Trigonometry A

Time bar (total: 9.6s)

analyze28.0ms (0.3%)

Memory
-32.2MiB live, 6.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (12%)

Memory
28.6MiB live, 1 806.7MiB allocated
Samples
884.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 670.0ms
ival-sin: 191.0ms (28.5% of total)
ival-cos: 181.0ms (27% of total)
ival-mult: 125.0ms (18.7% of total)
ival-div: 61.0ms (9.1% of total)
ival-<=: 48.0ms (7.2% of total)
ival-add: 40.0ms (6% of total)
ival-and: 11.0ms (1.6% of total)
exact: 11.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess73.0ms (0.8%)

Memory
7.6MiB live, 45.8MiB allocated
Algorithm
2×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02972
17268
215966
340466
4100366
5155066
6172566
7187466
8203066
9244266
10253966
11260066
12265466
13265966
0911
11611
21911
32011
02010
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Call 2
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin v)) (+ (* e (cos v)) -1))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(* e (/ (sin v) (- -1 (* e (cos v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(/ (* e (sin v)) (- 1 (* e (cos v))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Symmetry

(negabs v)

explain118.0ms (1.2%)

Memory
0.4MiB live, 197.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
53.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cos: 13.0ms (35.6% of total)
ival-sin: 10.0ms (27.4% of total)
ival-mult: 6.0ms (16.5% of total)
ival-div: 3.0ms (8.2% of total)
ival-add: 3.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize35.0ms (0.4%)

Memory
11.3MiB live, 50.0MiB allocated
Localize:

Found 4 expressions of interest:

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

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (33.7% of total)
ival-sin: 5.0ms (28.1% of total)
ival-mult: 3.0ms (16.9% of total)
ival-div: 2.0ms (11.2% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-24.6MiB live, 15.7MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+ 1 (* e (cos v)))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (cos v)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

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

rewrite394.0ms (4.1%)

Memory
41.6MiB live, 512.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×accelerator-lowering-fma.f32
5 798×accelerator-lowering-fma.f64
4 350×/-lowering-/.f32
4 350×/-lowering-/.f64
3 988×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
13629
223529
3209329
0835227
Stop Event
1×iter limit
1×node limit
Counts
6 → 347
Calls
Call 1
Inputs
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(* e (cos v))
(cos v)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v)))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) e)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify493.0ms (5.2%)

Memory
-23.9MiB live, 745.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
5 646×*-lowering-*.f32
5 646×*-lowering-*.f64
3 948×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 0 binary64))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 0 binary64)))
(/ (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 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 0 binary64))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (*.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(*.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(*.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval61.0ms (0.6%)

Memory
0.7MiB live, 115.7MiB allocated
Compiler

Compiled 13 915 to 1 257 computations (91% saved)

prune58.0ms (0.6%)

Memory
-2.8MiB live, 159.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New45710467
Fresh000
Picked101
Done000
Total45810468
Accuracy
100.0%
Counts
468 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶56.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶98.9%
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
▶99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
▶99.8%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
56.0%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶98.1%
(*.f64 e (sin.f64 v))
Compiler

Compiled 272 to 176 computations (35.3% saved)

simplify154.0ms (1.6%)

Memory
8.3MiB live, 91.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 v))
✓cost-diff128
(*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓cost-diff320
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (cos.f64 v))
✓cost-diff0
(fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 e (sin.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff-64
(*.f64 e v)
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Rules
1 288×accelerator-lowering-fma.f32
1 288×accelerator-lowering-fma.f64
936×*-lowering-*.f32
936×*-lowering-*.f64
594×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023137
150137
2104134
3245134
4542134
51246133
61948133
72745133
82950133
93034133
103096133
113108133
123200133
133240133
143240133
153240133
163240133
03240127
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ e (+ (* e (cos v)) 1)) (sin v))
(/ e (+ (* e (cos v)) 1))
e
(+ (* e (cos v)) 1)
(cos v)
v
1
(sin v)
(/ (* e v) (+ 1 e))
(* e v)
e
v
(+ 1 e)
1
(* e (sin v))
e
(sin v)
v
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
(+ (* e (- 0 (cos v))) 1)
e
(- 0 (cos v))
0
(cos v)
v
1
(* e (sin v))
(sin v)
(* (- 0 (sin v)) (* e (/ -1 (+ (* e (cos v)) 1))))
(- 0 (sin v))
0
(sin v)
v
(* e (/ -1 (+ (* e (cos v)) 1)))
e
(/ -1 (+ (* e (cos v)) 1))
-1
(+ (* e (cos v)) 1)
(cos v)
1
Outputs
(* (/ e (+ (* e (cos v)) 1)) (sin v))
(/.f64 (fma.f64 e (sin.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ e (+ (* e (cos v)) 1))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
v
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
(/ (* e v) (+ 1 e))
(fma.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 0 binary64))
(* e v)
(fma.f64 e v #s(literal 0 binary64))
e
v
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (sin v))
(fma.f64 e (sin.f64 v) #s(literal 0 binary64))
e
(sin v)
(sin.f64 v)
v
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
(fma.f64 (sin.f64 v) (fma.f64 (-.f64 #s(literal 0 binary64) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* e (- 0 (cos v))) 1)
(-.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 0 binary64)))
e
(- 0 (cos v))
(-.f64 #s(literal 0 binary64) (cos.f64 v))
0
#s(literal 0 binary64)
(cos v)
(cos.f64 v)
v
1
#s(literal 1 binary64)
(* e (sin v))
(fma.f64 e (sin.f64 v) #s(literal 0 binary64))
(sin v)
(sin.f64 v)
(* (- 0 (sin v)) (* e (/ -1 (+ (* e (cos v)) 1))))
(/.f64 (fma.f64 e (sin.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(- 0 (sin v))
(-.f64 #s(literal 0 binary64) (sin.f64 v))
0
#s(literal 0 binary64)
(sin v)
(sin.f64 v)
v
(* e (/ -1 (+ (* e (cos v)) 1)))
(/.f64 e (-.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 0 binary64))))
e
(/ -1 (+ (* e (cos v)) 1))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)

localize98.0ms (1%)

