Trigonometry A

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Algorithm
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)

sample1.4s (21.1%)

Memory
21.4MiB live, 2 032.4MiB allocated; 288ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 807.0ms
ival-cos: 266.0ms (33% of total)
ival-sin: 223.0ms (27.6% of total)
ival-mult: 123.0ms (15.2% of total)
ival-add: 76.0ms (9.4% of total)
ival-div: 47.0ms (5.8% of total)
ival-<=: 42.0ms (5.2% of total)
ival-and: 13.0ms (1.6% of total)
exact: 11.0ms (1.4% of total)
ival-assert: 4.0ms (0.5% of total)
adjust: 3.0ms (0.4% of total)
Bogosity

explain191.0ms (3%)

Memory
14.3MiB live, 202.1MiB allocated; 19ms collecting garbage
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
67.0ms512×0valid
Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-sin: 27.0ms (52.4% of total)
ival-cos: 11.0ms (21.4% of total)
ival-mult: 7.0ms (13.6% of total)
ival-div: 3.0ms (5.8% of total)
ival-add: 2.0ms (3.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess197.0ms (3.1%)

Memory
5.3MiB live, 211.1MiB allocated; 80ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
17657
216455
330855
456955
5114655
6262755
7535255
0911
01511
13211
24911
38411
417211
543511
6111611
7248311
8497611
0806110
Stop Event
iter limit
node limit
iter limit
node limit
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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
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 11 to 9 computations (18.2% saved)

simplify135.0ms (2.1%)

Memory
-34.0MiB live, 71.6MiB allocated; 11ms collecting garbage
Algorithm
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-diff1
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
13232
24932
38432
417232
543532
6111632
7248332
8497632
0806130
Stop Event
iter limit
node limit
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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(cos.f64 v)

localize35.0ms (0.6%)

Memory
11.0MiB live, 53.5MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 v)
accuracy0.029628759768442016
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.1328125
(*.f64 e (sin.f64 v))
accuracy0.13671875
(*.f64 e (cos.f64 v))
Samples
29.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 9.0ms (42.6% of total)
ival-sin: 6.0ms (28.4% of total)
ival-mult: 3.0ms (14.2% of total)
ival-div: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-14.1MiB live, 28.9MiB allocated; 8ms collecting garbage
Counts
6 → 41
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
1
(+ 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))))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(/ (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)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -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 (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* 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 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)))))))
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))))
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))))))
(+ 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)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
(cos v)
Calls

6 calls:

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

simplify189.0ms (3%)

Memory
-2.8MiB live, 289.0MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195841
1643829
22192788
37356761
08175705
Stop Event
iter limit
node limit
Counts
41 → 39
Calls
Call 1
Inputs
1
(+ 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))))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(/ (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)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -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 (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* 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 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)))))))
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))))
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))))))
(+ 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)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
(cos v)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e)
(* 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 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 3 binary64)) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 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 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (cos.f64 v))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* 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))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* 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))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64)) e (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64)) e (*.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -1/120 binary64) e (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (*.f64 v v) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))) v)
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64))) (*.f64 v v) #s(literal 1 binary64))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(sin v)
(sin.f64 v)
(cos v)
(cos.f64 v)

rewrite201.0ms (3.1%)

Memory
49.1MiB live, 234.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
14929
225629
3219529
0977127
Stop Event
iter limit
node limit
iter limit
Counts
6 → 337
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) (neg.f64 (cos.f64 v)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 v))))
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v))))))
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 (cos.f64 v)) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (neg.f64 (cos.f64 v)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))))
(/.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v))))))
(fma.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64) (cos.f64 v))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64) (cos.f64 v))
(fma.f64 #s(literal 0 binary64) (sin.f64 v) (cos.f64 v))
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (cos.f64 v))
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))))
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v))
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))))
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v)))
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (neg.f64 (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (cos.f64 v))))
(-.f64 (/.f64 (cos.f64 v) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 v)) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v))))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v))))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (cos.f64 v))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) (cos.f64 v))
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (cos.f64 v))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v))
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))))
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v)))

eval49.0ms (0.8%)

Memory
-1.4MiB live, 87.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 11 071 to 1 375 computations (87.6% saved)

prune12.0ms (0.2%)

Memory
-43.2MiB live, 18.8MiB allocated; 6ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3658373
Fresh000
Picked101
Done000
Total3668374
Accuracy
99.8%
Counts
374 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
98.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 336 to 232 computations (31% saved)

simplify121.0ms (1.9%)

Memory
45.9MiB live, 136.1MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
cost-diff0
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 e (+.f64 #s(literal 1 binary64) e))
cost-diff0
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040315
067310
1119310
2250310
3769310
42866310
57169310
08682310
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(neg.f64 e)
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(sin.f64 v)
v
(/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
e
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(neg.f64 e)
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v)))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))
(sin.f64 v)
v
(/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))
e
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(cos.f64 v)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))

localize107.0ms (1.7%)

Memory
-17.4MiB live, 126.0MiB allocated; 11ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
accuracy0.13671875
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
accuracy0.13671875
(*.f64 (cos.f64 v) e)
accuracy0.13708881837909415
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
accuracy0.01171875
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
accuracy0.029628759768442016
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
accuracy0.12109375
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
accuracy0.1328125
(*.f64 e (sin.f64 v))
accuracy0.0
(sin.f64 v)
accuracy0.029628759768442016
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy0.1328125
(*.f64 e (sin.f64 v))
accuracy0.7728433819206193
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy0.0
(+.f64 #s(literal 1 binary64) e)
accuracy0.0234375
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
accuracy0.03125
(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy32.979855367099
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
accuracy0.0
(sin.f64 v)
accuracy0.00390625
(cos.f64 v)
accuracy0.02734375
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.1484375
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Samples
83.0ms256×0valid
Compiler

