Metrics for expfmod (used to be hard to sample)

analyze265.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-fmod: 55.0ms (41.4% of total)

ival-exp: 26.0ms (19.6% of total)

ival-cos: 15.0ms (11.3% of total)

ival-sqrt: 14.0ms (10.5% of total)

ival-mult: 12.0ms (9% of total)

ival-neg: 9.0ms (6.8% of total)

const: 1.0ms (0.8% of total)

backward-pass: 1.0ms (0.8% of total)

sample7.2s (34.1%)

Results

3.7s	1546×	5	exit
1.6s	4833×	1	valid
613.0ms	1296×	2	valid
399.0ms	3230×	0	invalid
294.0ms	2127×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.5s

ival-cos: 3.1s (56.4% of total)

ival-fmod: 834.0ms (15.1% of total)

ival-exp: 685.0ms (12.4% of total)

backward-pass: 292.0ms (5.3% of total)

ival-sqrt: 291.0ms (5.3% of total)

ival-mult: 168.0ms (3% of total)

ival-neg: 134.0ms (2.4% of total)

const: 13.0ms (0.2% of total)

Bogosity

preprocess26.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

148×	`fma-define`
114×	`sum3-define`
92×	`fmsub-define`
70×	`fnmadd-define`
44×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	31
2	80	30
3	141	30
4	225	30
5	296	30
6	330	30
7	368	30
8	490	30
9	516	30
10	517	30
0	8	10
1	15	10
2	26	9
3	32	9
4	41	9
5	47	9
6	55	9
7	64	9
8	65	9
0	65	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))

Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Call 2

Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))

Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))
(* (fmod (recip (exp x)) (sqrt (cos x))) (exp x))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))
(* (fmod (recip (exp x)) (sqrt (cos x))) (neg (exp x)))

explain581.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
217	-	217	(-2.159778909122272e-194)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
2	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`x`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`

Results

244.0ms	334×	1	valid
242.0ms	66×	5	exit
50.0ms	92×	2	valid
3.0ms	20×	0	valid

Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-cos: 176.0ms (39.6% of total)

ival-neg: 141.0ms (31.7% of total)

ival-exp: 44.0ms (9.9% of total)

ival-fmod: 36.0ms (8.1% of total)

backward-pass: 23.0ms (5.2% of total)

ival-sqrt: 16.0ms (3.6% of total)

ival-mult: 8.0ms (1.8% of total)

const: 1.0ms (0.2% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 (cos.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Rules

2×	`fmod-lowering-fmod.f32`
2×	`cos-lowering-cos.f32`
2×	`sqrt-lowering-sqrt.f64`
2×	`exp-lowering-exp.f32`
2×	`fmod-lowering-fmod.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	6	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)

Outputs
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)

localize231.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Results

139.0ms	33×	5	exit
53.0ms	167×	1	valid
25.0ms	46×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-cos: 86.0ms (48.2% of total)

ival-exp: 50.0ms (28% of total)

ival-fmod: 19.0ms (10.6% of total)

backward-pass: 10.0ms (5.6% of total)

ival-sqrt: 7.0ms (3.9% of total)

ival-div: 5.0ms (2.8% of total)

const: 0.0ms (0% of total)

series4.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (exp x)>
#<alt (sqrt (cos x))>
#<alt (cos x)>

Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms	x	@	0	(sqrt (cos x))
0.0ms	x	@	inf	(sqrt (cos x))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`-lowering-.f32`
562×	`-lowering-.f64`
476×	`/-lowering-/.f32`
476×	`/-lowering-/.f64`
142×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	16	22
2	63	22
3	255	22
0	1335	22

Stop Event

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

Counts

5 → 124

Calls

Call 1

Inputs
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(sqrt (cos x))
(cos x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 0 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 (exp.f64 x) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(.f64 (/.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(+.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(+.f64 (exp.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(exp.f64 x)
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)

simplify258.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2250×	`--lowering--.f32`
2250×	`--lowering--.f64`
2058×	`-lowering-.f32`
2058×	`-lowering-.f64`
1860×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	395
1	228	360
2	769	347
3	3498	334
0	8360	334

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval33.0ms (0.2%)

Compiler: Compiled 3350 to 464 computations (86.1% saved)

prune31.0ms (0.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	209	13	222
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	209	14	223

Accuracy

19.2%

Counts

223 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
	6.0%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))) (exp.f64 x))
▶	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	5.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	16.8%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.3%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
▶	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
	6.3%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))

Compiler

Compiled 422 to 284 computations (32.7% saved)

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	cost-diff	64	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	0	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Rules

2420×	`sum5-define`
1912×	`fma-define`
1552×	`sum4-define`
1454×	`sum3-define`
1086×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	282
1	83	255
2	217	254
3	530	254
4	1123	254
5	1592	254
6	1679	254
7	1697	254
8	1851	254
9	4041	254
10	5429	254
11	5551	254
12	5553	254
0	5553	254

