Metrics for Trigonometry A

analyze11.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 20 to 13 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 1.0ms (22.2% of total)

ival-mult: 1.0ms (22.2% of total)

ival-sin: 1.0ms (22.2% of total)

ival-cos: 1.0ms (22.2% of total)

ival-<=: 1.0ms (22.2% of total)

ival-div: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.6s (17.5%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-<=: 324.0ms (30.8% of total)

ival-sin: 244.0ms (23.2% of total)

ival-cos: 194.0ms (18.5% of total)

ival-mult: 133.0ms (12.7% of total)

ival-div: 74.0ms (7% of total)

ival-add: 50.0ms (4.8% of total)

ival-and: 17.0ms (1.6% of total)

const: 12.0ms (1.1% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess122.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

2078×	`fnmadd-define`
1544×	`fma-define`
1136×	`fmsub-define`
1126×	`fnmsub-define`
1014×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	72
1	72	62
2	167	61
3	432	60
4	1214	60
5	2446	60
6	3686	60
7	4080	60
8	4511	60
9	5332	60
10	5863	60
11	6275	60
12	6474	60
13	6549	60
14	6565	60
0	9	11
1	16	10
2	21	10
3	22	10
0	22	10

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)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

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)) (fmsub e (cos v) -1))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(* (sin v) (/ e (fmsub e (cos v) 1)))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(/ (* e (sin v)) (fnmsub e (cos v) 1))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(* (sin v) (/ e (fnmsub e (cos v) -1)))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* e (sin v)) (fmsub e (cos v) -1))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
(/ (* v (sin e)) (fmsub v (cos e) -1))

Symmetry

(negabs v)

explain136.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(cos.f64 v)`
-	-	`(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))`
-	-	`v`
-	-	`(sin.f64 v)`
-	-	`(*.f64 e (sin.f64 v))`
-	-	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
-	-	`(*.f64 e (cos.f64 v))`
-	-	`e`
-	-	`#s(literal 1 binary64)`

Results

93.0ms

512×

valid

Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-cos: 15.0ms (30.5% of total)

ival-sin: 13.0ms (26.4% of total)

ival-div: 9.0ms (18.3% of total)

ival-mult: 8.0ms (16.2% of total)

ival-add: 4.0ms (8.1% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓	cost-diff	(sin.f64 v)
✓	cost-diff	(*.f64 e (sin.f64 v))
✓	cost-diff	(/.f64 (.f64 e (sin.f64 v)) (+.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: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	16	30
2	21	30
3	22	30
0	22	30

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)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)

localize78.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))

Results

66.0ms

256×

valid

Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 27.0ms (66% of total)

ival-sin: 6.0ms (14.7% of total)

ival-mult: 4.0ms (9.8% of total)

ival-div: 2.0ms (4.9% of total)

ival-add: 1.0ms (2.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (cos v)>

Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* 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 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 (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:

Time	Variable		Point	Expression
2.0ms	e	@	-inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	0	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	-inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	e	@	0	(* e (sin v))

rewrite217.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`fnmadd-define`
1344×	`-lowering-.f32`
1344×	`-lowering-.f64`
1296×	`--lowering--.f32`
1296×	`--lowering--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	23	27
2	81	27
3	368	27
4	1761	27
5	5356	27
0	8374	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 203

Calls

Call 1

Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)

Outputs
(+.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 0 binary64)) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(+.f64 (.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) #s(literal 0 binary64)) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(+.f64 (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) #s(literal 0 binary64)) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(exp.f64 (log.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(exp.f64 (.f64 (log.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) e)) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) #s(literal 0 binary64) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal 2 binary64)) (.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal 2 binary64))) (.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(/.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(*.f64 e (cos.f64 v))
(*.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)))
(*.f64 e (/.f64 (cos.f64 v) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (cos.f64 v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) (-.f64 #s(literal 0 binary64) e))
(cos.f64 v)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 v)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)))
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 v)))

simplify239.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3936×	`-lowering-.f32`
3936×	`-lowering-.f64`
1806×	`+-lowering-+.f64`
1806×	`+-lowering-+.f32`
1756×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1175
1	630	1044
2	2018	1012
3	6590	1012
0	8164	1012

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (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)
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 (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
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 e (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (+.f64 (sin.f64 v) (.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(* 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 (+.f64 (.f64 e (.f64 (neg.f64 (.f64 e (sin.f64 v))) (.f64 (cos.f64 v) (.f64 (cos.f64 v) (+.f64 (.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.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 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.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))
(/ (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 (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e 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 (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))) (.f64 (.f64 v v) (+.f64 (.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 e e)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))) (.f64 (.f64 v v) (+.f64 (+.f64 (.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 e e)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (.f64 (.f64 v v) (-.f64 (-.f64 (/.f64 (.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1/720 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))) (.f64 e (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))) #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(.f64 v (+.f64 e (.f64 (.f64 e (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(.f64 v (+.f64 e (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/6 binary64)) (.f64 (.f64 v v) (.f64 e (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 v v) #s(literal -1/5040 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))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 v v) #s(literal -1/5040 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)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/2 binary64))) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 e (+.f64 #s(literal 1 binary64) (.f64 (.f64 e (.f64 v v)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 v v) #s(literal 1/24 binary64))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (.f64 v v)) (+.f64 #s(literal 1/24 binary64) (.f64 v (.f64 v #s(literal -1/720 binary64)))))))))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.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 (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (.f64 (.f64 e (.f64 v v)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 v v) #s(literal 1/24 binary64)))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (.f64 v v)) (+.f64 #s(literal 1/24 binary64) (.f64 v (.f64 v #s(literal -1/720 binary64))))))))
(* 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)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) #s(literal 1/24 binary64)))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 1/24 binary64) (.f64 v (.f64 v #s(literal -1/720 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)

eval35.0ms (0.4%)

Compiler: Compiled 5057 to 648 computations (87.2% saved)

prune35.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	315	8	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	315	9	324

Accuracy

99.9%

Counts

324 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
✓	99.8%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
▶	50.7%	(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
▶	99.6%	(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
	50.1%	(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
▶	98.5%	(*.f64 e (sin.f64 v))
	99.6%	(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))

Compiler

Compiled 259 to 165 computations (36.3% saved)

simplify180.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 e (cos.f64 v))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
✓	cost-diff	0	(*.f64 e (cos.f64 v))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(*.f64 e (sin.f64 v))
✓	cost-diff	0	(+.f64 e #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	0	(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 e (cos.f64 v))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓	cost-diff	128	(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))

Rules

2144×	`sum3-define`
1608×	`sum5-define`
1028×	`-lowering-.f32`
1028×	`-lowering-.f64`
1024×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	150
1	48	143
2	99	141
3	250	141
4	657	137
5	2025	131
6	5091	131
0	8211	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* e (sin v))
e
(sin v)
v
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
1
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(+ 1 (* e (cos v)))
(* e (cos v))
e
(cos v)
v
(* e (sin v))
(sin v)
(/ (/ 1 (- -1 (* e (cos v)))) (/ (/ -1 (sin v)) e))
(/ 1 (- -1 (* e (cos v))))
1
(- -1 (* e (cos v)))
-1
(* e (cos v))
e
(cos v)
v
(/ (/ -1 (sin v)) e)
(/ -1 (sin v))
(sin v)