Compiled 287 to 35 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 25.0ms (40.5% of total)
ival-div: 9.0ms (14.6% of total)
ival-sin: 6.0ms (9.7% of total)
ival-cos: 5.0ms (8.1% of total)
ival-pow: 5.0ms (8.1% of total)
ival-add: 4.0ms (6.5% of total)
ival-sub: 3.0ms (4.9% of total)
ival-pow2: 2.0ms (3.2% of total)
ival-neg: 2.0ms (3.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.9%)

Memory
-14.9MiB live, 75.6MiB allocated; 8ms collecting garbage
Counts
22 → 133
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(cos.f64 v)
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
(*.f64 (cos.f64 v) e)
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
Outputs
(* 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)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(+ 1 e)
(* e (+ (sin v) (* e (- (* -1 (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (+ (* -1 (* (cos v) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))) (* -1 (* (cos v) (+ (* -1 (* (pow (cos v) 2) (sin v))) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))))))) (+ (* -1 (* (pow (cos v) 2) (sin v))) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v)))))
(* e (+ (sin v) (* (pow e 2) (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* e (+ (* -1 (* (pow (cos v) 3) (sin v))) (* e (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* (pow e 3) (pow (cos v) 3))
(* e (cos v))
(* (pow e 2) (pow (cos v) 2))
(/ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* e (+ (cos v) (/ 1 e)))
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)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(- (+ (* -1 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* -1 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 5)))) (pow e 2))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* -1 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 5)))) (cos v))) (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 6))) (pow e 3))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (* -1 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (* (pow e 2) (pow (cos v) 5)))) (/ (sin v) (* e (pow (cos v) 2))))))
(* (pow e 2) (* (cos v) (sin v)))
(* (pow e 2) (+ (* (cos v) (sin v)) (/ (sin v) (* (pow e 2) (cos v)))))
(* (pow e 2) (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 2)))) (* (cos v) (sin v))) (* -1 (/ (sin v) (* (pow e 2) (cos v))))))
(* (pow e 2) (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 2)))) (+ (* (cos v) (sin v)) (/ (sin v) (* (pow e 4) (pow (cos v) 3))))) (* -1 (/ (sin v) (* (pow e 2) (cos v))))))
(* -1 (/ (sin v) (* e (pow (cos v) 2))))
(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (* (pow e 4) (pow (cos v) 6))))) e)
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(+ (* -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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ (sin v) (pow (cos v) 3)) (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 5))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 4))) e)) (+ (/ (sin v) (pow (cos v) 3)) (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 5)))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* (pow e 2) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 2)))) (+ (* (cos v) (sin v)) (/ (sin v) (* (pow e 2) (cos v))))))
(* (pow e 2) (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) (pow e 3))) (+ (* (cos v) (sin v)) (/ (sin v) (* (pow e 2) (cos v))))))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2)))) e))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))))) e))
(/ (* 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))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* 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 (* v (- 1 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (/ (* e (- 1 (pow e 3))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -7/8 (pow e 3)) (+ (* -1/4 (pow e 3)) (* 1/120 (- 1 (pow e 3)))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (+ (/ (* e (* (+ (* -1/3 (* (pow e 2) (+ 1 (* e (+ 1 e))))) (+ (* e (* (+ (* 1/24 e) (+ (* 1/24 (+ 1 e)) (* 1/4 e))) (- 1 (pow e 2)))) (* (pow e 3) (+ (* -1/2 e) (* -1/2 (+ 1 e)))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))) (/ (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (/ (* e (- 1 (pow e 3))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 (pow e 3))) (+ (* 1/80 (pow e 3)) (+ (* 7/48 (pow e 3)) (* 61/240 (pow e 3)))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (+ (/ (* e (* (+ (* -1/3 (* (pow e 3) (+ (* -1/2 e) (* -1/2 (+ 1 e))))) (+ (* 2/45 (* (pow e 2) (+ 1 (* e (+ 1 e))))) (+ (* e (* (+ (* -1/24 e) (+ (* -1/720 e) (* -1/720 (+ 1 e)))) (- 1 (pow e 2)))) (* (pow e 3) (+ (* 1/24 e) (+ (* 1/24 (+ 1 e)) (* 1/4 e))))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))) (+ (/ (* (+ (* -1/3 (* (pow e 2) (+ 1 (* e (+ 1 e))))) (+ (* e (* (+ (* 1/24 e) (+ (* 1/24 (+ 1 e)) (* 1/4 e))) (- 1 (pow e 2)))) (* (pow e 3) (+ (* -1/2 e) (* -1/2 (+ 1 e)))))) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (/ (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- (/ (* e (+ (* -7/8 (pow e 3)) (+ (* -1/4 (pow e 3)) (* 1/120 (- 1 (pow e 3)))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (+ (/ (* e (* (+ (* -1/3 (* (pow e 2) (+ 1 (* e (+ 1 e))))) (+ (* e (* (+ (* 1/24 e) (+ (* 1/24 (+ 1 e)) (* 1/4 e))) (- 1 (pow e 2)))) (* (pow e 3) (+ (* -1/2 e) (* -1/2 (+ 1 e)))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))) (/ (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))))))) (/ (* e (+ (* -7/8 (pow e 3)) (+ (* -1/4 (pow e 3)) (* 1/120 (- 1 (pow e 3)))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))) (+ (/ (* e (* (+ (* -1/3 (* (pow e 2) (+ 1 (* e (+ 1 e))))) (+ (* e (* (+ (* 1/24 e) (+ (* 1/24 (+ 1 e)) (* 1/4 e))) (- 1 (pow e 2)))) (* (pow e 3) (+ (* -1/2 e) (* -1/2 (+ 1 e)))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))) (/ (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2)))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))) (/ (* e (* (+ (* e (* (+ (* -1/2 e) (* -1/2 (+ 1 e))) (- 1 (pow e 2)))) (* (pow e 2) (+ 1 (* e (+ 1 e))))) (- 1 (pow e 3)))) (* (pow (+ 1 (* e (+ 1 e))) 2) (pow (- 1 (pow e 2)) 2))))) (/ (* e (- 1 (pow e 3))) (* (+ 1 (* e (+ 1 e))) (- 1 (pow e 2))))))
(/ (* e (* v (- 1 (pow e 3)))) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 (pow e 3))) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -7/8 (pow e 3)) (+ (* -1/4 (pow e 3)) (* 1/120 (- 1 (pow e 3)))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 (pow e 3))) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 (pow e 3))) (+ (* 1/80 (pow e 3)) (+ (* 7/48 (pow e 3)) (* 61/240 (pow e 3)))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -7/8 (pow e 3)) (+ (* -1/4 (pow e 3)) (* 1/120 (- 1 (pow e 3)))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -7/8 (pow e 3)) (+ (* -1/4 (pow e 3)) (* 1/120 (- 1 (pow e 3)))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 (pow e 3))) (* 3/2 (pow e 3)))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 (pow e 3))) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 (pow e 3))) (- 1 (pow e 2)))))
(/ (* e v) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(+ 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)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(pow e 3)
(+ (* -3/2 (* (pow e 3) (pow v 2))) (pow e 3))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* 7/8 (* (pow e 3) (pow v 2))))) (pow e 3))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* (pow v 2) (+ (* -61/240 (* (pow e 3) (pow v 2))) (* 7/8 (pow e 3)))))) (pow e 3))
(+ 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))))))
(pow e 2)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (* e (* (sin v) (- 1 (* (pow e 3) (pow (cos v) 3))))) (* (+ 1 (* e (* (cos v) (+ 1 (* e (cos v)))))) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/ (* e (* (sin v) (- 1 (* (pow e 3) (pow (cos v) 3))))) (- 1 (* (pow e 2) (pow (cos v) 2))))
(/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2))))
(cos v)
Calls