Memory
-5.9MiB live, 151.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓accuracy99.8%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Samples
56.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 138 to 25 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 11.0ms (32.6% of total)
ival-cos: 6.0ms (17.8% of total)
ival-div: 5.0ms (14.8% of total)
ival-sin: 5.0ms (14.8% of total)
ival-add: 4.0ms (11.9% of total)
ival-sub: 2.0ms (5.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
0.8MiB live, 38.1MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#<alt (/ e (+ (* e (cos v)) 1))>
#<alt (+ (* e (cos v)) 1)>
#<alt (cos v)>
#<alt (sin v)>
#<alt (/ (* e v) (+ 1 e))>
#<alt (+ 1 e)>
#<alt (* e v)>
#<alt (* e (sin v))>
#<alt (+ (* e (- 0 (cos v))) 1)>
#<alt (- 0 (cos v))>
#<alt (* (- 0 (sin v)) (* e (/ -1 (+ (* e (cos v)) 1))))>
#<alt (* e (/ -1 (+ (* e (cos v)) 1)))>
#<alt (- 0 (sin v))>
#<alt (* (/ e (+ (* e (cos v)) 1)) (sin v))>
#<alt (* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))>
#<alt (/ -1 (+ (* e (cos v)) 1))>
Outputs
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (/ e (+ 1 e))>
#<alt (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt 1>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (* -1 (* e (cos v)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* e (cos v)))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (+ 1 (* -1 e))>
#<alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt -1>
#<alt (- (* 1/2 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (* -1 e)>
#<alt (* e (- (* e (cos v)) 1))>
#<alt (* e (- (* e (+ (cos v) (* -1 (* e (pow (cos v) 2))))) 1))>
#<alt (* e (- (* e (+ (cos v) (* e (+ (* -1 (pow (cos v) 2)) (* e (pow (cos v) 3)))))) 1))>
#<alt (/ -1 (cos v))>
#<alt (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v)))>
#<alt (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))))>
#<alt (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))))>
#<alt (/ -1 (cos v))>
#<alt (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v)))>
#<alt (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (* -1 (/ e (+ 1 e)))>
#<alt (+ (* -1 (/ e (+ 1 e))) (* -1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))))>
#<alt (+ (* -1 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))))>
#<alt (+ (* -1 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (+ (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))))))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ e (+ 1 (* e (cos v)))))>
#<alt (* -1 v)>
#<alt (* v (- (* 1/6 (pow v 2)) 1))>
#<alt (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1))>
#<alt (* v (- (* (pow v 2) (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120)))) 1))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt -1>
#<alt (- (* e (cos v)) 1)>
#<alt (- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1)>
#<alt (- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1)>
#<alt (/ -1 (* e (cos v)))>
#<alt (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)>
#<alt (/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)>
#<alt (/ (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)>
#<alt (/ -1 (* e (cos v)))>
#<alt (* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))>
#<alt (/ -1 (+ 1 e))>
#<alt (- (* -1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))>
#<alt (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (+ (* 1/720 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3))))) (+ 1 e))))))) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
Calls

81 calls:

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

rewrite423.0ms (4.4%)

Memory
53.3MiB live, 798.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 122×accelerator-lowering-fma.f32
6 122×accelerator-lowering-fma.f64
4 540×*-lowering-*.f32
4 540×*-lowering-*.f64
3 686×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023105
112497
299696
0961488
Stop Event
1×iter limit
1×node limit
Counts
16 → 1 859
Calls
Call 1
Inputs
(/ e (+ (* e (cos v)) 1))
(+ (* e (cos v)) 1)
(cos v)
(sin v)
(/ (* e v) (+ 1 e))
(+ 1 e)
(* e v)
(* e (sin v))
(+ (* e (- 0 (cos v))) 1)
(- 0 (cos v))
(* (- 0 (sin v)) (* e (/ -1 (+ (* e (cos v)) 1))))
(* e (/ -1 (+ (* e (cos v)) 1)))
(- 0 (sin v))
(* (/ e (+ (* e (cos v)) 1)) (sin v))
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
(/ -1 (+ (* e (cos v)) 1))
Outputs
(+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 0 binary64))) (*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 (-.f64 #s(literal 0 binary64) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 e (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (-.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1 binary64))
(*.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) e))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 e (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
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(exp.f64 (*.f64 (log.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (-.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))

simplify405.0ms (4.2%)

Memory
-7.8MiB live, 783.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 556×accelerator-lowering-fma.f32
8 556×accelerator-lowering-fma.f64
7 380×*-lowering-*.f32
7 380×*-lowering-*.f64
2 302×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04924099
115783955
249523913
081703710
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(/ e (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
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e
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(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
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(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
-1
#s(literal -1 binary64)
(- (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1)
(fma.f64 e (fma.f64 e (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v)) #s(literal -1 binary64))
(- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1)
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(/ -1 (* e (cos v)))
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(/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
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(/ (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
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(/ -1 (* e (cos v)))
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(* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) e))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))))) (-.f64 #s(literal 0 binary64) e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e)) (-.f64 #s(literal 0 binary64) e))
(/ -1 (+ 1 e))
(/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64)))
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(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
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(/ -1 (+ 1 (* e (cos v))))
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(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))

eval351.0ms (3.7%)

Memory
-3.1MiB live, 681.3MiB allocated
Compiler

Compiled 69 567 to 4 915 computations (92.9% saved)

prune506.0ms (5.3%)