Outputs
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(/ (* e v) (+ e 1))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* e v)
(*.f64 e v)
e
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(cos v)
(cos.f64 v)
v
(* e (sin v))
(*.f64 e (sin.f64 v))
(sin v)
(sin.f64 v)
(/ (/ 1 (- -1 (* e (cos v)))) (/ (/ -1 (sin v)) e))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ 1 (- -1 (* e (cos v))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
1
#s(literal 1 binary64)
(- -1 (* e (cos v)))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
-1
#s(literal -1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(cos v)
(cos.f64 v)
v
(/ (/ -1 (sin v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(sin v)
(sin.f64 v)

localize146.0ms (1.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (sin.f64 v))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
✓	accuracy	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	100.0%	(+.f64 e #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.7%	(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))

Results

109.0ms

256×

valid

Compiler

Compiled 160 to 22 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 18.0ms (42.7% of total)

ival-cos: 8.0ms (19% of total)

ival-mult: 6.0ms (14.2% of total)

ival-sin: 6.0ms (14.2% of total)

ival-add: 3.0ms (7.1% of total)

ival-sub: 2.0ms (4.7% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series28.0ms (0.3%)

Counts

17 → 360

Calls

Call 1

Inputs
#<alt (/ e (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (/ 1 (- -1 (* e (cos v)))) (/ (/ -1 (sin v)) e))>
#<alt (/ 1 (- -1 (* e (cos v))))>
#<alt (- -1 (* e (cos v)))>
#<alt (cos v)>
#<alt (/ (/ -1 (sin v)) e)>
#<alt (/ -1 (sin v))>

Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<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 (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt -1>
#<alt (- (* 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))))>
#<alt -1>
#<alt (- (* -1 (* e (cos v))) 1)>
#<alt (- (* -1 (* e (cos v))) 1)>
#<alt (- (* -1 (* e (cos v))) 1)>
#<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 (* e (cos v)))>
#<alt (* -1 (* e (- (/ 1 e) (* -1 (cos v)))))>
#<alt (* -1 (* e (- (/ 1 e) (* -1 (cos v)))))>
#<alt (* -1 (* e (- (/ 1 e) (* -1 (cos v)))))>
#<alt (* -1 (+ 1 e))>
#<alt (- (* 1/2 (* e (pow v 2))) (+ 1 e))>
#<alt (- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 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 (* -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 (* 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 (/ -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 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))>

Calls

90 calls:

Time	Variable		Expression
3.0ms	e	@	(/ 1 (- -1 (* e (cos v))))
2.0ms	e	@	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
2.0ms	v	@	(/ (/ -1 (sin v)) e)
1.0ms	v	@	(/ 1 (- -1 (* e (cos v))))
1.0ms	v	@	(/ (+ 1 (* e (cos v))) (* e (sin v)))

rewrite238.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2150×	`-lowering-.f32`
2150×	`-lowering-.f64`
2130×	`/-lowering-/.f32`
2130×	`/-lowering-/.f64`
1350×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	105	99
2	596	97
3	2896	97
0	8380	97

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 965

Calls

Call 1

Inputs
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(* e (sin v))
(sin v)
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/ (/ 1 (- -1 (* e (cos v)))) (/ (/ -1 (sin v)) e))
(/ 1 (- -1 (* e (cos v))))
(- -1 (* e (cos v)))
(cos v)
(/ (/ -1 (sin v)) e)
(/ -1 (sin v))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(exp.f64 (log.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(exp.f64 (.f64 (log.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) e)) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(neg.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
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(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(+.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(exp.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(fma.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))
(fma.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) e) (cos.f64 v) #s(literal -1 binary64))
(fma.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) e #s(literal -1 binary64))
(fma.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64)) e #s(literal -1 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal -1 binary64))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(cos.f64 v)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 v)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 v)))
(/.f64 (cos.f64 v) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 v)))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 e (.f64 (-.f64 #s(literal 0 binary64) e) (.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) e)) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) (*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))) e)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))) (-.f64 #s(literal 0 binary64) e))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) e) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) (*.f64 (-.f64 #s(literal 0 binary64) e) e))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) e))) (*.f64 e (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))

simplify332.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4434×	`-lowering-.f32`
4434×	`-lowering-.f64`
1880×	`+-lowering-+.f64`
1880×	`+-lowering-+.f32`
1510×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	4283
1	1525	3796
2	4861	3760
0	8282	3760

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 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 (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* 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))))
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Outputs
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
-1
#s(literal -1 binary64)
(- (* e (cos v)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 e (+.f64 (cos.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 e)))))
(- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 e (+.f64 (cos.f64 v) (.f64 e (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))))
(/ -1 (* e (cos v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 v))) e)
(/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)
(/ (- (+ (/ 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)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) (/.f64 #s(literal 1 binary64) (cos.f64 v)))) e)
(/ -1 (* e (cos v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 e))
(* -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 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (neg.f64 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 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) (neg.f64 e))
(/ -1 (+ 1 e))
(/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64)))
(- (* -1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e (.f64 v v))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(- (* (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)))
(+.f64 (.f64 (.f64 v v) (+.f64 (.f64 (+.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) (.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 e #s(literal 1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 v v))) (/.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(- (* (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)))
(+.f64 (.f64 (.f64 v v) (+.f64 (.f64 (.f64 v v) (-.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) (+.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) (.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 (.f64 e e) #s(literal -1/48 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 (.f64 e #s(literal 1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (.f64 #s(literal -1 binary64) (.f64 v v))) (+.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) (.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 (.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
-1
#s(literal -1 binary64)
(- (* -1 (* e (cos v))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(- (* -1 (* e (cos v))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(- (* -1 (* e (cos v))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (+ (cos v) (/ 1 e))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (+ (cos v) (/ 1 e))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (+ (cos v) (/ 1 e))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 e))
(+.f64 #s(literal -1 binary64) (neg.f64 e))
(- (* 1/2 (* e (pow v 2))) (+ 1 e))
(-.f64 (+.f64 (.f64 (.f64 e (*.f64 v v)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) e)
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e))
(-.f64 (.f64 (.f64 v v) (+.f64 (.f64 (.f64 e (.f64 v v)) #s(literal -1/24 binary64)) (.f64 e #s(literal 1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 e))
(-.f64 (.f64 (.f64 v v) (+.f64 (.f64 (.f64 v v) (+.f64 (.f64 e (.f64 (.f64 v v) #s(literal 1/720 binary64))) (.f64 e #s(literal -1/24 binary64)))) (*.f64 e #s(literal 1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/2 binary64))))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) #s(literal 1/24 binary64)))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 1/24 binary64) (.f64 v (.f64 v #s(literal -1/720 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)
(/ -1 (* e v))
(/.f64 #s(literal -1 binary64) (*.f64 e v))
(/ (- (* -1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (/.f64 #s(literal -1 binary64) e)) v)
(/ (- (* (pow v 2) (- (* -7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (+.f64 (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 (.f64 v v) #s(literal -7/360 binary64)) e) (/.f64 #s(literal -1/6 binary64) e))) (/.f64 #s(literal -1 binary64) 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)
(/.f64 (+.f64 (.f64 (.f64 v v) (+.f64 (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 (.f64 v v) #s(literal -31/15120 binary64)) e) (/.f64 #s(literal -7/360 binary64) e))) (/.f64 #s(literal -1/6 binary64) e))) (/.f64 #s(literal -1 binary64) e)) v)
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(/ (- (* -1/6 (pow v 2)) 1) v)
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal -7/360 binary64)))))) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) v)
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -7/360 binary64) (.f64 (.f64 v v) #s(literal -31/15120 binary64))))))) v)
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))

eval214.0ms (2.3%)

Compiler: Compiled 31344 to 3320 computations (89.4% saved)

prune186.0ms (2%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1620	24	1644
Fresh	1	2	3
Picked	4	1	5
Done	0	1	1
Total	1625	28	1653