6 calls:

TimeVariablePointExpression
15.0ms
v
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (+ (* (+ (* (cos v) e) 1) (* (cos v) e)) 1)) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)) (pow (* (cos v) e) 3) (* (cos v) e) (pow (* (cos v) e) 2))
11.0ms
v
@0
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (+ (* (+ (* (cos v) e) 1) (* (cos v) e)) 1)) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)) (pow (* (cos v) e) 3) (* (cos v) e) (pow (* (cos v) e) 2))
8.0ms
e
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (+ (* (+ (* (cos v) e) 1) (* (cos v) e)) 1)) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)) (pow (* (cos v) e) 3) (* (cos v) e) (pow (* (cos v) e) 2))
8.0ms
e
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (+ (* (+ (* (cos v) e) 1) (* (cos v) e)) 1)) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)) (pow (* (cos v) e) 3) (* (cos v) e) (pow (* (cos v) e) 2))
7.0ms
v
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (+ (* (+ (* (cos v) e) 1) (* (cos v) e)) 1)) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (- 1 (pow (* (cos v) e) 3))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)) (pow (* (cos v) e) 3) (* (cos v) e) (pow (* (cos v) e) 2))

simplify162.0ms (2.5%)

Memory
22.1MiB live, 161.5MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07305182
124764966
087174726
Stop Event
iter limit
node limit
Counts
133 → 131
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(+ 1 e)
(* e (+ (sin v) (* e (- (* -1 (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (+ (* -1 (* (cos v) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))) (* -1 (* (cos v) (+ (* -1 (* (pow (cos v) 2) (sin v))) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))))))) (+ (* -1 (* (pow (cos v) 2) (sin v))) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v)))))
(* e (+ (sin v) (* (pow e 2) (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* e (+ (* -1 (* (pow (cos v) 3) (sin v))) (* e (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* (pow e 3) (pow (cos v) 3))
(* e (cos v))
(* (pow e 2) (pow (cos v) 2))
(/ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* e (+ (cos v) (/ 1 e)))
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)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(- (+ (* -1 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* -1 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 5)))) (pow e 2))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* -1 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 5)))) (cos v))) (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (pow (cos v) 6))) (pow e 3))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (* -1 (/ (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))) (* (pow e 2) (pow (cos v) 5)))) (/ (sin v) (* e (pow (cos v) 2))))))
(* (pow e 2) (* (cos v) (sin v)))
(* (pow e 2) (+ (* (cos v) (sin v)) (/ (sin v) (* (pow e 2) (cos v)))))
(* (pow e 2) (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 2)))) (* (cos v) (sin v))) (* -1 (/ (sin v) (* (pow e 2) (cos v))))))
(* (pow e 2) (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 2)))) (+ (* (cos v) (sin v)) (/ (sin v) (* (pow e 4) (pow (cos v) 3))))) (* -1 (/ (sin v) (* (pow e 2) (cos v))))))
(* -1 (/ (sin v) (* e (pow (cos v) 2))))
(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (* (pow e 4) (pow (cos v) 6))))) e)
(* -1 (cos v))
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(/ (* e v) (- 1 (pow e 2)))
(*.f64 e (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
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(+ 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 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) v) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(* -1 (+ 1 (/ 1 e)))
(fma.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 v v)) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(pow e 3)
(pow.f64 e #s(literal 3 binary64))
(+ (* -3/2 (* (pow e 3) (pow v 2))) (pow e 3))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (pow.f64 e #s(literal 3 binary64)) (pow.f64 e #s(literal 3 binary64)))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* 7/8 (* (pow e 3) (pow v 2))))) (pow e 3))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 7/8 binary64) (pow.f64 e #s(literal 3 binary64))) v) v (*.f64 #s(literal -3/2 binary64) (pow.f64 e #s(literal 3 binary64)))) (*.f64 v v) (pow.f64 e #s(literal 3 binary64)))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* (pow v 2) (+ (* -61/240 (* (pow e 3) (pow v 2))) (* 7/8 (pow e 3)))))) (pow e 3))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -61/240 binary64) (pow.f64 e #s(literal 3 binary64))) v) v (*.f64 #s(literal 7/8 binary64) (pow.f64 e #s(literal 3 binary64)))) (*.f64 v v) (*.f64 #s(literal -3/2 binary64) (pow.f64 e #s(literal 3 binary64)))) (*.f64 v v) (pow.f64 e #s(literal 3 binary64)))
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)
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(pow e 2)
(*.f64 e e)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(fma.f64 (*.f64 (*.f64 (neg.f64 e) e) v) v (*.f64 e e))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
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(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 (*.f64 (*.f64 v v) e) e) (*.f64 #s(literal 1/3 binary64) (*.f64 e e))) v) v (*.f64 (neg.f64 e) e)) (*.f64 v v) (*.f64 e e))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/ (* e (* (sin v) (- 1 (* (pow e 3) (pow (cos v) 3))))) (* (+ 1 (* e (* (cos v) (+ 1 (* e (cos v)))))) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/.f64 (/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (sin.f64 v)) (fma.f64 (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (cos.f64 v)) e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))
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(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))
(/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))
(cos v)
(cos.f64 v)