Memory
9.7MiB live, 537.7MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New2 813212 834
Fresh325
Picked235
Done000
Total2 818262 844
Accuracy
100.0%
Counts
2 844 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
76.8%
(/.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))) (sin.f64 v))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓56.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
56.4%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
98.9%
(*.f64 (fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
56.5%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
98.5%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
76.8%
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)))
▶99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (sin.f64 v))
98.8%
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
▶55.5%
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
56.0%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
55.1%
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
76.8%
(*.f64 e (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v)))) (sin.f64 v)))
54.8%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
54.9%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶55.0%
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
56.1%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
✓98.1%
(*.f64 e (sin.f64 v))
55.6%
(*.f64 e v)
▶4.7%
v
Compiler

Compiled 619 to 402 computations (35.1% saved)

simplify551.0ms (5.8%)

Memory
-29.6MiB live, 410.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 v))
✓cost-diff0
(-.f64 #s(literal 0 binary64) e)
✓cost-diff192
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
✓cost-diff1216
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
✓cost-diff0
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e)
✓cost-diff384
(fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))
✓cost-diff0
(*.f64 v #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Rules
15 376×accelerator-lowering-fma.f32
15 376×accelerator-lowering-fma.f64
3 770×*-lowering-*.f32
3 770×*-lowering-*.f64
2 142×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033182
189160
2274155
3952153
42914153
54795153
08186138
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ 1 (+ (* e (cos v)) 1)) e) (sin v))
(* (/ 1 (+ (* e (cos v)) 1)) e)
(/ 1 (+ (* e (cos v)) 1))
1
(+ (* e (cos v)) 1)
e
(cos v)
v
(sin v)
v
(* e (* v (+ (* v (* v -1/6)) 1)))
e
(* v (+ (* v (* v -1/6)) 1))
v
(+ (* v (* v -1/6)) 1)
(* v -1/6)
-1/6
1
(* (* e v) (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e))
(* e v)
e
v
(- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e)
(+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1)
(* v v)
(+ (* e 1/2) (+ (* e 1/6) -1/6))
1/2
(+ (* e 1/6) -1/6)
1/6
-1/6
1
(/ (- 0 e) (/ 1 (- 0 (sin v))))
(- 0 e)
0
e
(/ 1 (- 0 (sin v)))
1
(- 0 (sin v))
(sin v)
v
Outputs
(* (* (/ 1 (+ (* e (cos v)) 1)) e) (sin v))
(/.f64 (fma.f64 e (sin.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* (/ 1 (+ (* e (cos v)) 1)) e)
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 (+ (* e (cos v)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
v
(* e (* v (+ (* v (* v -1/6)) 1)))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
e
(* v (+ (* v (* v -1/6)) 1))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
v
(+ (* v (* v -1/6)) 1)
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* v -1/6)
(*.f64 v #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(* (* e v) (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e))
(fma.f64 e (fma.f64 v (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) #s(literal 0 binary64)) #s(literal 0 binary64))
(* e v)
(fma.f64 e v #s(literal 0 binary64))
e
v
(- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e)
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) e)
(+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
(+ (* e 1/2) (+ (* e 1/6) -1/6))
(fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* e 1/6) -1/6)
(fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(/ (- 0 e) (/ 1 (- 0 (sin v))))
(fma.f64 e (sin.f64 v) #s(literal 0 binary64))
(- 0 e)
(-.f64 #s(literal 0 binary64) e)
0
#s(literal 0 binary64)
e
(/ 1 (- 0 (sin v)))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(- 0 (sin v))
(-.f64 #s(literal 0 binary64) (sin.f64 v))
(sin v)
(sin.f64 v)
v

localize185.0ms (1.9%)