Accuracy

100.0%

Counts

1653 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
	65.7%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 e (.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 e (sin.f64 v)))))
	64.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
	99.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
✓	99.8%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	50.7%	(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
	51.7%	(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
	50.6%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
	95.4%	(/.f64 e (/.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))))
	98.3%	(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
	50.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
▶	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
	97.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	72.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) e) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)))) (.f64 (-.f64 #s(literal 0 binary64) e) e)))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (/.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) e)) (sin.f64 v)) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) (sin.f64 v))))
▶	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
▶	50.1%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
	2.4%	(-.f64 v (/.f64 v e))
	50.7%	(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
	50.1%	(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
	49.2%	(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
	50.4%	(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
	49.2%	(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
✓	98.5%	(*.f64 e (sin.f64 v))
	49.8%	(*.f64 e v)
▶	4.2%	v

Compiler

Compiled 917 to 557 computations (39.3% saved)

simplify175.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
✓	cost-diff	128	(*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) e)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1 binary64) e) e)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) e)
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	128	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓	cost-diff	128	(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))

Rules

1696×	`fnmadd-define`
1672×	`sum4-define`
1606×	`sum5-define`
1474×	`fmsub-define`
1466×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	194
1	81	183
2	228	177
3	802	157
4	3259	154
0	8408	154

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (sin v) (/ 1 e)) (+ 1 (* e (cos v))))
(/ (sin v) (/ 1 e))
(sin v)
v
(/ 1 e)
1
e
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
v
(/ -1 (/ (/ (- -1 e) e) v))
-1
(/ (/ (- -1 e) e) v)
(/ (- -1 e) e)
(- -1 e)
e
v
(/ 1 (/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v))
1
(/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v)
(+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e))))))
(- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))
(/ 1 e)
e
(* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e))))
(* v v)
v
(+ 1/2 (* (+ e 1) (/ -1/6 e)))
1/2
(* (+ e 1) (/ -1/6 e))
(+ e 1)
(/ -1/6 e)
-1/6
(/ 1 (/ (/ 1 (sin v)) e))
1
(/ (/ 1 (sin v)) e)
(/ 1 (sin v))
(sin v)
v
e

Outputs
(/ (/ (sin v) (/ 1 e)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (/ 1 e))
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(/ -1 (/ (/ (- -1 e) e) v))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
-1
#s(literal -1 binary64)
(/ (/ (- -1 e) e) v)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)) v)
(/ (- -1 e) e)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))
(- -1 e)
(-.f64 #s(literal -1 binary64) e)
e
v
(/ 1 (/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
(/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v)
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (.f64 v (.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))))
(- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))
(+.f64 (/.f64 #s(literal 1 binary64) e) (.f64 v (.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)))))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
(* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e))))
(.f64 v (.f64 v (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))
(* v v)
(*.f64 v v)
v
(+ 1/2 (* (+ e 1) (/ -1/6 e)))
(+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))
1/2
#s(literal 1/2 binary64)
(* (+ e 1) (/ -1/6 e))
(+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal -1/6 binary64))
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
-1/6
#s(literal -1/6 binary64)
(/ 1 (/ (/ 1 (sin v)) e))
(*.f64 (sin.f64 v) e)
1
#s(literal 1 binary64)
(/ (/ 1 (sin v)) e)
(/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin v)
(sin.f64 v)
v
e

localize212.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
✓	accuracy	99.4%	(/.f64 #s(literal -1/6 binary64) e)
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
✓	accuracy	90.1%	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v)
✓	accuracy	88.6%	(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e))))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) e)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal -1 binary64) e) e)
✓	accuracy	99.7%	(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.6%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))

Results

162.0ms

256×

valid

Compiler

Compiled 219 to 31 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 34.0ms (50.1% of total)

ival-sin: 9.0ms (13.3% of total)

ival-mult: 7.0ms (10.3% of total)

ival-add: 5.0ms (7.4% of total)

ival-cos: 5.0ms (7.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (7.4% of total)

ival-sub: 3.0ms (4.4% of total)

const: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series42.0ms (0.5%)

Counts

19 → 348

Calls

Call 1

Inputs
#<alt (/ (/ (sin v) (/ 1 e)) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (/ 1 e))>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ -1 (/ (/ (- -1 e) e) v))>
#<alt (/ (/ (- -1 e) e) v)>
#<alt (/ (- -1 e) e)>
#<alt (- -1 e)>
#<alt (/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v)>
#<alt (+ 1/2 (* (+ e 1) (/ -1/6 e)))>
#<alt (* (+ e 1) (/ -1/6 e))>
#<alt (/ 1 (/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v))>
#<alt (/ 1 (/ (/ 1 (sin v)) e))>
#<alt (/ (/ 1 (sin v)) e)>
#<alt (/ 1 (sin v))>
#<alt (* e (cos v))>
#<alt (cos v)>
#<alt (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e))))>
#<alt (/ -1/6 e)>

Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt 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)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
#<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 (* e v))>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ -1 v)>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ -1 v)>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (/ -1 e)>
#<alt (/ (- (* -1 e) 1) e)>
#<alt (/ (- (* -1 e) 1) e)>
#<alt (/ (- (* -1 e) 1) e)>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 e)))>
#<alt (* -1 (+ 1 (/ 1 e)))>
#<alt (* -1 (+ 1 (/ 1 e)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 e)))>
#<alt (* -1 (+ 1 (/ 1 e)))>
#<alt (* -1 (+ 1 (/ 1 e)))>
#<alt -1>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (/ (- 1 (* -1/6 (pow v 2))) (* e v))>
#<alt (/ (- (+ (* e (- (/ 1 v) (* 1/3 v))) (/ 1 v)) (* -1/6 v)) e)>
#<alt (/ (- (+ (* e (- (/ 1 v) (* 1/3 v))) (/ 1 v)) (* -1/6 v)) e)>
#<alt (/ (- (+ (* e (- (/ 1 v) (* 1/3 v))) (/ 1 v)) (* -1/6 v)) e)>
#<alt (/ (- 1 (* 1/3 (pow v 2))) v)>
#<alt (- (+ (/ 1 v) (/ 1 (* e v))) (+ (* -1/6 (/ v e)) (* 1/3 v)))>
#<alt (- (+ (/ 1 v) (/ 1 (* e v))) (+ (* -1/6 (/ v e)) (* 1/3 v)))>
#<alt (- (+ (/ 1 v) (/ 1 (* e v))) (+ (* -1/6 (/ v e)) (* 1/3 v)))>
#<alt (/ (- 1 (* 1/3 (pow v 2))) v)>
#<alt (- (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))) (* 1/3 v))>
#<alt (- (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))) (* 1/3 v))>
#<alt (- (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))) (* 1/3 v))>
#<alt (/ (+ 1 (/ 1 e)) v)>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (* -1 (* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))>
#<alt (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))>
#<alt (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))>
#<alt (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))>
#<alt (* -1 (* v (+ 1/2 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))) (* -1/6 (/ (+ 1 e) e))))))>
#<alt (* -1 (* v (+ 1/2 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))) (* -1/6 (/ (+ 1 e) e))))))>
#<alt (* -1 (* v (+ 1/2 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))) (* -1/6 (/ (+ 1 e) e))))))>
#<alt (/ -1/6 e)>
#<alt (/ (- (* 1/3 e) 1/6) e)>
#<alt (/ (- (* 1/3 e) 1/6) e)>
#<alt (/ (- (* 1/3 e) 1/6) e)>
#<alt 1/3>
#<alt (- 1/3 (* 1/6 (/ 1 e)))>
#<alt (- 1/3 (* 1/6 (/ 1 e)))>
#<alt (- 1/3 (* 1/6 (/ 1 e)))>
#<alt 1/3>
#<alt (- 1/3 (* 1/6 (/ 1 e)))>
#<alt (- 1/3 (* 1/6 (/ 1 e)))>
#<alt (- 1/3 (* 1/6 (/ 1 e)))>
#<alt (/ -1/6 e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (/ (* e v) (- 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (- 1 (* 1/3 (pow v 2))))) (pow (- 1 (* -1/6 (pow v 2))) 2))) (/ v (- 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (- 1 (* 1/3 (pow v 2))) 2))) (pow (- 1 (* -1/6 (pow v 2))) 3)) (/ (* v (- 1 (* 1/3 (pow v 2)))) (pow (- 1 (* -1/6 (pow v 2))) 2)))) (/ v (- 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (- 1 (* 1/3 (pow v 2))) 3))) (pow (- 1 (* -1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (- 1 (* 1/3 (pow v 2))) 2)) (pow (- 1 (* -1/6 (pow v 2))) 3))))) (/ (* v (- 1 (* 1/3 (pow v 2)))) (pow (- 1 (* -1/6 (pow v 2))) 2)))) (/ v (- 1 (* -1/6 (pow v 2))))))>
#<alt (/ v (- 1 (* 1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (- 1 (* -1/6 (pow v 2)))) (* e (pow (- 1 (* 1/3 (pow v 2))) 2)))) (/ v (- 1 (* 1/3 (pow v 2)))))>
#<alt (- (+ (/ v (- 1 (* 1/3 (pow v 2)))) (/ (* v (pow (- 1 (* -1/6 (pow v 2))) 2)) (* (pow e 2) (pow (- 1 (* 1/3 (pow v 2))) 3)))) (/ (* v (- 1 (* -1/6 (pow v 2)))) (* e (pow (- 1 (* 1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (- 1 (* -1/6 (pow v 2))) 3)) (* (pow e 3) (pow (- 1 (* 1/3 (pow v 2))) 4)))) (/ v (- 1 (* 1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (- 1 (* -1/6 (pow v 2))) 2)) (* (pow e 2) (pow (- 1 (* 1/3 (pow v 2))) 3)))) (/ (* v (- 1 (* -1/6 (pow v 2)))) (* e (pow (- 1 (* 1/3 (pow v 2))) 2)))))>
#<alt (/ v (- 1 (* 1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- 1 (* 1/3 (pow v 2))) 2)))) (/ v (- 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- 1 (* 1/3 (pow v 2))) 3)))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- 1 (* 1/3 (pow v 2))) 2)))) e)) (/ v (- 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- 1 (* 1/3 (pow v 2))) 4)))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- 1 (* 1/3 (pow v 2))) 3)))) e)) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- 1 (* 1/3 (pow v 2))) 2)))) e)) (/ v (- 1 (* 1/3 (pow v 2)))))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (/ 1 (+ 1 (/ 1 e))) (/ (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (pow (+ 1 (/ 1 e)) 2))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)) (pow (+ 1 (/ 1 e)) 3)) (* -1 (/ (+ 1/2 (* -1/6 (/ (+ 1 e) e))) (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (/ (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 3)) (pow (+ 1 (/ 1 e)) 4)) (* -1 (/ (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2) (pow (+ 1 (/ 1 e)) 3))))) (* -1 (/ (+ 1/2 (* -1/6 (/ (+ 1 e) e))) (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ -1 (* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* e (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (/ 1 (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (pow v 2))) (/ 1 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)>
#<alt (/ (- (* -1 (/ (* (+ 1 (/ 1 e)) (+ (/ 1 (* e (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (/ 1 (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (* (pow v 4) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))) (+ (/ 1 (* e (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (+ (/ 1 (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (/ 1 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) v)>
#<alt (/ (- (* -1 (/ (* (pow (+ 1 (/ 1 e)) 2) (+ (/ 1 (* e (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (/ 1 (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (* (pow v 6) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (+ (/ 1 (* e (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (+ (/ 1 (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (+ (/ 1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (/ (* (+ 1 (/ 1 e)) (+ (/ 1 (* e (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (/ 1 (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (* (pow v 4) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))))) v)>
#<alt (/ -1 (* v (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))>
#<alt (* -1 (/ (+ (/ 1 (* e (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (+ (/ 1 (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))) (/ 1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))) v))>
#<alt (* -1 (/ (- (+ (/ 1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (/ (pow (+ 1 (/ 1 e)) 2) (* (pow v 4) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 3)))) (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2))))) v))>
#<alt (* -1 (/ (- (+ (/ 1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (/ (pow (+ 1 (/ 1 e)) 3) (* (pow v 6) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 4)))) (+ (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 2) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 2)))) (* -1 (/ (pow (+ 1 (/ 1 e)) 2) (* (pow v 4) (pow (+ 1/2 (* -1/6 (/ (+ 1 e) e))) 3)))))) v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ 1 (* e 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 (/ 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 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (* e (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)>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))>
#<alt (* -1/6 (/ (pow v 2) e))>
#<alt (/ (+ (* -1/6 (pow v 2)) (* 1/3 (* e (pow v 2)))) e)>
#<alt (/ (+ (* -1/6 (pow v 2)) (* 1/3 (* e (pow v 2)))) e)>
#<alt (/ (+ (* -1/6 (pow v 2)) (* 1/3 (* e (pow v 2)))) e)>
#<alt (* 1/3 (pow v 2))>
#<alt (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (* 1/3 (pow v 2))>
#<alt (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>
#<alt (/ -1/6 e)>

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(/ (/ 1 (sin v)) e)
2.0ms	e	@	0	(/ (- -1 e) e)
1.0ms	v	@	0	(/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v)
1.0ms	v	@	inf	(/ 1 (/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v))
1.0ms	v	@	inf	(/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v)

rewrite222.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2122×	`fma-lowering-fma.f32`
2122×	`fma-lowering-fma.f64`
1874×	`-lowering-.f32`
1874×	`-lowering-.f64`
1434×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	132
1	154	122
2	830	104
3	4486	104
0	8132	104

