e) (* 1/6 e)))>
#<alt (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* e (pow v 2))))>
#<alt (+ 1 (* -1/3 (* e (pow v 2))))>
#<alt (+ 1 (* -1/3 (* e (pow v 2))))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* e (+ (* -1/3 (pow v 2)) (/ 1 e)))>
#<alt (* e (+ (* -1/3 (pow v 2)) (/ 1 e)))>
#<alt (* e (+ (* -1/3 (pow v 2)) (/ 1 e)))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* -1/3 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 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 (/ 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))>
Calls

72 calls:

TimeVariablePointExpression
6.0ms
e
@inf
(* e (- v (* e v)))
2.0ms
v
@inf
(* e (- v (* e v)))
1.0ms
e
@inf
(/ (+ e (+ (* (* v v) (+ (* e -1/2) (* e 1/6))) 1)) v)
1.0ms
v
@-inf
(* e (- v (* e v)))
0.0ms
e
@-inf
(/ (+ e (+ (* (* v v) (+ (* e -1/2) (* e 1/6))) 1)) v)

rewrite500.0ms (5.9%)

Memory
17.2MiB live, 371.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 894×lower-fma.f32
7 886×lower-fma.f64
4 388×lower-*.f32
4 380×lower-*.f64
4 194×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02498
04689
119287
2143287
0844287
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 481
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 (-.f64 v (*.f64 e v)))
(*.f64 e v)
(-.f64 v (*.f64 e v))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64)))
(*.f64 e #s(literal 1/6 binary64))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.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) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (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)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 #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 e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (/.f64 #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)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.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 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 e))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e #s(literal -1 binary64)))
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(*.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)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (*.f64 e (neg.f64 (sin.f64 v))))
(neg.f64 (*.f64 e (neg.f64 (sin.f64 v))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 e (neg.f64 (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (*.f64 e #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(/.f64 (/.f64 #s(literal -1 binary64) (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 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 v) (sin.f64 v)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 v))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.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 -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))

simplify584.0ms (6.8%)