rewrite191.0ms (3%)

Memory
-6.7MiB live, 231.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040231
067202
1233202
21439202
08636202
Stop Event
iter limit
node limit
iter limit
Counts
22 → 502
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(cos.f64 v)
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
(*.f64 (cos.f64 v) e)
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v)) (-.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (-.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 e (cos.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 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v)))
(*.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (neg.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (-.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (-.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (-.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) #s(literal 2 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 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (neg.f64 e) (sin.f64 v))) (*.f64 (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (*.f64 e (sin.f64 v))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sin.f64 v))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 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 6 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))))
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(exp.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (*.f64 (log.f64 e) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))

eval134.0ms (2.1%)

Memory
25.2MiB live, 267.8MiB allocated; 24ms collecting garbage
Compiler

Compiled 35 111 to 3 691 computations (89.5% saved)

prune49.0ms (0.8%)

Memory
-23.0MiB live, 67.6MiB allocated; 7ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New82021841
Fresh213
Picked235
Done000
Total82425849
Accuracy
99.8%
Counts
849 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))
41.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
70.8%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
97.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
48.1%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.0%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.1%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.0%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.2%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
48.4%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
97.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
98.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Compiler

Compiled 1 201 to 812 computations (32.4% saved)

simplify133.0ms (2.1%)

Memory
5.7MiB live, 102.9MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
cost-diff0
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
cost-diff0
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
cost-diff0
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff2
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
cost-diff0
(*.f64 e v)
cost-diff0
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
cost-diff0
(neg.f64 e)
cost-diff0
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
cost-diff0
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
cost-diff1
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049350
074350
1125350
2238350
3460343
4982343
51871343
63280343
76113343
08065331
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(neg.f64 e)
e
(*.f64 (cos.f64 v) (sin.f64 v))
(cos.f64 v)
v
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
e
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
#s(literal 1/120 binary64)
(*.f64 v v)
v
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))
(neg.f64 e)
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(neg.f64 e)
e
(*.f64 (cos.f64 v) (sin.f64 v))
(*.f64 (sin.f64 v) (cos.f64 v))
(cos.f64 v)
v
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 #s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v)) e) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
(*.f64 #s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v)) e)
e
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v)
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 v v)
v
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (+ 1 (* e (cos v))) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(neg.f64 e)
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)

localize169.0ms (2.6%)

Memory
24.0MiB live, 113.9MiB allocated; 7ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.029628759768442016
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
accuracy0.12109375
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))
accuracy0.1328125
(*.f64 e (sin.f64 v))
accuracy1.342656321580092
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))
accuracy0.1328125
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
accuracy0.15625
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
accuracy0.7728433819206193
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy33.31263696430262
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
accuracy0.0
(+.f64 #s(literal 1 binary64) e)
accuracy0.0
(*.f64 e v)
accuracy0.033535009768442016
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
accuracy32.979855367099
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
accuracy0.0
(*.f64 e v)
accuracy1.3918279802189308
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
accuracy32.979855367099
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
accuracy0.018778730164287515
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
accuracy0.1484375
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
accuracy0.21388627930532605
(*.f64 (cos.f64 v) (sin.f64 v))
accuracy0.6419215824985552
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
Samples
109.0ms256×0valid
Compiler