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 792

Calls

Call 1

Inputs
(/ (/ (sin v) (/ 1 e)) (+ 1 (* e (cos v))))
(/ (sin v) (/ 1 e))
(sin v)
(/ 1 e)
(/ -1 (/ (/ (- -1 e) e) v))
(/ (/ (- -1 e) e) v)
(/ (- -1 e) e)
(- -1 e)
(/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v)
(+ 1/2 (* (+ e 1) (/ -1/6 e)))
(* (+ e 1) (/ -1/6 e))
(/ 1 (/ (+ 1 (- (/ 1 e) (* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e)))))) v))
(/ 1 (/ (/ 1 (sin v)) e))
(/ (/ 1 (sin v)) e)
(/ 1 (sin v))
(* e (cos v))
(cos v)
(* (* v v) (+ 1/2 (* (+ e 1) (/ -1/6 e))))
(/ -1/6 e)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) e)))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))))
(neg.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) e)))
(neg.f64 (/.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) e) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 e (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 e (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 e (.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) e)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) e) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) e) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) e)) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) e)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) e)) (.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)) #s(literal -1 binary64))
(/.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) e))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)) (.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)) (.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) v) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))) #s(literal -1 binary64)) v)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) v)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))) #s(literal -1 binary64))
(*.f64 (sin.f64 v) e)
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) e))
(*.f64 e (sin.f64 v))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) e)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(.f64 (.f64 (sin.f64 v) e) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 e)) (.f64 #s(literal -1 binary64) (log.f64 (sin.f64 v)))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (sin.f64 v))) (.f64 #s(literal -1 binary64) (log.f64 e))))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal 1 binary64))
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(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (/.f64 #s(literal -1 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 v))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (sin.f64 v) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(.f64 e (.f64 #s(literal 1 binary64) (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)))
(.f64 (.f64 (cos.f64 v) #s(literal 1 binary64)) e)
(.f64 (.f64 (cos.f64 v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 v)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) v))))
(cos.f64 v)
(cos.f64 (-.f64 #s(literal 0 binary64) v))
(+.f64 (.f64 v (.f64 v #s(literal 1/2 binary64))) (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(+.f64 (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(-.f64 (.f64 v (.f64 v #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/6 binary64) e) (.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) e)))))
(-.f64 (.f64 v (.f64 v #s(literal 1/2 binary64))) (.f64 (.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/6 binary64) e)))
(fma.f64 v (.f64 v #s(literal 1/2 binary64)) (.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) e) (.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))))) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 v v) #s(literal 1/2 binary64) (.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(fma.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 v v) (.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(fma.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) e) (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e)))) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 v v)) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) e) (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e))) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)) (.f64 v v) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)) (/.f64 (.f64 v v) #s(literal 1 binary64)) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) e) (.f64 v (.f64 v (/.f64 #s(literal -1/6 binary64) e))) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e)))) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))) #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))) (/.f64 (.f64 v v) e) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) e) (.f64 v v)) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)) (-.f64 #s(literal 0 binary64) (.f64 v v))) #s(literal -1 binary64) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 v #s(literal 1/2 binary64)) v (.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(fma.f64 (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))) v (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 v (.f64 v (/.f64 #s(literal -1/6 binary64) e))) (+.f64 #s(literal 1 binary64) e) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) e) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) e) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 v v) e) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))) #s(literal 1 binary64)) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 v v) e) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 v v) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) e)) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 v v) (-.f64 #s(literal 0 binary64) e)) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 v (.f64 v (+.f64 #s(literal 1 binary64) e))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) e) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal -1/6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e) (.f64 v (*.f64 v #s(literal 1/2 binary64))))
(.f64 v (.f64 v (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))))
(.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))
(.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)) (.f64 v v))
(.f64 (.f64 v (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64))) v)
(exp.f64 (*.f64 (log.f64 (/.f64 e #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/6 binary64) e))
(neg.f64 (/.f64 #s(literal 1/6 binary64) e))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) e)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 e #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 e #s(literal -1/6 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 e #s(literal 1/6 binary64)))
(/.f64 #s(literal -1/6 binary64) e)
(/.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1 binary64))
(/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) e))
(pow.f64 (/.f64 e #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) e))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1/6 binary64))
(*.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1 binary64))

simplify310.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4144×	`-lowering-.f32`
4144×	`-lowering-.f64`
2052×	`+-lowering-+.f64`
2052×	`+-lowering-+.f32`
1740×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	3938
1	1726	3359
2	5760	3188
0	8189	3188

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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))))
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Outputs
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(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+.f64 e (.f64 e (.f64 (*.f64 v v) #s(literal -1/2 binary64))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 e (.f64 v (.f64 v #s(literal 1/24 binary64)))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e (.f64 (.f64 v v) #s(literal -1/720 binary64))) (*.f64 e #s(literal 1/24 binary64)))))))
(* 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)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v (+.f64 #s(literal -1/2 binary64) (.f64 v (.f64 v #s(literal 1/24 binary64)))))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 v v) #s(literal -1/720 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)
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* -1/6 (/ (pow v 2) e))
(/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
(/ (+ (* -1/6 (pow v 2)) (* 1/3 (* e (pow v 2)))) e)
(/.f64 (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/3 binary64)))) e)
(/ (+ (* -1/6 (pow v 2)) (* 1/3 (* e (pow v 2)))) e)
(/.f64 (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/3 binary64)))) e)
(/ (+ (* -1/6 (pow v 2)) (* 1/3 (* e (pow v 2)))) e)
(/.f64 (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/3 binary64)))) e)
(* 1/3 (pow v 2))
(.f64 (.f64 v v) #s(literal 1/3 binary64))
(+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
(+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
(+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
(* 1/3 (pow v 2))
(.f64 (.f64 v v) #s(literal 1/3 binary64))
(+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
(+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
(+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)

eval143.0ms (1.5%)

Compiler: Compiled 21393 to 3113 computations (85.4% saved)

prune161.0ms (1.7%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1177	21	1198
Fresh	7	14	21
Picked	2	3	5
Done	0	2	2
Total	1186	40	1226

Accuracy

100.0%

Counts

1226 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
	65.7%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 e (.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 e (sin.f64 v)))))
	5.0%	(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
	64.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
▶	99.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
✓	99.8%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
	50.9%	(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	51.7%	(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
	50.7%	(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
	5.6%	(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
	50.6%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
	95.4%	(/.f64 e (/.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))))
	98.3%	(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
	48.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
✓	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
	97.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	72.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) e) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)))) (.f64 (-.f64 #s(literal 0 binary64) e) e)))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (/.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) e)) (sin.f64 v)) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) (sin.f64 v))))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 e (+.f64 (/.f64 #s(literal 1 binary64) v) (.f64 v #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal 1/6 binary64)))) e))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
▶	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
	5.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
	5.0%	(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
	45.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
	49.2%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
▶	2.1%	(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
	2.4%	(-.f64 v (/.f64 v e))
	50.7%	(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
▶	50.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
	50.7%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
	49.6%	(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
	49.4%	(.f64 e (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))))))
	49.2%	(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
✓	98.5%	(*.f64 e (sin.f64 v))
▶	49.8%	(*.f64 e v)
✓	4.2%	v

Compiler

Compiled 1261 to 762 computations (39.6% saved)

simplify234.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))
✓	cost-diff	0	(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
✓	cost-diff	512	(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) e)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))))
✓	cost-diff	26496	(.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))

Rules

2940×	`-lowering-.f32`
2940×	`-lowering-.f64`
2408×	`/-lowering-/.f32`
2408×	`/-lowering-/.f64`
1282×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	365
1	114	350
2	363	327
3	1600	209
4	5837	209
0	8505	209

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))) (/ (- -1 (* e (cos v))) (* e (sin v))))
(- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v))))))
0
(* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))
(/ (- -1 (* e (cos v))) (sin v))
(- -1 (* e (cos v)))
-1
(* e (cos v))
e
(cos v)
v
(sin v)
(/ (sin v) (- -1 (* e (cos v))))
(/ (- -1 (* e (cos v))) (* e (sin v)))
(* e (sin v))
(* e v)
e
v
(* (/ 1 (+ 1 (/ 1 e))) v)
(/ 1 (+ 1 (/ 1 e)))
1
(+ 1 (/ 1 e))
(/ 1 e)
e
v
(/ 1 (/ (+ 1 (* (* v v) 1/6)) (* e v)))
1
(/ (+ 1 (* (* v v) 1/6)) (* e v))
(+ 1 (* (* v v) 1/6))
(* (* v v) 1/6)
(* v v)
v
1/6
(* e v)
e
(- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))
(/ v (+ 1 (* (* v v) -1/3)))
v
(+ 1 (* (* v v) -1/3))
1
(* (* v v) -1/3)
(* v v)
-1/3
(/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3)))))
(* v (+ 1 (* (* v v) 1/6)))
(+ 1 (* (* v v) 1/6))
(* (* v v) 1/6)
1/6
(* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))
e
(* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3)))