Memory
-1.3MiB live, 115.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
✓accuracy100.0%
(fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))
✓accuracy100.0%
(fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
✓accuracy98.4%
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
✓accuracy100.0%
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓accuracy99.4%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy91.9%
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓accuracy99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (sin.f64 v))
Samples
120.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 170 to 35 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 47.0ms (45.3% of total)
ival-div: 30.0ms (28.9% of total)
const: 7.0ms (6.8% of total)
ival-cos: 6.0ms (5.8% of total)
ival-add: 6.0ms (5.8% of total)
ival-sin: 5.0ms (4.8% of total)
ival-sub: 3.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
20 → 348
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ (* e (cos v)) 1)) e)>
#<alt (/ 1 (+ (* e (cos v)) 1))>
#<alt (+ (* e (cos v)) 1)>
#<alt (cos v)>
#<alt (* e (* v (+ (* v (* v -1/6)) 1)))>
#<alt (* v (+ (* v (* v -1/6)) 1))>
#<alt (+ (* v (* v -1/6)) 1)>
#<alt (* v -1/6)>
#<alt (+ (* e 1/2) (+ (* e 1/6) -1/6))>
#<alt (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e)>
#<alt (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1)>
#<alt (* v v)>
#<alt (/ (- 0 e) (/ 1 (- 0 (sin v))))>
#<alt (/ 1 (- 0 (sin v)))>
#<alt (- 0 e)>
#<alt (- 0 (sin v))>
#<alt (* (* (/ 1 (+ (* e (cos v)) 1)) e) (sin v))>
#<alt (* (* e v) (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e))>
#<alt (+ (* e 1/6) -1/6)>
#<alt (sin v)>
Outputs
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (/ e (+ 1 e))>
#<alt (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt 1>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))>
#<alt (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))>
#<alt (/ 1 (* e (cos v)))>
#<alt (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e)>
#<alt (/ 1 (* e (cos v)))>
#<alt (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))>
#<alt (/ 1 (+ 1 e))>
#<alt (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1/6 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt -1/6>
#<alt (- (* 2/3 e) 1/6)>
#<alt (- (* 2/3 e) 1/6)>
#<alt (- (* 2/3 e) 1/6)>
#<alt (* 2/3 e)>
#<alt (* e (- 2/3 (* 1/6 (/ 1 e))))>
#<alt (* e (- 2/3 (* 1/6 (/ 1 e))))>
#<alt (* e (- 2/3 (* 1/6 (/ 1 e))))>
#<alt (* 2/3 e)>
#<alt (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))>
#<alt (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))>
#<alt (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))>
#<alt (- 1 e)>
#<alt (- (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) e)>
#<alt (- (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) e)>
#<alt (- (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) e)>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))>
#<alt (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))>
#<alt (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))>
#<alt (* e (- (* 2/3 (pow v 2)) 1))>
#<alt (* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))>
#<alt (* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))>
#<alt (* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))>
#<alt (* -1 (* e (+ 1 (* -2/3 (pow v 2)))))>
#<alt (* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))>
#<alt (* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))>
#<alt (* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))>
#<alt (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))>
#<alt (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))>
#<alt (* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))>
#<alt (+ 1 (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))>
#<alt (+ 1 (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))>
#<alt (* 2/3 (* e (pow v 2)))>
#<alt (* e (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))))>
#<alt (* e (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))))>
#<alt (* e (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))))>
#<alt (* 2/3 (* e (pow v 2)))>
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2)))))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ -1 v)>
#<alt (/ (- (* -1/6 (pow v 2)) 1) v)>
#<alt (/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)>
#<alt (/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) v)>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (/ -1 (sin v))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 v)>
#<alt (* v (- (* 1/6 (pow v 2)) 1))>
#<alt (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1))>
#<alt (* v (- (* (pow v 2) (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120)))) 1))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* -1 (sin v))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))>
#<alt (* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))>
#<alt (* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))>
#<alt (* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))>
#<alt (* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))>
#<alt (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))>
#<alt (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))>
#<alt (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))>
#<alt (* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))>
#<alt (* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))>
#<alt (* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))>
#<alt (* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))>
#<alt (* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))>
#<alt -1/6>
#<alt (- (* 1/6 e) 1/6)>
#<alt (- (* 1/6 e) 1/6)>
#<alt (- (* 1/6 e) 1/6)>
#<alt (* 1/6 e)>
#<alt (* e (- 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (- 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (- 1/6 (* 1/6 (/ 1 e))))>
#<alt (* 1/6 e)>
#<alt (* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))>
#<alt (* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))>
#<alt (* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
Calls

87 calls:

TimeVariablePointExpression
6.0ms
e
@0
(* (* e v) (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e))
1.0ms
v
@0
(/ 1 (+ (* e (cos v)) 1))
1.0ms
e
@0
(* e (* v (+ (* v (* v -1/6)) 1)))
1.0ms
v
@inf
(* e (* v (+ (* v (* v -1/6)) 1)))
1.0ms
e
@-inf
(* (* e v) (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e))

rewrite670.0ms (7%)

Memory
18.3MiB live, 720.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 606×*-lowering-*.f32
4 606×*-lowering-*.f64
4 444×accelerator-lowering-fma.f32
4 444×accelerator-lowering-fma.f64
4 158×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033159
1204136
21832130
08695115
Stop Event
1×iter limit
1×node limit
Counts
20 → 868
Calls
Call 1
Inputs
(* (/ 1 (+ (* e (cos v)) 1)) e)
(/ 1 (+ (* e (cos v)) 1))
(+ (* e (cos v)) 1)
(cos v)
(* e (* v (+ (* v (* v -1/6)) 1)))
(* v (+ (* v (* v -1/6)) 1))
(+ (* v (* v -1/6)) 1)
(* v -1/6)
(+ (* e 1/2) (+ (* e 1/6) -1/6))
(- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e)
(+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1)
(* v v)
(/ (- 0 e) (/ 1 (- 0 (sin v))))
(/ 1 (- 0 (sin v)))
(- 0 e)
(- 0 (sin v))
(* (* (/ 1 (+ (* e (cos v)) 1)) e) (sin v))
(* (* e v) (- (+ (* (* v v) (+ (* e 1/2) (+ (* e 1/6) -1/6))) 1) e))
(+ (* e 1/6) -1/6)
(sin v)
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 e (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (*.f64 e #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 e #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e e #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v 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 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e e #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 e (fma.f64 (fma.f64 e e #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 e v) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 e v) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 e v) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (*.f64 e v) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))))))
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(*.f64 e (*.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))
(*.f64 (*.f64 e v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))) e)
(*.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) e) v)
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(+.f64 (*.f64 e #s(literal 1/6 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64))) (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64))) (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64))))
(/.f64 (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 e #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 e #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64))) (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 e (fma.f64 e e #s(literal 0 binary64))) #s(literal 1/216 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/36 binary64)))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (fma.f64 e e #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(+.f64 #s(literal 0 binary64) (sin.f64 v))
(+.f64 (sin.f64 v) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))) (sin.f64 v)))
(sin.f64 v)
(fma.f64 (sin.f64 v) (/.f64 (sin.f64 v) (sin.f64 v)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 v) (sin.f64 v)) (sin.f64 v) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3/2 binary64)) (sin.f64 v)) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3/2 binary64)) (sin.f64 v)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))
(/.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (sin.f64 v))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (sin.f64 v))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))
(pow.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (sin.f64 v)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (sin.f64 v)) (sin.f64 v))
(*.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal 3/2 binary64)) (sin.f64 v)) (/.f64 (pow.f64 (sin.f64 v) #s(literal 3/2 binary64)) (sin.f64 v)))

simplify478.0ms (5%)