Compiled 218 to 38 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 55.0ms (60% of total)
ival-div: 9.0ms (9.8% of total)
ival-sin: 6.0ms (6.5% of total)
const: 6.0ms (6.5% of total)
ival-add: 5.0ms (5.5% of total)
ival-cos: 5.0ms (5.5% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
-21.2MiB live, 24.1MiB allocated; 3ms collecting garbage
Counts
23 → 87
Calls
Call 1
Inputs
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (cos.f64 v) (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))
Outputs
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (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) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(* -1 e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
1
(+ 1 e)
(+ 1 (* e (cos v)))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(/ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
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)))
e
(* e (+ 1 (/ 1 e)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin 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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(/ (* 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))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 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)))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* v (+ 1 (* -2/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(* 1/120 (pow v 2))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(* 1/120 (pow v 5))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (cos v) (sin v))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
e
@-inf
((+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (+ 1 e) (* (+ (* (- (* 1/120 (* v v)) 1/6) (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (+ 1 (* e (cos v))) (* 1/120 (* v v)) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e))))
4.0ms
v
@-inf
((+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (+ 1 e) (* (+ (* (- (* 1/120 (* v v)) 1/6) (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (+ 1 (* e (cos v))) (* 1/120 (* v v)) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e))))
4.0ms
v
@inf
((+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (+ 1 e) (* (+ (* (- (* 1/120 (* v v)) 1/6) (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (+ 1 (* e (cos v))) (* 1/120 (* v v)) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e))))
3.0ms
v
@0
((+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (+ 1 e) (* (+ (* (- (* 1/120 (* v v)) 1/6) (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (+ 1 (* e (cos v))) (* 1/120 (* v v)) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e))))
2.0ms
e
@inf
((+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (+ 1 e) (* (+ (* (- (* 1/120 (* v v)) 1/6) (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (+ 1 (* e (cos v))) (* 1/120 (* v v)) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e))))

simplify192.0ms (3%)

Memory
21.2MiB live, 121.4MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03821752
112781703
243491640
081271569
Stop Event
iter limit
node limit
Counts
87 → 85
Calls
Call 1
Inputs
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (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) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(* -1 e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
1
(+ 1 e)
(+ 1 (* e (cos v)))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(/ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
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)))
e
(* e (+ 1 (/ 1 e)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin 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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(/ (* 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))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 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)))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* v (+ 1 (* -2/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(* 1/120 (pow v 2))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(* 1/120 (pow v 5))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (cos v) (sin v))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
Outputs
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)
(* 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 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v))
(* -1 e)
(neg.f64 e)
(* e v)
(*.f64 v e)
(* e (+ v (* -1 (* e v))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* e (+ v (* e (- (* e v) v))))
(*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (neg.f64 v)) e v) e)
1
#s(literal 1 binary64)
(+ 1 e)
(-.f64 e #s(literal -1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) e)
(* -1 (* e (* (cos v) (sin v))))
(*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (* -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 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (sin v) (* e (cos v)))
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e)
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
e
(* e (+ 1 (/ 1 e)))
(-.f64 e #s(literal -1 binary64))
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (cos v))
(neg.f64 (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 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)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v))) (cos.f64 v)) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (neg.f64 e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (fma.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))))) e (*.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(/ v (+ 1 e))
(/.f64 v (-.f64 e #s(literal -1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 v (-.f64 e #s(literal -1 binary64))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (/.f64 v (-.f64 e #s(literal -1 binary64))))
(* 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))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 v) v) (+.f64 (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) #s(literal 1/5040 binary64)) (-.f64 e #s(literal -1 binary64))) (*.f64 (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/720 binary64))) (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (/.f64 v (-.f64 e #s(literal -1 binary64))))
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v e))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (-.f64 e #s(literal -1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (-.f64 e #s(literal -1 binary64)))
(* v (+ 1 (* -2/3 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) v) v) #s(literal 2/3 binary64)) v)
(* 1/120 (pow v 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
(* -1 (+ 1 (/ 1 e)))
(+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 v v)) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (-.f64 e #s(literal -1 binary64)))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (-.f64 e #s(literal -1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(* 1/120 (pow v 5))
(*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 v v))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 v v)))) (pow.f64 v #s(literal 5 binary64)))
(* (cos v) (sin v))
(*.f64 (cos.f64 v) (sin.f64 v))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1/120 binary64))) (pow.f64 v #s(literal 5 binary64)))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))

rewrite230.0ms (3.6%)

Memory
-13.9MiB live, 171.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049298
074298
1234298
21358298
08241287
Stop Event
iter limit
node limit
iter limit
Counts
23 → 184
Calls
Call 1
Inputs
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (cos.f64 v) (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))
Outputs
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)))) (*.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v)) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v)))) (+.f64 (sin.f64 v) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)))) (+.f64 (sin.f64 v) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v))))) (+.f64 (sin.f64 v) (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (fma.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (sin.f64 v) (fma.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v)) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (neg.f64 e))) (sin.f64 v))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (sin.f64 v) (fma.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)) (*.f64 (sin.f64 v) (*.f64 (neg.f64 (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v))) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (sin.f64 v) (fma.f64 (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 (sin.f64 v) (*.f64 (neg.f64 (neg.f64 e)) (*.f64 (cos.f64 v) (sin.f64 v)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (sin.f64 v) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)))))
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(*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 e (neg.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))
(neg.f64 (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) e))

eval84.0ms (1.3%)

Memory
-0.9MiB live, 44.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 11 882 to 1 424 computations (88% saved)

prune26.0ms (0.4%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New28512297
Fresh51217
Picked145
Done033
Total29131322
Accuracy
99.9%
Counts
322 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))
41.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
70.8%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
97.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
98.4%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))))))
48.0%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.1%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
47.1%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
48.0%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.2%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
63.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))))) e)
74.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))))) e)
73.9%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) e)
48.4%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
98.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
97.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
47.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
98.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e))) e)
48.1%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Compiler

Compiled 1 829 to 1 050 computations (42.6% saved)

simplify171.0ms (2.7%)