Outputs
(/ (- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))) (/ (- -1 (* e (cos v))) (* e (sin v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v))))))
#s(literal -1 binary64)
0
#s(literal 0 binary64)
(* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))
#s(literal 1 binary64)
(/ (- -1 (* e (cos v))) (sin v))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(- -1 (* e (cos v)))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
-1
#s(literal -1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(/ (sin v) (- -1 (* e (cos v))))
(/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/ (- -1 (* e (cos v))) (* e (sin v)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
e
v
(* (/ 1 (+ 1 (/ 1 e))) v)
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ 1 (+ 1 (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
v
(/ 1 (/ (+ 1 (* (* v v) 1/6)) (* e v)))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* v v) 1/6)) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (*.f64 e v))
(+ 1 (* (* v v) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64))))
(* (* v v) 1/6)
(.f64 v (.f64 v #s(literal 1/6 binary64)))
(* v v)
(*.f64 v v)
v
1/6
#s(literal 1/6 binary64)
(* e v)
(*.f64 e v)
e
(- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))))
(/ v (+ 1 (* (* v v) -1/3)))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))))
v
(+ 1 (* (* v v) -1/3))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -1/3)
(.f64 v (.f64 v #s(literal -1/3 binary64)))
(* v v)
(*.f64 v v)
-1/3
#s(literal -1/3 binary64)
(/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3)))))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal -1/3 binary64))))) e)
(* v (+ 1 (* (* v v) 1/6)))
(.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(+ 1 (* (* v v) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64))))
(* (* v v) 1/6)
(.f64 v (.f64 v #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))
(.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))
e
(* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal -1/3 binary64)))))

localize216.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -1/3 binary64))
✓	accuracy	92.7%	(.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))))
✓	accuracy	75.9%	(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
✓	accuracy	66.6%	(/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64))))))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	99.7%	(.f64 (.f64 v v) #s(literal 1/6 binary64))
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
✓	accuracy	95.4%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) e)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.6%	(.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
✓	accuracy	99.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))

Results

155.0ms

256×

valid

Compiler

Compiled 351 to 37 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 26.0ms (35.2% of total)

ival-mult: 18.0ms (24.3% of total)

...c/correct-round.rkt:119:19: 8.0ms (10.8% of total)

ival-sin: 7.0ms (9.5% of total)

ival-cos: 7.0ms (9.5% of total)

ival-add: 4.0ms (5.4% of total)

ival-sub: 4.0ms (5.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series28.0ms (0.3%)

Counts

20 → 384

Calls

Call 1

Inputs
#<alt (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))>
#<alt (- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v))))))>
#<alt (/ (- -1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))) (/ (- -1 (* e (cos v))) (* e (sin v))))>
#<alt (* e v)>
#<alt (* (/ 1 (+ 1 (/ 1 e))) v)>
#<alt (/ 1 (+ 1 (/ 1 e)))>
#<alt (+ 1 (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ 1 (/ (+ 1 (* (* v v) 1/6)) (* e v)))>
#<alt (/ (+ 1 (* (* v v) 1/6)) (* e v))>
#<alt (+ 1 (* (* v v) 1/6))>
#<alt (* (* v v) 1/6)>
#<alt (- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))>
#<alt (/ v (+ 1 (* (* v v) -1/3)))>
#<alt (+ 1 (* (* v v) -1/3))>
#<alt (* (* v v) -1/3)>
#<alt (* e (cos v))>
#<alt (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3)))))>
#<alt (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))>

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (/ -1 (* e (sin v)))>
#<alt (/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)>
#<alt (/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)>
#<alt (/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)>
#<alt (* -1 (/ (cos v) (sin v)))>
#<alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))>
#<alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))>
#<alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))>
#<alt (* -1 (/ (cos v) (sin v)))>
#<alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))>
#<alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))>
#<alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)>
#<alt (/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)>
#<alt (/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (- (* 1/36 (* e (pow v 2))) (* 1/6 e)))))>
#<alt (* v (+ e (* (pow v 2) (- (* (pow v 2) (- (* -1/216 (* e (pow v 2))) (* -1/36 e))) (* 1/6 e)))))>
#<alt (* 6 (/ e v))>
#<alt (/ (+ (* -36 (/ e (pow v 2))) (* 6 e)) v)>
#<alt (/ (- (+ (* 6 e) (* 216 (/ e (pow v 4)))) (* 36 (/ e (pow v 2)))) v)>
#<alt (/ (- (+ (* -1296 (/ e (pow v 6))) (* 6 e)) (+ (* -216 (/ e (pow v 4))) (* 36 (/ e (pow v 2))))) v)>
#<alt (* 6 (/ e v))>
#<alt (* -1 (/ (+ (* -6 e) (* 36 (/ e (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (* 36 (/ e (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (+ (* 36 (/ e (pow v 2))) (* 1296 (/ e (pow v 6)))))) 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 (/ 1 (* e v))>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (* 1/6 (/ v e))>
#<alt (* v (+ (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2)))))>
#<alt (* v (+ (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2)))))>
#<alt (* v (+ (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2)))))>
#<alt (* 1/6 (/ v e))>
#<alt (* v (+ (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2)))))>
#<alt (* v (+ (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2)))))>
#<alt (* v (+ (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2)))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<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) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/6 (pow v 2))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* 1/6 (pow v 2))>
#<alt (* v (- 1 (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- 1/3 (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- 1/9 (* 4/9 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- (+ 1/9 (* (pow v 2) (- 1/27 (* 11/54 (/ 1 e))))) (* 4/9 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* -1 (/ (+ 3 (* 3/2 (/ 1 e))) v))>
#<alt (/ (- (* -1 (/ (+ 9 (* 18 (/ 1 e))) (pow v 2))) (+ 3 (* 3/2 (/ 1 e)))) v)>
#<alt (/ (- (* -1 (/ (+ 27 (* 189/2 (/ 1 e))) (pow v 4))) (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 9 (/ 1 (pow v 2))) (/ 18 (* e (pow v 2))))))) v)>
#<alt (/ (- (* -1 (/ (+ 81 (* 405 (/ 1 e))) (pow v 6))) (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 9 (/ 1 (pow v 2))) (+ (/ 18 (* e (pow v 2))) (/ 27 (pow v 4)))))))) v)>
#<alt (* -1 (/ (+ 3 (* 3/2 (/ 1 e))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 9 (/ 1 (pow v 2))) (/ 18 (* e (pow v 2)))))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 9 (/ 1 (pow v 2))) (+ (/ 18 (* e (pow v 2))) (/ 27 (pow v 4))))))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (+ (/ 18 (* e (pow v 2))) (+ (/ 27 (pow v 4)) (/ 405 (* e (pow v 6)))))))))) v))>
#<alt (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (/ (- (/ (* e v) (+ 1 (* -1/3 (pow v 2)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)>
#<alt (/ (- (/ (* e v) (+ 1 (* -1/3 (pow v 2)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)>
#<alt (/ (- (/ (* e v) (+ 1 (* -1/3 (pow v 2)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt v>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* 1/9 (pow v 2))))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/9 (* 1/27 (pow v 2))))))))>
#<alt (/ -3 v)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))>
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow v 2)))) (pow v 2))) 3) v)>
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow v 2)))) (pow v 4))) (+ 3 (* 9 (/ 1 (pow v 2))))) v)>
#<alt (/ -3 v)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (/ 27 (pow v 4)))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (/ 27 (pow v 4))))) v))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (* -1/3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* -1/3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<alt (* -1/3 (pow v 2))>
#<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 (/ v e)>
#<alt (* v (+ (* 5/6 (/ (pow v 2) e)) (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (+ (* 4/9 (/ (pow v 2) e)) (* 5/6 (/ 1 e)))) (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 11/54 (/ (pow v 2) e)) (* 4/9 (/ 1 e)))) (* 5/6 (/ 1 e)))) (/ 1 e)))>
#<alt (/ 3/2 (* e v))>
#<alt (/ (+ (* 3/2 (/ 1 e)) (* 18 (/ 1 (* e (pow v 2))))) v)>
#<alt (/ (+ (* 3/2 (/ 1 e)) (+ (/ 18 (* e (pow v 2))) (/ 189/2 (* e (pow v 4))))) v)>
#<alt (/ (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 405 (/ 1 (* e (pow v 6)))) (/ 18 (* e (pow v 2)))))) v)>
#<alt (/ 3/2 (* e v))>
#<alt (/ (+ (* 3/2 (/ 1 e)) (* 18 (/ 1 (* e (pow v 2))))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 18 (/ 1 e)) (* 189/2 (/ 1 (* e (pow v 2))))) (pow v 2))) (* 3/2 (/ 1 e))) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 189/2 (/ 1 e)) (* 405 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 3/2 (/ 1 e)) (/ 18 (* e (pow v 2))))) v))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt e>
#<alt (+ e (* -2/3 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -2/3 e) (* 1/9 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -2/3 e) (* 1/9 (* e (pow v 2))))))>
#<alt (* 1/9 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (* 1/9 e)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* 1/9 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (* 1/9 e)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	e	@	-inf	(- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))
2.0ms	v	@	inf	(* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))
1.0ms	e	@	0	(- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))
1.0ms	v	@	inf	(- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))
1.0ms	e	@	0	(/ 1 (/ (+ 1 (* (* v v) 1/6)) (* e v)))