Memory
-39.5MiB live, 871.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 962×accelerator-lowering-fma.f32
13 962×accelerator-lowering-fma.f64
6 488×*-lowering-*.f32
6 488×*-lowering-*.f64
4 246×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04633953
114153804
245423692
084713427
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(/ e (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))
(+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))
(/ 1 (* e (cos v)))
(/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)
(/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)
(/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e)
(/ 1 (* e (cos v)))
(* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))
(/ 1 (+ 1 e))
(+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
(/ 1 (+ 1 (* e (cos v))))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* -1/6 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 3))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
1
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
-1/6
(- (* 2/3 e) 1/6)
(- (* 2/3 e) 1/6)
(- (* 2/3 e) 1/6)
(* 2/3 e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* 2/3 e)
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(- 1 e)
(- (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) e)
(- (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) e)
(- (+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) e)
(* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))
(* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) (+ 1/6 (/ e (pow v 2)))))
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))
(+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))
(+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))
(* e (- (* 2/3 (pow v 2)) 1))
(* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))
(* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))
(* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))
(* -1 (* e (+ 1 (* -2/3 (pow v 2)))))
(* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))
(* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))
(* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))
1
(+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(+ 1 (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))
(* (pow v 2) (- (+ (* 1/6 e) (+ (* 1/2 e) (/ 1 (pow v 2)))) 1/6))
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(+ 1 (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(+ 1 (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(* 2/3 (* e (pow v 2)))
(* e (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))))
(* e (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))))
(* e (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))))
(* 2/3 (* e (pow v 2)))
(* -1 (* e (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2)))))
(* -1 (* e (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2)))))
(* -1 (* e (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ -1 v)
(/ (- (* -1/6 (pow v 2)) 1) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) v)
(/ -1 (sin v))
(/ -1 (sin v))
(/ -1 (sin v))
(/ -1 (sin v))
(/ -1 (sin v))
(/ -1 (sin v))
(/ -1 (sin v))
(/ -1 (sin v))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 v)
(* v (- (* 1/6 (pow v 2)) 1))
(* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1))
(* v (- (* (pow v 2) (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120)))) 1))
(* -1 (sin v))
(* -1 (sin v))
(* -1 (sin v))
(* -1 (sin v))
(* -1 (sin v))
(* -1 (sin v))
(* -1 (sin v))
(* -1 (sin v))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
-1/6
(- (* 1/6 e) 1/6)
(- (* 1/6 e) 1/6)
(- (* 1/6 e) 1/6)
(* 1/6 e)
(* e (- 1/6 (* 1/6 (/ 1 e))))
(* e (- 1/6 (* 1/6 (/ 1 e))))
(* e (- 1/6 (* 1/6 (/ 1 e))))
(* 1/6 e)
(* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
Outputs
e
(* e (+ 1 (* -1 (* e (cos v)))))
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(*.f64 e (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 v))) #s(literal 1 binary64)))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 v))))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (*.f64 e e)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ e (+ 1 e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(fma.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (/.f64 (*.f64 v v) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 e (+.f64 e #s(literal 1 binary64))))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) e)))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e (fma.f64 #s(literal 1/24 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e (fma.f64 #s(literal 1/24 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (fma.f64 #s(literal 1/24 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(*.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(*.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(*.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v))
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(*.f64 (*.f64 e e) (*.f64 v (+.f64 (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(*.f64 (*.f64 e e) (*.f64 v (+.f64 (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(*.f64 (*.f64 e e) (*.f64 v (+.f64 (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(*.f64 (*.f64 e e) (*.f64 v (-.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(*.f64 (*.f64 e e) (*.f64 v (-.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(*.f64 (*.f64 e e) (*.f64 v (-.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(* e (* v (- 1 e)))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(*.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(*.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(*.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v))
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)))))
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/6 e) 1/6)
(fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))
(- (* 1/6 e) 1/6)
(fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))
(- (* 1/6 e) 1/6)
(fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* e (- 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))
(* e (- 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))
(* e (- 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 1/6)))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)

eval204.0ms (2.1%)

Memory
28.7MiB live, 372.3MiB allocated
Compiler

Compiled 43 311 to 3 794 computations (91.2% saved)

prune226.0ms (2.4%)

Memory
-28.8MiB live, 412.1MiB allocated
Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New1 235241 259
Fresh51318
Picked235
Done033
Total1 242431 285
Accuracy
100.0%
Counts
1 285 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 e (fma.f64 e e #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
69.9%
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
▶56.3%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
56.4%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v))
▶55.5%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
30.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
28.6%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (fma.f64 e e #s(literal 0 binary64)))
54.4%
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
76.8%
(/.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))) (sin.f64 v))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓56.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
▶97.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
2.5%
(-.f64 v (/.f64 v e))
34.2%
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
55.1%
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
56.5%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
98.5%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
76.8%
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)))
✓99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (sin.f64 v))
18.3%
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
55.5%
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
55.1%
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
56.1%
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
34.4%
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
34.0%
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
56.0%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
54.9%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
55.0%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
76.8%
(*.f64 e (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v)))) (sin.f64 v)))
98.9%
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
54.9%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓55.0%
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
54.6%
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
56.1%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
34.1%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
34.1%
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
✓98.1%
(*.f64 e (sin.f64 v))
▶55.6%
(*.f64 e v)
✓4.7%
v
Compiler

Compiled 1 218 to 739 computations (39.3% saved)

simplify173.0ms (1.8%)