Memory
24.3MiB live, 374.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 998×lower-fma.f64
8 998×lower-fma.f32
5 120×lower-*.f64
5 120×lower-*.f32
3 642×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322390
19842345
227232301
376732293
081542163
Stop Event
1×iter limit
1×node limit
Counts
288 → 285
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 (* -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))))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* v (- 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))))
v
(* v (+ 1 (* 1/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* 1/9 (pow v 2))))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/9 (* 1/27 (pow v 2))))))))
(/ -3 v)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow v 2)))) (pow v 2))) 3) v)
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow v 2)))) (pow v 4))) (+ 3 (* 9 (/ 1 (pow v 2))))) v)
(/ -3 v)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (/ 27 (pow v 4)))) v))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (/ 27 (pow v 4))))) v))
1
(+ 1 (* -1/3 (pow v 2)))
(+ 1 (* -1/3 (pow v 2)))
(+ 1 (* -1/3 (pow v 2)))
(* -1/3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(* -1/3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ 1 v)
(+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))
(+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))
(+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v)
(* e (+ (* -1/3 v) (+ (/ 1 v) (/ 1 (* e v)))))
(* e (+ (* -1/3 v) (+ (/ 1 v) (/ 1 (* e v)))))
(* e (+ (* -1/3 v) (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))
(* -1 (* e (- (* 1/3 v) (+ (/ 1 v) (/ 1 (* e v))))))
(* -1 (* e (- (* 1/3 v) (+ (/ 1 v) (/ 1 (* e v))))))
(* -1 (* e (- (* 1/3 v) (+ (/ 1 v) (/ 1 (* e v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)
(* v (+ (* -1/2 e) (* 1/6 e)))
(* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))
(* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))
(* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))
(* v (+ (* -1/2 e) (* 1/6 e)))
(* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))
1
(+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))
(+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))
(+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 e)))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 e)))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
1
(+ 1 (* -1/3 (* e (pow v 2))))
(+ 1 (* -1/3 (* e (pow v 2))))
(+ 1 (* -1/3 (* e (pow v 2))))
(* -1/3 (* e (pow v 2)))
(* e (+ (* -1/3 (pow v 2)) (/ 1 e)))
(* e (+ (* -1/3 (pow v 2)) (/ 1 e)))
(* e (+ (* -1/3 (pow v 2)) (/ 1 e)))
(* -1/3 (* e (pow v 2)))
(* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))
(* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))
(* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* -1/3 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ 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))
Outputs
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 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 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) (+.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 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 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 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/.f64 (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))) v)
(/.f64 (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) v)
(* v (+ (* -1/2 e) (* 1/6 e)))
(*.f64 (*.f64 e v) #s(literal -1/3 binary64))
(* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v)))))
(* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v)))))
(* v (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v)))))
(* v (+ (* -1/2 e) (* 1/6 e)))
(*.f64 (*.f64 e v) #s(literal -1/3 binary64))
(* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v))))
(* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v))))
(* -1 (* v (+ (* -1 (+ (* -1/2 e) (* 1/6 e))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ (* -1/2 e) (* 1/6 e))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 e)))
(*.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 e)))
(*.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/3 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/3 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* -1/3 (* e (pow v 2)))
(*.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(* e (+ (* -1/3 (pow v 2)) (/ 1 e)))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* e (+ (* -1/3 (pow v 2)) (/ 1 e)))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* e (+ (* -1/3 (pow v 2)) (/ 1 e)))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) #s(literal 1 binary64))
(* -1/3 (* e (pow v 2)))
(*.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))
(fma.f64 (neg.f64 e) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))
(fma.f64 (neg.f64 e) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* -1 (* e (- (* 1/3 (pow v 2)) (/ 1 e))))
(fma.f64 (neg.f64 e) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* -1/3 e)
(*.f64 e #s(literal -1/3 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 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 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (fma.f64 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 v (*.f64 v #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))

eval195.0ms (2.3%)

Memory
-15.6MiB live, 137.4MiB allocated
Compiler

Compiled 15 711 to 2 016 computations (87.2% saved)

prune156.0ms (1.8%)

Memory
5.4MiB live, 214.7MiB allocated
Pruning

45 alts after pruning (37 fresh and 8 done)

PrunedKeptTotal
New80117818
Fresh102030
Picked235
Done055
Total81345858
Accuracy
100.0%
Counts
858 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
✓99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.9%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
32.3%
(/.f64 (*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 e e))
66.9%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) e)
51.6%
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
97.9%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.3%
(/.f64 (sin.f64 v) (*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓5.9%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
3.5%
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
53.1%
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
52.4%
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
70.4%
(/.f64 e (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
52.4%
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
51.5%
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
52.4%
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
52.4%
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
51.5%
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
53.1%
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
51.8%
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
50.7%
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
✓98.0%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
51.0%
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
3.5%
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
46.7%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
5.0%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
3.6%
(/.f64 #s(literal -3 binary64) v)
2.0%
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
70.5%
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
53.2%
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
51.1%
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
53.1%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
98.9%
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
50.8%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
50.6%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
50.8%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
52.4%
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓51.1%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.9%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.4%
(*.f64 e (*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
28.3%
(*.f64 e (*.f64 e (neg.f64 v)))
✓98.1%
(*.f64 e (sin.f64 v))
✓50.8%
(*.f64 e v)
Compiler

Compiled 1 797 to 710 computations (60.5% saved)

regimes65.0ms (0.8%)

Memory
10.3MiB live, 89.7MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.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 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) e)
(/.f64 (*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 e e))
(/.f64 e (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(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 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(/.f64 (sin.f64 v) (*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
(*.f64 e (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))) (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

22.0ms
v
21.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
19.0ms
e
Results
AccuracySegmentsBranch
99.8%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)

regimes54.0ms (0.6%)