rewrite298.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4642×	`-lowering-.f32`
4642×	`-lowering-.f64`
3598×	`/-lowering-/.f32`
3598×	`/-lowering-/.f64`
902×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	210
1	187	139
2	1177	135
0	8699	135

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 822

Calls

Call 1

Inputs
(* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))
(- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v))))))
(/ (- -1 (* e (cos v))) (* e (sin v)))
(/ (- 0 (* (/ (- -1 (* e (cos v))) (sin v)) (/ (sin v) (- -1 (* e (cos v)))))) (/ (- -1 (* e (cos v))) (* e (sin v))))
(* e v)
(* (/ 1 (+ 1 (/ 1 e))) v)
(/ 1 (+ 1 (/ 1 e)))
(+ 1 (/ 1 e))
(/ 1 e)
(/ 1 (/ (+ 1 (* (* v v) 1/6)) (* e v)))
(/ (+ 1 (* (* v v) 1/6)) (* e v))
(+ 1 (* (* v v) 1/6))
(* (* v v) 1/6)
(- (/ v (+ 1 (* (* v v) -1/3))) (/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))))
(/ v (+ 1 (* (* v v) -1/3)))
(+ 1 (* (* v v) -1/3))
(* (* v v) -1/3)
(* e (cos v))
(/ (* v (+ 1 (* (* v v) 1/6))) (* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3)))))
(* e (* (+ 1 (* (* v v) -1/3)) (+ 1 (* (* v v) -1/3))))

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))) (fma.f64 (*.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) (sin.f64 v))) #s(literal 1 binary64) (/.f64 (cos.f64 v) (sin.f64 v))))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 (cos.f64 v) (sin.f64 v))))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))) (fma.f64 (neg.f64 (/.f64 (cos.f64 v) e)) (/.f64 e (sin.f64 v)) (/.f64 (cos.f64 v) (sin.f64 v))))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))) (fma.f64 (neg.f64 (/.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) e) (/.f64 (cos.f64 v) (sin.f64 v))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) (.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (-.f64 #s(literal 0 binary64) (.f64 e (cos.f64 v)))))
(+.f64 (.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (neg.f64 (.f64 (/.f64 (cos.f64 v) (.f64 e (sin.f64 v))) e))) (fma.f64 (neg.f64 (/.f64 (cos.f64 v) (.f64 e (sin.f64 v)))) e (.f64 (/.f64 (cos.f64 v) (.f64 e (sin.f64 v))) e)))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (cos.f64 v)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (cos.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (cos.f64 v))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (.f64 e (cos.f64 v))))) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) (.f64 e (cos.f64 v)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (*.f64 e (cos.f64 v)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (-.f64 #s(literal 0 binary64) (.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal 1 binary64)) (*.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 e (sin.f64 v)))) (/.f64 (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 e (sin.f64 v))) (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 v) (.f64 e (.f64 e (cos.f64 v)))) (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(neg.f64 (/.f64 (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 e (sin.f64 v)) (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
(/.f64 (sin.f64 v) (.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (.f64 e (*.f64 e (cos.f64 v)))))))
(/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 e (sin.f64 v))))
(/.f64 (/.f64 (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64)) (.f64 e (sin.f64 v))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (/.f64 (+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) #s(literal 1 binary64)))) (sin.f64 v))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (.f64 e (.f64 e (cos.f64 v))))) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) (sin.f64 v)))) (.f64 e (sin.f64 v))) (.f64 (.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) (sin.f64 v)))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) e) (.f64 (.f64 e (sin.f64 v)) (/.f64 (.f64 e (cos.f64 v)) (sin.f64 v)))) (.f64 (*.f64 e (sin.f64 v)) e))
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simplify346.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4980×	`-lowering-.f32`
4980×	`-lowering-.f64`
2432×	`+-lowering-+.f64`
2432×	`+-lowering-+.f32`
1836×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	3968
1	1771	3408
2	5650	3369
0	9063	3369

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
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Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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1
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(/ 3/2 (* e v))
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(* -1 (/ (- (* -1 (/ (+ (* 189/2 (/ 1 e)) (* 405 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 3/2 (/ 1 e)) (/ 18 (* e (pow v 2))))) v))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64))))))
(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64))))))
(/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
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(* e (pow (+ 1 (* -1/3 (pow v 2))) 2))
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(* e (pow (+ 1 (* -1/3 (pow v 2))) 2))
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e
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(* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))
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(* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))
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(* 1/9 (* e (pow v 4)))
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(* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (* 1/9 e)))
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(* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 e #s(literal -2/3 binary64)) (.f64 v v)) (+.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) (.f64 e #s(literal 1/9 binary64)))))
(* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 e #s(literal -2/3 binary64)) (.f64 v v)) (+.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) (.f64 e #s(literal 1/9 binary64)))))

eval188.0ms (2%)

Compiler: Compiled 47634 to 3216 computations (93.2% saved)

prune173.0ms (1.9%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1456	14	1470
Fresh	9	21	30
Picked	4	1	5
Done	0	5	5
Total	1469	41	1510

Accuracy

100.0%

Counts

1510 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
	65.7%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 e (.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 e (sin.f64 v)))))
	5.0%	(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
	64.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
	75.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (.f64 (sin.f64 v) (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) #s(literal 1 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))
	97.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))))
	1.8%	(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) v)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))
	2.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
✓	99.8%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
	5.0%	(/.f64 (*.f64 e #s(literal 6 binary64)) v)
	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	50.8%	(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
	49.8%	(/.f64 v (/.f64 #s(literal 1 binary64) e))
	51.7%	(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
	50.7%	(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
	5.6%	(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
	95.4%	(/.f64 e (/.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))))
	98.3%	(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
	48.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
✓	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
	97.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	72.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) e) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)))) (.f64 (-.f64 #s(literal 0 binary64) e) e)))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (/.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) e)) (sin.f64 v)) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) (sin.f64 v))))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
	5.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
	10.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
	5.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
	45.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
	2.6%	(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
	1.6%	(-.f64 (/.f64 #s(literal -3 binary64) v) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
	2.4%	(-.f64 v (/.f64 v e))
	50.7%	(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
	50.9%	(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
	50.9%	(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
	88.9%	(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (.f64 e (sin.f64 v))))
	49.6%	(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
	49.2%	(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
✓	98.5%	(*.f64 e (sin.f64 v))
✓	49.8%	(*.f64 e v)
✓	4.2%	v