Memory
-38.4MiB live, 108.8MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
cost-diff1
(+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))
cost-diff1
(*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
cost-diff0
(sin.f64 v)
cost-diff0
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
cost-diff0
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
cost-diff0
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
cost-diff0
#s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
cost-diff0
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
cost-diff0
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
cost-diff0
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
cost-diff0
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) 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
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
cost-diff0
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056438
088438
1146432
2254432
3509429
41075426
52181424
64192424
77506424
08115415
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.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))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
v
(neg.f64 e)
e
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
v
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
#s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v)
(-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))
(*.f64 #s(literal 2/3 binary64) e)
#s(literal 2/3 binary64)
e
#s(literal 1/6 binary64)
v
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
(sin.f64 v)
v
e
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))))
(*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
(neg.f64 e)
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(cos.f64 v)
#s(literal 2 binary64)
(pow.f64 e #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))
(pow.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (cos.f64 v))
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
(neg.f64 e)
e
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
v
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
#s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v)
(-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))
(*.f64 #s(literal 2/3 binary64) e)
#s(literal 2/3 binary64)
e
#s(literal 1/6 binary64)
v
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
(sin.f64 v)
v
e
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 e (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 e (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))))
(*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
(*.f64 (/.f64 e (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))
(neg.f64 e)
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(cos.f64 v)
#s(literal 2 binary64)
(pow.f64 e #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))
(-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (cos.f64 v))

localize161.0ms (2.5%)

Memory
28.8MiB live, 168.1MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
accuracy0.1328125
(*.f64 e (sin.f64 v))
accuracy0.236660009768442
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
accuracy27.93564446204196
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
accuracy0.0
(sin.f64 v)
accuracy0.1484375
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
accuracy1.3581988190006091
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
accuracy0.328125
(*.f64 #s(literal 2/3 binary64) e)
accuracy0.37109375
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v)
accuracy0.6419215824985552
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
accuracy33.175386066421154
#s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
accuracy0.0234375
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
accuracy0.6967756403095624
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
accuracy32.979855367099
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy0.006191259768442017
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
accuracy0.03125
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
accuracy0.1484375
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
accuracy0.6419215824985552
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
Samples
132.0ms256×0valid
Compiler

Compiled 283 to 46 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 21.0ms (20.9% of total)
ival-sin: 18.0ms (17.9% of total)
ival-sub: 18.0ms (17.9% of total)
ival-pow: 14.0ms (13.9% of total)
ival-add: 7.0ms (7% of total)
ival-div: 6.0ms (6% of total)
const: 6.0ms (6% of total)
ival-cos: 5.0ms (5% of total)
ival-neg: 2.0ms (2% of total)
ival-pow2: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (1.1%)

Memory
3.1MiB live, 47.3MiB allocated; 6ms collecting garbage
Counts
23 → 124
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.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))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
#s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
(sin.f64 v)
(*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v)
(*.f64 #s(literal 2/3 binary64) e)
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
Outputs
(* 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)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
1
(+ 1 (* -1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(* v (+ 1 (* -1/6 (pow v 2))))
(+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))
(+ 1 (* e (cos v)))
(/ 1 e)
(/ (+ 1 (* -1 (* e (cos v)))) e)
(* -1/6 v)
(+ (* -1/6 v) (* 2/3 (* e v)))
(* 2/3 e)
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
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)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* e (* v (- (* 2/3 (pow v 2)) 1)))
(* e (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* -1 (cos v))
(- (/ 1 e) (cos v))
(* 2/3 (* e v))
(* e (+ (* -1/6 (/ v e)) (* 2/3 v)))
(- (* -1 (cos v)) (/ 1 e))
(+ (* -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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (- (cos v) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -2/3 (pow v 2)))))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))
(/ (* 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))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* 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))))))))))))
(* 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)))))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(* v (- 1 e))
(* v (- (+ 1 (* (pow v 2) (- (* 2/3 e) 1/6))) e))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1)))
(+ (* -1 (* (pow v 2) (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))))) (* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1))))
(+ (* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/3 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1))))))) (* -1 (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))))))))
(+ (* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1))) (* (pow v 2) (+ (* -1 (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -2/45 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1))) (+ (* 1/720 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* 1/3 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1))))) (- (/ 1 e) 1)))))))) (* -1 (- (* 1/3 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1)))))))))))
(- (/ 1 e) 1)
(- (+ (* 1/2 (pow v 2)) (/ 1 e)) 1)
(- (+ (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (/ 1 e)) 1)
(- (+ (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (/ 1 e)) 1)
(* 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)))))))
(* v (- (* 2/3 e) 1/6))
(/ (- 1 (/ 1 (pow e 2))) (- (/ 1 e) 1))
(- (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))))) (/ 1 (- (/ 1 e) 1))) (/ 1 (* (pow e 2) (- (/ 1 e) 1))))
(- (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/3 (/ 1 (- (/ 1 e) 1))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (* -1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2)))))) (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))))) (/ 1 (- (/ 1 e) 1))) (/ 1 (* (pow e 2) (- (/ 1 e) 1))))
(- (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 1/720 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (+ (* 1/24 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (+ (* 2/45 (/ 1 (- (/ 1 e) 1))) (* 1/2 (/ (- (* 1/3 (/ 1 (- (/ 1 e) 1))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (* -1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))))) (- (/ 1 e) 1)))))))) (* 1/3 (/ 1 (- (/ 1 e) 1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (* -1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2)))))) (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))))) (/ 1 (- (/ 1 e) 1))) (/ 1 (* (pow e 2) (- (/ 1 e) 1))))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (pow v 3) (- (* 2/3 e) 1/6))
(* (pow v 3) (- (+ (* 2/3 e) (/ 1 (pow v 2))) (+ 1/6 (/ e (pow v 2)))))
(* -1 (/ (* e (- (pow (cos v) 2) (/ 1 (pow e 2)))) (- (/ 1 e) (cos v))))
(/ (- (pow (cos v) 2) (/ 1 (pow e 2))) (- (/ 1 e) (cos v)))
(pow (cos v) 2)
(* -1 (* (pow v 3) (+ (* -1 (- (* 2/3 e) 1/6)) (* -1 (/ (- 1 e) (pow v 2))))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
e
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) (sin v)) (+ (* (cos v) (neg e)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (* (neg e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v))))) (+ (pow e -1) (neg (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (- (* 2/3 e) 1/6) v) (* 2/3 e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (pow (cos v) 2))
8.0ms
v
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) (sin v)) (+ (* (cos v) (neg e)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (* (neg e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v))))) (+ (pow e -1) (neg (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (- (* 2/3 e) 1/6) v) (* 2/3 e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (pow (cos v) 2))
7.0ms
v
@0
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) (sin v)) (+ (* (cos v) (neg e)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (* (neg e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v))))) (+ (pow e -1) (neg (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (- (* 2/3 e) 1/6) v) (* 2/3 e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (pow (cos v) 2))
6.0ms
v
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) (sin v)) (+ (* (cos v) (neg e)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (* (neg e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v))))) (+ (pow e -1) (neg (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (- (* 2/3 e) 1/6) v) (* 2/3 e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (pow (cos v) 2))
4.0ms
e
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) (sin v)) (+ (* (cos v) (neg e)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (* (neg e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v))))) (+ (pow e -1) (neg (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (- (* 2/3 e) 1/6) v) (* 2/3 e) (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (pow (cos v) 2))