Memory
-28.1MiB live, 88.1MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.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 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
Outputs
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
Calls

3 calls:

19.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
16.0ms
e
16.0ms
v
Results
AccuracySegmentsBranch
98.9%1e
98.9%1v
98.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes50.0ms (0.6%)

Memory
11.0MiB live, 91.2MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.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 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.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:

17.0ms
v
16.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.9%1e
98.9%1v
98.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.6%)

Memory
-9.9MiB live, 109.2MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.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 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
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
98.9%1e
98.9%1v
98.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes44.0ms (0.5%)

Memory
21.9MiB live, 100.1MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.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))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))) e)
Calls

3 calls:

15.0ms
v
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
e
Results
AccuracySegmentsBranch
98.9%1v
98.9%1e
98.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes45.0ms (0.5%)

Memory
-31.0MiB live, 95.1MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.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:

16.0ms
v
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
13.0ms
e
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)

regimes41.0ms (0.5%)

Memory
10.9MiB live, 89.1MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

14.0ms
e
13.0ms
v
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.1%1e
98.1%1v
98.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes41.0ms (0.5%)

Memory
8.1MiB live, 88.6MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v)))))
(/.f64 e (fma.f64 e (*.f64 v #s(literal -1/3 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (fma.f64 v (*.f64 v (*.f64 e #s(literal 1/6 binary64))) #s(literal 1 binary64)))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))) e)))))
(/.f64 e (/.f64 (+.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) v))
(/.f64 e (fma.f64 e (fma.f64 v #s(literal -1/3 binary64) (*.f64 v (/.f64 #s(literal 1/6 binary64) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 e #s(literal -2/3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 e #s(literal -2/3 binary64))) #s(literal 1 binary64))) v))
(*.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)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))))
(*.f64 (/.f64 e (*.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
Outputs
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
Calls

3 calls:

13.0ms
e
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
Results
AccuracySegmentsBranch
53.2%1e
53.2%1v
53.2%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)

regimes23.0ms (0.3%)

Memory
13.0MiB live, 52.2MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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 v (/.f64 (neg.f64 (*.f64 e e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

3 calls:

8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
7.0ms
e
7.0ms
v
Results
AccuracySegmentsBranch
52.4%1v
52.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.4%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory
1.2MiB live, 40.5MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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 e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 (*.f64 e v) #s(literal -1/3 binary64)))
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
Outputs
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

6.0ms
e
5.0ms
v
5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
51.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.6%1v
51.6%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory
-20.2MiB live, 21.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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:

4.0ms
e
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
Results
AccuracySegmentsBranch
51.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.1%1e
51.1%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Accuracy

Total -31.1b remaining (-98.9%)

Threshold costs -31.1b (-98.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) 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))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
50.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.8%1e
50.8%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify9.0ms (0.1%)

Memory
-20.4MiB live, 19.1MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
18×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042106
172106
290106
399106
4105106
5107106
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)))
(*.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))
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.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 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.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) e) (fma.f64 e #s(literal 1 binary64) #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)
(*.f64 (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) v)
(*.f64 v (/.f64 e (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #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)

soundness1.0s (11.9%)

Memory
20.8MiB live, 892.1MiB allocated
Rules
12 770×lower-fma.f64
12 770×lower-fma.f32
11 880×lower-fma.f64
11 880×lower-fma.f32
6 834×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169976
1502961
21450939
34586930
08073882
04203597
113633422
242523305
087193122
01881
03581
111281
271679
3790879
0850079
04844104
115243983
249853951
081663672
023108
045106
1194100
21527100
0839497
0921
01521
14221
224121
3210321
0837820
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 432 to 234 computations (45.8% saved)

preprocess119.0ms (1.4%)

Memory
-1.4MiB live, 172.8MiB allocated
Remove

(negabs v)

Compiler

Compiled 458 to 244 computations (46.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...