Memory
35.5MiB live, 305.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 e (sin.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
✓cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v)
✓cost-diff0
(-.f64 #s(literal 0 binary64) e)
✓cost-diff512
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
✓cost-diff0
(/.f64 #s(literal -1 binary64) v)
✓cost-diff0
(-.f64 #s(literal 0 binary64) e)
✓cost-diff1216
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
✓cost-diff-64
(*.f64 e v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff320
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
3 400×accelerator-lowering-fma.f32
3 400×accelerator-lowering-fma.f64
1 966×*-lowering-*.f32
1 966×*-lowering-*.f64
1 220×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027132
165132
2145132
3235132
4450131
51264131
63435131
76261131
08015121
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
v
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
e
(cos v)
1
(* e v)
e
v
(/ (- 0 e) (/ -1 v))
(- 0 e)
0
e
(/ -1 v)
-1
v
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
(- 0 e)
0
e
(/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v)
(+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1)
(* v v)
v
(+ (* (* v v) -7/360) -1/6)
-7/360
-1/6
-1
(/ 1 (/ 1 (* e (sin v))))
1
(/ 1 (* e (sin v)))
(* e (sin v))
e
(sin v)
v
Outputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(fma.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64))
(sin v)
(sin.f64 v)
v
(/ (+ (* e (cos v)) 1) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
(* e v)
(fma.f64 v e #s(literal 0 binary64))
e
v
(/ (- 0 e) (/ -1 v))
(fma.f64 v e #s(literal 0 binary64))
(- 0 e)
(-.f64 #s(literal 0 binary64) e)
0
#s(literal 0 binary64)
e
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
-1
#s(literal -1 binary64)
v
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
(/.f64 (fma.f64 v e #s(literal 0 binary64)) (fma.f64 v (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 7/360 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(- 0 e)
(-.f64 #s(literal 0 binary64) e)
0
#s(literal 0 binary64)
e
(/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v)
(/.f64 (fma.f64 v (fma.f64 v (fma.f64 v (fma.f64 v #s(literal -7/360 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) v)
(+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1)
(fma.f64 v (fma.f64 v (fma.f64 v (fma.f64 v #s(literal -7/360 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
(* v v)
(fma.f64 v v #s(literal 0 binary64))
v
(+ (* (* v v) -7/360) -1/6)
(fma.f64 v (fma.f64 v #s(literal -7/360 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))
-7/360
#s(literal -7/360 binary64)
-1/6
#s(literal -1/6 binary64)
-1
#s(literal -1 binary64)
(/ 1 (/ 1 (* e (sin v))))
(fma.f64 (sin.f64 v) e #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 v) e #s(literal 0 binary64)))
(* e (sin v))
(fma.f64 (sin.f64 v) e #s(literal 0 binary64))
e
(sin v)
(sin.f64 v)
v

localize157.0ms (1.6%)

Memory
-34.0MiB live, 176.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
✓accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
✓accuracy99.5%
(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
✓accuracy96.7%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) v)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) e)
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
103.0ms256×0valid
Compiler

Compiled 135 to 29 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 52.0ms (60.2% of total)
ival-mult: 10.0ms (11.6% of total)
ival-sin: 8.0ms (9.3% of total)
const: 6.0ms (6.9% of total)
ival-cos: 5.0ms (5.8% of total)
ival-add: 4.0ms (4.6% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
16 → 300
Calls
Call 1
Inputs
#<alt (/ (sin v) (/ (+ (* e (cos v)) 1) e))>
#<alt (sin v)>
#<alt (/ (+ (* e (cos v)) 1) e)>
#<alt (+ (* e (cos v)) 1)>
#<alt (* e v)>
#<alt (/ (- 0 e) (/ -1 v))>
#<alt (- 0 e)>
#<alt (/ -1 v)>
#<alt (/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))>
#<alt (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v)>
#<alt (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1)>
#<alt (/ 1 (/ 1 (* e (sin v))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (* e (sin v))>
#<alt (cos v)>
#<alt (+ (* (* v v) -7/360) -1/6)>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -7/360 e) (* 1/36 e)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -7/360 e) (+ (* 1/36 e) (* (pow v 2) (+ (* -1/6 (+ (* -7/360 e) (* 1/36 e))) (* 7/2160 e))))))))))>
#<alt (* 360/7 (/ e (pow v 3)))>
#<alt (/ (+ (* -21600/49 (/ e (pow v 2))) (* 360/7 e)) (pow v 3))>
#<alt (/ (+ (* -129600/49 (/ e (pow v 4))) (+ (* -21600/49 (/ e (pow v 2))) (+ (* 360/7 e) (* 1296000/343 (/ e (pow v 4)))))) (pow v 3))>
#<alt (/ (+ (* -129600/49 (/ e (pow v 4))) (+ (* -21600/49 (/ e (pow v 2))) (+ (* -60/7 (/ (+ (* -129600/49 e) (* 1296000/343 e)) (pow v 6))) (+ (* 360/7 e) (+ (* 1296000/343 (/ e (pow v 4))) (* 7776000/343 (/ e (pow v 6)))))))) (pow v 3))>
#<alt (* 360/7 (/ e (pow v 3)))>
#<alt (* -1 (/ (+ (* -360/7 e) (* 21600/49 (/ e (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* -360/7 e) (* -1 (/ (+ (* -129600/49 e) (* 1296000/343 e)) (pow v 4)))) (* -21600/49 (/ e (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* -360/7 e) (* -1 (/ (+ (* -60/7 (+ (* -129600/49 e) (* 1296000/343 e))) (* 7776000/343 e)) (pow v 6)))) (+ (* -129600/49 (/ e (pow v 4))) (+ (* -21600/49 (/ e (pow v 2))) (* 1296000/343 (/ e (pow v 4)))))) (pow v 3)))>
#<alt (/ -1 v)>
#<alt (/ (- (* -1/6 (pow v 2)) 1) v)>
#<alt (/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)>
#<alt (/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)>
#<alt (* -7/360 (pow v 3))>
#<alt (* -1 (* (pow v 3) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* (pow v 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))>
#<alt (* (pow v 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))>
#<alt (* -7/360 (pow v 3))>
#<alt (* -1 (* (pow v 3) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow v 2))) (/ 1 (pow v 4))))))>
#<alt (* -1 (* (pow v 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow v 2))) (/ 1 (pow v 4))))))>
#<alt -1>
#<alt (- (* -1/6 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)>
#<alt (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)>
#<alt (* -7/360 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))>
#<alt (* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))>
#<alt (* -7/360 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))>
#<alt (* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt -1/6>
#<alt (- (* -7/360 (pow v 2)) 1/6)>
#<alt (- (* -7/360 (pow v 2)) 1/6)>
#<alt (- (* -7/360 (pow v 2)) 1/6)>
#<alt (* -7/360 (pow v 2))>
#<alt (* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* -7/360 (pow v 2))>
#<alt (* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
e
@0
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
1.0ms
v
@inf
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
1.0ms
e
@inf
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
1.0ms
v
@0
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
0.0ms
v
@-inf
(/ 1 (* e (sin v)))