Compiler

Compiled 1801 to 707 computations (60.7% saved)

regimes64.0ms (0.7%)

Counts

68 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 e (+.f64 (/.f64 #s(literal 1 binary64) v) (.f64 v #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(-.f64 (/.f64 #s(literal -3 binary64) v) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 e (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) v)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 e (.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) e) (.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)))) (.f64 (-.f64 #s(literal 0 binary64) e) e)))
(/.f64 e (/.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))))
(.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (/.f64 (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) e)) (sin.f64 v)) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (.f64 (sin.f64 v) (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 v) #s(literal 1 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Calls

3 calls:

20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
19.0ms	v
17.0ms	e

Results

Accuracy	Segments	Branch
99.8%	1	`e`
99.8%	1	`v`
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)

regimes36.0ms (0.4%)

Counts

55 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 e (+.f64 (/.f64 #s(literal 1 binary64) v) (.f64 v #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(-.f64 (/.f64 #s(literal -3 binary64) v) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 e (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) v)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))

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

Calls

2 calls:

16.0ms	e
15.0ms	v

Results

Accuracy	Segments	Branch
99.6%	1	`e`
99.6%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes36.0ms (0.4%)

Counts

54 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 e (+.f64 (/.f64 #s(literal 1 binary64) v) (.f64 v #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(-.f64 (/.f64 #s(literal -3 binary64) v) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 e (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) v)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))

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

Calls

2 calls:

16.0ms	e
14.0ms	v

Results

Accuracy	Segments	Branch
99.6%	1	`e`
99.6%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes36.0ms (0.4%)

Counts

53 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 e (+.f64 (/.f64 #s(literal 1 binary64) v) (.f64 v #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(-.f64 (/.f64 #s(literal -3 binary64) v) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 e (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) v)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))

Outputs
(*.f64 e (sin.f64 v))

Calls

2 calls:

15.0ms	v
14.0ms	e

Results

Accuracy	Segments	Branch
98.5%	1	`e`
98.5%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts

48 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) e))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 e (+.f64 (/.f64 #s(literal 1 binary64) v) (.f64 v #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(-.f64 (/.f64 #s(literal -3 binary64) v) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
(.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 v v) (+.f64 (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (.f64 e (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(.f64 e (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e)))))) v))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) v)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) (/.f64 e v))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -1/3 binary64))))))

Outputs
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))

Calls

2 calls:

17.0ms	e
13.0ms	v

Results

Accuracy	Segments	Branch
51.7%	1	`e`
51.7%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.3%)

Counts

36 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))

Calls

2 calls:

10.0ms	e
10.0ms	v

Results

Accuracy	Segments	Branch
51.0%	1	`v`
51.0%	1	`e`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

35 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 e (-.f64 #s(literal -1 binary64) e)) (.f64 e e)) v))
(/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1/6 binary64))) (*.f64 e v)))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -1/6 binary64))))) e))

Outputs
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))

Calls

2 calls:

10.0ms	e
10.0ms	v

Results

Accuracy	Segments	Branch
50.9%	1	`e`
50.9%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 1/6 binary64)))) e))

Outputs
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)

Calls

2 calls:

9.0ms	e
8.0ms	v

Results

Accuracy	Segments	Branch
50.9%	1	`v`
50.9%	1	`e`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)

Outputs
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)

Calls

2 calls:

7.0ms	v
7.0ms	e

Results

Accuracy	Segments	Branch
50.9%	1	`v`
50.9%	1	`e`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3/2 binary64) e)) v)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(/.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/3 binary64))))
(.f64 e (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -1/6 binary64)))))
(.f64 e (+.f64 v (.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(.f64 v (+.f64 e (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))

Outputs
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)

Calls

2 calls:

6.0ms	v
6.0ms	e

Results

Accuracy	Segments	Branch
50.7%	1	`v`
50.7%	1	`e`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)

Outputs
(*.f64 e v)

Calls

2 calls:

5.0ms	e
2.0ms	v

Results

Accuracy	Segments	Branch
49.8%	1	`e`
49.8%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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	e
1.0ms	v

Results

Accuracy	Segments	Branch
4.2%	1	`e`
4.2%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
44×	`+-commutative_binary64`
26×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	113
1	79	113
2	101	113
3	121	113
4	145	113
5	158	113
6	164	113
7	165	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 e (sin.f64 v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e v)
v

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(/.f64 v (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal 1/2 binary64) #s(literal -1/6 binary64))))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) v))
(/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) e)
(.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))) v)
(.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e v)
v

soundness2.3s (24.6%)

Rules

4642×	`-lowering-.f32`
4642×	`-lowering-.f64`
4434×	`-lowering-.f32`
4434×	`-lowering-.f64`
4144×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	105	99
2	596	97
3	2896	97
0	8380	97
0	195	1175
1	630	1044
2	2018	1012
3	6590	1012
0	8164	1012
0	9	29
1	23	27
2	81	27
3	368	27
4	1761	27
5	5356	27
0	8374	27
0	36	210
1	187	139
2	1177	135
0	8699	135
0	30	132
1	154	122
2	830	104
3	4486	104
0	8132	104
0	454	4283
1	1525	3796
2	4861	3760
0	8282	3760
0	495	3938
1	1726	3359
2	5760	3188
0	8189	3188

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 364 to 216 computations (40.7% saved)

preprocess78.0ms (0.8%)

Remove: (negabs v)
Compiler: Compiled 438 to 234 computations (46.6% saved)

analyze11.0ms (0.1%)

sample1.6s (17.5%)

preprocess122.0ms (1.3%)

explain136.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize78.0ms (0.8%)

series12.0ms (0.1%)

rewrite217.0ms (2.3%)

simplify239.0ms (2.6%)

eval35.0ms (0.4%)

prune35.0ms (0.4%)

simplify180.0ms (1.9%)

localize146.0ms (1.6%)

series28.0ms (0.3%)

rewrite238.0ms (2.6%)

simplify332.0ms (3.6%)

eval214.0ms (2.3%)

prune186.0ms (2%)

simplify175.0ms (1.9%)

localize212.0ms (2.3%)

series42.0ms (0.5%)

rewrite222.0ms (2.4%)

simplify310.0ms (3.3%)

eval143.0ms (1.5%)

prune161.0ms (1.7%)

simplify234.0ms (2.5%)

localize216.0ms (2.3%)

series28.0ms (0.3%)

rewrite298.0ms (3.2%)

simplify346.0ms (3.7%)

eval188.0ms (2%)

prune173.0ms (1.9%)

regimes64.0ms (0.7%)

regimes36.0ms (0.4%)

regimes36.0ms (0.4%)

regimes36.0ms (0.4%)

regimes33.0ms (0.4%)

regimes23.0ms (0.3%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

simplify12.0ms (0.1%)

soundness2.3s (24.6%)

preprocess78.0ms (0.8%)

end0.0ms (0%)

Profiling