simplify242.0ms (3.8%)

Memory
11.5MiB live, 248.3MiB allocated; 65ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05633004
119402874
272102788
086092670
Stop Event
iter limit
node limit
Counts
124 → 122
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
1
(+ 1 (* -1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(* v (+ 1 (* -1/6 (pow v 2))))
(+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))
(+ 1 (* e (cos v)))
(/ 1 e)
(/ (+ 1 (* -1 (* e (cos v)))) e)
(* -1/6 v)
(+ (* -1/6 v) (* 2/3 (* e v)))
(* 2/3 e)
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
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)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* e (* v (- (* 2/3 (pow v 2)) 1)))
(* e (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* -1 (cos v))
(- (/ 1 e) (cos v))
(* 2/3 (* e v))
(* e (+ (* -1/6 (/ v e)) (* 2/3 v)))
(- (* -1 (cos v)) (/ 1 e))
(+ (* -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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (- (cos v) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)) (* v (+ 1 (* -2/3 (pow v 2)))))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))
(/ (* 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))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* 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))))))))))))
(* 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)))))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(* v (- 1 e))
(* v (- (+ 1 (* (pow v 2) (- (* 2/3 e) 1/6))) e))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1)))
(+ (* -1 (* (pow v 2) (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))))) (* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1))))
(+ (* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/3 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1))))))) (* -1 (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))))))))
(+ (* -1 (/ (* e (- 1 (/ 1 (pow e 2)))) (- (/ 1 e) 1))) (* (pow v 2) (+ (* -1 (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -2/45 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1))) (+ (* 1/720 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* 1/3 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1))))) (- (/ 1 e) 1)))))))) (* -1 (- (* 1/3 (/ e (- (/ 1 e) 1))) (+ (* -1/24 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2))) (* 1/2 (/ (- (* -1 (/ e (- (/ 1 e) 1))) (* 1/2 (/ (* e (- 1 (/ 1 (pow e 2)))) (pow (- (/ 1 e) 1) 2)))) (- (/ 1 e) 1)))))))))))
(- (/ 1 e) 1)
(- (+ (* 1/2 (pow v 2)) (/ 1 e)) 1)
(- (+ (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (/ 1 e)) 1)
(- (+ (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (/ 1 e)) 1)
(* 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)))))))
(* v (- (* 2/3 e) 1/6))
(/ (- 1 (/ 1 (pow e 2))) (- (/ 1 e) 1))
(- (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))))) (/ 1 (- (/ 1 e) 1))) (/ 1 (* (pow e 2) (- (/ 1 e) 1))))
(- (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/3 (/ 1 (- (/ 1 e) 1))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (* -1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2)))))) (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))))) (/ 1 (- (/ 1 e) 1))) (/ 1 (* (pow e 2) (- (/ 1 e) 1))))
(- (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 1/720 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (+ (* 1/24 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (+ (* 2/45 (/ 1 (- (/ 1 e) 1))) (* 1/2 (/ (- (* 1/3 (/ 1 (- (/ 1 e) 1))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (* -1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))))) (- (/ 1 e) 1)))))))) (* 1/3 (/ 1 (- (/ 1 e) 1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))) (- (/ 1 e) 1))) (* -1/24 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2)))))) (+ (* 1/2 (/ (- 1 (/ 1 (pow e 2))) (pow (- (/ 1 e) 1) 2))) (/ 1 (- (/ 1 e) 1))))) (/ 1 (- (/ 1 e) 1))) (/ 1 (* (pow e 2) (- (/ 1 e) 1))))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (pow v 3) (- (* 2/3 e) 1/6))
(* (pow v 3) (- (+ (* 2/3 e) (/ 1 (pow v 2))) (+ 1/6 (/ e (pow v 2)))))
(* -1 (/ (* e (- (pow (cos v) 2) (/ 1 (pow e 2)))) (- (/ 1 e) (cos v))))
(/ (- (pow (cos v) 2) (/ 1 (pow e 2))) (- (/ 1 e) (cos v)))
(pow (cos v) 2)
(* -1 (* (pow v 3) (+ (* -1 (- (* 2/3 e) 1/6)) (* -1 (/ (- 1 e) (pow v 2))))))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (neg.f64 v) v) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/720 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) #s(literal -1/24 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal 1/24 binary64) #s(literal 2/45 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) #s(literal -1/24 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(+ 1 (* -1 (pow v 2)))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v) v) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(* (pow v 3) (- (* 2/3 e) 1/6))
(*.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))
(* (pow v 3) (- (+ (* 2/3 e) (/ 1 (pow v 2))) (+ 1/6 (/ e (pow v 2)))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) e (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) #s(literal 1/6 binary64))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (/ (* e (- (pow (cos v) 2) (/ 1 (pow e 2)))) (- (/ 1 e) (cos v))))
(/.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) e))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (- (pow (cos v) 2) (/ 1 (pow e 2))) (- (/ 1 e) (cos v)))
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(pow (cos v) 2)
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(* -1 (* (pow v 3) (+ (* -1 (- (* 2/3 e) 1/6)) (* -1 (/ (- 1 e) (pow v 2))))))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v)))