rewrite522.0ms (5.5%)

Memory
30.0MiB live, 936.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 042×accelerator-lowering-fma.f32
10 042×accelerator-lowering-fma.f64
5 586×*-lowering-*.f32
5 586×*-lowering-*.f64
3 294×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027107
1169107
21273106
0880597
Stop Event
1×iter limit
1×node limit
Counts
16 → 1 537
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
(* e v)
(/ (- 0 e) (/ -1 v))
(- 0 e)
(/ -1 v)
(/ (- 0 e) (/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v))
(/ (+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1) v)
(+ (* (* v v) (+ (* (* v v) -7/360) -1/6)) -1)
(/ 1 (/ 1 (* e (sin v))))
(/ 1 (* e (sin v)))
(* e (sin v))
(cos v)
(+ (* (* v v) -7/360) -1/6)
Outputs
(+.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -7/360 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -7/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -343/46656000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 49/129600 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal 7/2160 binary64))))))
(*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -343/46656000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 49/129600 binary64)) #s(literal 7/2160 binary64))))))
(*.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 49/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -7/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -343/46656000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 49/129600 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal 7/2160 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 49/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -49/129600 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))

simplify499.0ms (5.2%)

Memory
-16.1MiB live, 807.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 844×accelerator-lowering-fma.f32
11 844×accelerator-lowering-fma.f64
5 284×*-lowering-*.f32
5 284×*-lowering-*.f64
4 830×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03412637
110162608
231622524
081982359
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* -1 (/ (* e v) (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -7/360 e) (* 1/36 e)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -7/360 e) (+ (* 1/36 e) (* (pow v 2) (+ (* -1/6 (+ (* -7/360 e) (* 1/36 e))) (* 7/2160 e))))))))))
(* 360/7 (/ e (pow v 3)))
(/ (+ (* -21600/49 (/ e (pow v 2))) (* 360/7 e)) (pow v 3))
(/ (+ (* -129600/49 (/ e (pow v 4))) (+ (* -21600/49 (/ e (pow v 2))) (+ (* 360/7 e) (* 1296000/343 (/ e (pow v 4)))))) (pow v 3))
(/ (+ (* -129600/49 (/ e (pow v 4))) (+ (* -21600/49 (/ e (pow v 2))) (+ (* -60/7 (/ (+ (* -129600/49 e) (* 1296000/343 e)) (pow v 6))) (+ (* 360/7 e) (+ (* 1296000/343 (/ e (pow v 4))) (* 7776000/343 (/ e (pow v 6)))))))) (pow v 3))
(* 360/7 (/ e (pow v 3)))
(* -1 (/ (+ (* -360/7 e) (* 21600/49 (/ e (pow v 2)))) (pow v 3)))
(* -1 (/ (- (+ (* -360/7 e) (* -1 (/ (+ (* -129600/49 e) (* 1296000/343 e)) (pow v 4)))) (* -21600/49 (/ e (pow v 2)))) (pow v 3)))
(* -1 (/ (- (+ (* -360/7 e) (* -1 (/ (+ (* -60/7 (+ (* -129600/49 e) (* 1296000/343 e))) (* 7776000/343 e)) (pow v 6)))) (+ (* -129600/49 (/ e (pow v 4))) (+ (* -21600/49 (/ e (pow v 2))) (* 1296000/343 (/ e (pow v 4)))))) (pow v 3)))
(/ -1 v)
(/ (- (* -1/6 (pow v 2)) 1) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(* -7/360 (pow v 3))
(* -1 (* (pow v 3) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* (pow v 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
(* (pow v 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
(* -7/360 (pow v 3))
(* -1 (* (pow v 3) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* -1 (* (pow v 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow v 2))) (/ 1 (pow v 4))))))
(* -1 (* (pow v 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow v 2))) (/ 1 (pow v 4))))))
-1
(- (* -1/6 (pow v 2)) 1)
(- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)
(- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)
(* -7/360 (pow v 4))
(* -1 (* (pow v 4) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
(* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
(* -7/360 (pow v 4))
(* -1 (* (pow v 4) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
(* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
-1/6
(- (* -7/360 (pow v 2)) 1/6)
(- (* -7/360 (pow v 2)) 1/6)
(- (* -7/360 (pow v 2)) 1/6)
(* -7/360 (pow v 2))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* -7/360 (pow v 2))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
Outputs
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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#s(literal -1 binary64)
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(* -7/360 (pow v 4))
(*.f64 #s(literal -7/360 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))
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(* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
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(* (pow v 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow v 2))) (pow v 2))) 7/360))
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(* e v)
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(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
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(* e (sin v))
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(* e (sin v))
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(/ 1 (* e (sin v)))
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(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
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(* e v)
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
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1
#s(literal 1 binary64)
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(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
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(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
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-1/6
#s(literal -1/6 binary64)
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(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
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(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
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(*.f64 (*.f64 v v) #s(literal -7/360 binary64))
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(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
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(*.f64 (*.f64 v v) #s(literal -7/360 binary64))
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(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
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(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))
(* -1 (* (pow v 2) (+ 7/360 (* 1/6 (/ 1 (pow v 2))))))
(fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64))

eval229.0ms (2.4%)

Memory
14.7MiB live, 365.4MiB allocated
Compiler

Compiled 44 171 to 3 232 computations (92.7% saved)

prune227.0ms (2.4%)

Memory
2.4MiB live, 457.1MiB allocated
Pruning

50 alts after pruning (43 fresh and 7 done)

PrunedKeptTotal
New1 891161 907
Fresh52732
Picked415
Done066
Total1 900501 950
Accuracy
100.0%
Counts
1 950 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.7%
(/.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 0 binary64) v)))))
32.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 e (fma.f64 e e #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
56.4%
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
14.9%
(/.f64 (*.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) v) (fma.f64 e e #s(literal 0 binary64)))
45.7%
(/.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) e)
30.9%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
28.6%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (fma.f64 e e #s(literal 0 binary64)))
54.4%
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
76.8%
(/.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))) (sin.f64 v))
99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓56.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
98.9%
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
97.9%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
55.5%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
55.5%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
54.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
54.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
34.2%
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
55.1%
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
56.5%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
98.5%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
49.2%
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 e (-.f64 #s(literal 0 binary64) v))))
49.2%
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) v)))
76.8%
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)))
45.7%
(*.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) (/.f64 #s(literal 1 binary64) e))
✓99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (sin.f64 v))
18.3%
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
55.5%
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
55.1%
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
56.1%
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
34.4%
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
54.9%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
55.0%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
76.8%
(*.f64 e (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v)))) (sin.f64 v)))
98.9%
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
54.9%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓55.0%
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
54.6%
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
56.1%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
34.1%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
34.1%
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
✓98.1%
(*.f64 e (sin.f64 v))
✓55.6%
(*.f64 e v)
3.9%
(*.f64 #s(literal 360/7 binary64) (/.f64 e (*.f64 v (*.f64 v v))))
✓4.7%
v
Compiler

Compiled 1 574 to 664 computations (57.8% saved)

regimes70.0ms (0.7%)

Memory
-14.8MiB live, 98.3MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 360/7 binary64) (/.f64 e (*.f64 v (*.f64 v v))))
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) v) (fma.f64 e e #s(literal 0 binary64)))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 e (-.f64 #s(literal 0 binary64) v))))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (fma.f64 e e #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 e (fma.f64 e e #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
(*.f64 (fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v)))) (sin.f64 v)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (sin.f64 v))
(/.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 v v))))) (sin.f64 v))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Calls

3 calls:

23.0ms
v
20.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
19.0ms
e
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes42.0ms (0.4%)

Memory
13.2MiB live, 55.0MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 360/7 binary64) (/.f64 e (*.f64 v (*.f64 v v))))
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) v) (fma.f64 e e #s(literal 0 binary64)))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 e (-.f64 #s(literal 0 binary64) v))))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (fma.f64 e e #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 e (fma.f64 e e #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
(*.f64 (fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
Calls

2 calls:

21.0ms
e
17.0ms
v
Results
AccuracySegmentsBranch
99.0%1e
99.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory
6.6MiB live, 43.9MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 360/7 binary64) (/.f64 e (*.f64 v (*.f64 v v))))
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) v) (fma.f64 e e #s(literal 0 binary64)))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 e (-.f64 #s(literal 0 binary64) v))))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
Calls

2 calls:

15.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
98.5%1e
98.5%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory
5.5MiB live, 43.3MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 360/7 binary64) (/.f64 e (*.f64 v (*.f64 v v))))
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) v) (fma.f64 e e #s(literal 0 binary64)))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 e (-.f64 #s(literal 0 binary64) v))))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

15.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
98.1%1e
98.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory
-8.1MiB live, 30.7MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
(-.f64 v (/.f64 v e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v))))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) v))
(*.f64 #s(literal 360/7 binary64) (/.f64 e (*.f64 v (*.f64 v v))))
(*.f64 (*.f64 e e) (*.f64 v (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 e v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 e e #s(literal 0 binary64)) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e (*.f64 v (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) v) (fma.f64 e e #s(literal 0 binary64)))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 e (-.f64 #s(literal 0 binary64) v))))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 e v) (-.f64 (fma.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 e (fma.f64 e e #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v))
(*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(*.f64 e (*.f64 v (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (-.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) e))
(/.f64 (*.f64 (*.f64 e v) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
Calls

2 calls:

23.0ms
e
12.0ms
v
Results
AccuracySegmentsBranch
56.5%1e
56.5%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) e))
(-.f64 v (/.f64 v e))
Outputs
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
56.1%1e
56.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
Outputs
(*.f64 e v)
Calls

2 calls:

2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
55.6%1v
55.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
4.7%1e
4.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify22.0ms (0.2%)

Memory
-31.8MiB live, 10.1MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
6×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
13248
23648
33848
43948
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v
Outputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) e))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v

soundness702.0ms (7.3%)

Memory
8.6MiB live, 524.7MiB allocated
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
8 556×accelerator-lowering-fma.f32
8 556×accelerator-lowering-fma.f64
7 380×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04924099
115783955
249523913
081703710
01951209
15841194
216521162
349071089
080391013
023105
112497
299696
0961488
0929
13629
223529
3209329
0835227
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 149 to 85 computations (43% saved)

preprocess54.0ms (0.6%)

Memory
15.4MiB live, 90.5MiB allocated
Remove

(negabs v)

Compiler

Compiled 222 to 118 computations (46.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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