rewrite172.0ms (2.7%)

Memory
-23.3MiB live, 267.1MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056342
088342
1293336
21867336
08763321
Stop Event
iter limit
node limit
iter limit
Counts
23 → 386
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.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))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
#s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
(sin.f64 v)
(*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v)
(*.f64 #s(literal 2/3 binary64) e)
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 e #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) (*.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (*.f64 #s(literal 1 binary64) (sin.f64 v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (*.f64 (sin.f64 v) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 v))) (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (sin.f64 v))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 v) v)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 v) v)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 v (neg.f64 v))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 v (neg.f64 v))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 v v)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 v v)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (PI.f64) v))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 v) (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 v))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))

eval76.0ms (1.2%)

Memory
-6.0MiB live, 182.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 22 857 to 3 241 computations (85.8% saved)

prune39.0ms (0.6%)

Memory
11.3MiB live, 106.2MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (25 fresh and 10 done)

PrunedKeptTotal
New49812510
Fresh61319
Picked235
Done077
Total50635541
Accuracy
99.9%
Counts
541 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))
41.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))
98.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
69.7%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))))
97.6%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
48.0%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.1%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
47.1%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
48.0%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
48.2%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
48.1%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
98.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
63.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))))) e)
74.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v))))) e)
73.9%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) e)
48.4%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
98.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
98.2%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
98.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v))) e)
97.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
47.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
47.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
98.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e))) e)
48.1%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
22.9%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) v))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
24.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Compiler

Compiled 2 993 to 1 059 computations (64.6% saved)

regimes69.0ms (1.1%)

Memory
-21.5MiB live, 128.2MiB allocated; 12ms collecting garbage
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) (sin.f64 v))))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e)) (sin.f64 v))))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) #s(literal 3 binary64)) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))) (pow.f64 (*.f64 (*.f64 (sin.f64 v) e) (cos.f64 v)) #s(literal 2 binary64)))))) e)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Calls

3 calls:

39.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%1e
99.8%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes32.0ms (0.5%)

Memory
24.6MiB live, 71.5MiB allocated; 1ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
Calls

3 calls:

11.0ms
e
10.0ms
v
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.8%1e
98.8%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes31.0ms (0.5%)

Memory
-24.1MiB live, 72.6MiB allocated; 4ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (/ (- (pow (cos v) 2) (pow e -2)) (+ (pow e -1) (neg (cos v)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

10.0ms
v
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
9.0ms
e
Results
AccuracySegmentsBranch
98.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.6%1e
98.6%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes25.0ms (0.4%)

Memory
12.6MiB live, 59.8MiB allocated; 1ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
Calls

3 calls:

8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
8.0ms
v
7.0ms
e
Results
AccuracySegmentsBranch
98.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.2%1e
98.2%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes25.0ms (0.4%)

Memory
12.7MiB live, 59.7MiB allocated; 2ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

8.0ms
e
7.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.7%1e
97.7%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes23.0ms (0.4%)

Memory
7.2MiB live, 54.5MiB allocated; 1ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(approx (* (- (* 2/3 e) 1/6) v) (*.f64 #s(literal -1/6 binary64) v)) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) #s(approx (* (+ (* (* (- (* 2/3 e) 1/6) v) v) (- 1 e)) v) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) e)
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) v)))) e)
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v) v (*.f64 #s(literal 1 binary64) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v (*.f64 v v)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

7.0ms
v
7.0ms
e
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.4%1e
48.4%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-25.9MiB live, 24.4MiB allocated; 1ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) 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
48.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.4%1e
48.4%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
Calls

3 calls:

3.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
48.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.1%1e
48.1%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory
-30.3MiB live, 17.0MiB allocated; 2ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
Calls

3 calls:

3.0ms
e
2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.1%1e
48.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.1%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Accuracy

Total -15.8b remaining (-47.2%)

Threshold costs -15.8b (-47.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
47.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
47.6%1e
47.6%1v
Compiler

Compiled 13 to 13 computations (0% saved)

simplify52.0ms (0.8%)

Memory
-0.0MiB live, 47.4MiB allocated; 1ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059207
197204
2147204
3231204
4376204
5696204
61518204
73321204
87769204
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (cos v) (neg e)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))

derivations1.1s (16.7%)

Memory
49.0MiB live, 960.5MiB allocated; 151ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07305182
124764966
087174726
040231
067202
1233202
21439202
08636202
049298
074298
1234298
21358298
08241287
0195841
1643829
22192788
37356761
08175705
03821752
112781703
243491640
081271569
05633004
119402874
272102788
086092670
0929
01529
14929
225629
3219529
0977127
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 207 to 60 computations (71% saved)

preprocess48.0ms (0.8%)

Memory
32.1MiB live, 78.3MiB allocated; 4ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 456 to 154 computations (66.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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