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
1
(sqrt (cos x))
(cos x)
x
(exp x)
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
x
1
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24))))))))
(exp x)
x
(sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))
(+ 1 (* x (* x (+ -1/2 (* x (* x 1/24))))))
1
(* x (* x (+ -1/2 (* x (* x 1/24)))))
(* x (+ -1/2 (* x (* x 1/24))))
(+ -1/2 (* x (* x 1/24)))
-1/2
(* x (* x 1/24))
(* x 1/24)
1/24
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
1
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(exp x)
x
(fmod (exp x) (pow (cos x) 1/2))
(pow (cos x) 1/2)
(cos x)
1/2

Outputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
x
(exp x)
(exp.f64 x)
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
(exp x)
(exp.f64 x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
(+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
-1/4
#s(literal -1/4 binary64)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(+ -1/96 (* (* x x) -19/5760))
(+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))
-1/96
#s(literal -1/96 binary64)
(* (* x x) -19/5760)
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
-19/5760
#s(literal -19/5760 binary64)
(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (exp.f64 x))
(fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24))))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(exp x)
(exp.f64 x)
x
(sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* x (* x (+ -1/2 (* x (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
(* x (* x (+ -1/2 (* x (* x 1/24)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* x (+ -1/2 (* x (* x 1/24))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+ -1/2 (* x (* x 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x (* x 1/24))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1
#s(literal 1 binary64)
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp x)
(exp.f64 x)
x
(fmod (exp x) (pow (cos x) 1/2))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(pow (cos x) 1/2)
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
1/2
#s(literal 1/2 binary64)

localize1.2s (5.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	accuracy	99.2%	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -19/5760 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	61.9%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Results

411.0ms	172×	1	valid
376.0ms	33×	5	exit
249.0ms	45×	2	valid
13.0ms	1×	4	valid
8.0ms	5×	0	valid

Compiler

Compiled 322 to 39 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 823.0ms

ival-pow: 324.0ms (39.3% of total)

ival-cos: 108.0ms (13.1% of total)

ival-fmod: 102.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 71.0ms (8.6% of total)

backward-pass: 67.0ms (8.1% of total)

ival-div: 54.0ms (6.6% of total)

ival-mult: 46.0ms (5.6% of total)

ival-exp: 18.0ms (2.2% of total)

ival-add: 17.0ms (2.1% of total)

ival-sqrt: 14.0ms (1.7% of total)

const: 2.0ms (0.2% of total)

series22.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (sqrt (cos x))>
#<alt (cos x)>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (exp x) 1)>
#<alt (exp x)>
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))>
#<alt (/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))) (exp x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24))))))))>
#<alt (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))>
#<alt (/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))>
#<alt (pow (cos x) 1/2)>
#<alt (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* (* x x) -19/5760)>
#<alt (* x 1/24)>
#<alt (* x (* x 1/24))>
#<alt (fmod (exp x) (pow (cos x) 1/2))>

Outputs
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) 1) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))) (exp x))
1.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))

rewrite511.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3998×	`-lowering-.f32`
3998×	`-lowering-.f64`
3394×	`/-lowering-/.f32`
3394×	`/-lowering-/.f64`
1794×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	180
1	192	163
2	1398	163
0	8230	163

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 317

Calls

Call 1

Inputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
(sqrt (cos x))
(cos x)
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24))))))))
(sqrt (+ 1 (* x (* x (+ -1/2 (* x (* x 1/24)))))))
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
(pow (cos x) 1/2)
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(* x (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)
(* x 1/24)
(* x (* x 1/24))
(fmod (exp x) (pow (cos x) 1/2))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) (exp.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))))))
(.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) #s(literal -1 binary64)))
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(fma.f64 x #s(literal -1/96 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -19/5760 binary64)) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 #s(literal -1/96 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) x (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x #s(literal -19/5760 binary64)) (.f64 x x) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -19/5760 binary64) (*.f64 x #s(literal -1/96 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))) (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x)))
(/.f64 (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))) (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))))) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64)))) (-.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))) x) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64))) x) (-.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64))))) (neg.f64 (-.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64))) x)) (neg.f64 (-.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x))) (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x #s(literal -1/96 binary64))))))
(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))) x)
(.f64 (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(.f64 x (.f64 x #s(literal -19/5760 binary64)))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(.f64 #s(literal -19/5760 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -19/5760 binary64)) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))

simplify236.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2504×	`-lowering-.f32`
2504×	`-lowering-.f64`
1916×	`sum4-define`
1398×	`sum3-define`
1370×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	2945
1	914	2495
2	3526	2409
0	9394	2409

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(fmod 1 (sqrt (cos x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))

Outputs
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+.f64 (.f64 x (-.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x #s(literal -19/5760 binary64))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (.f64 x (-.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x #s(literal -19/5760 binary64)))))))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))))
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(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

eval152.0ms (0.7%)

Compiler: Compiled 16828 to 1503 computations (91.1% saved)

prune87.0ms (0.4%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	667	20	687
Fresh	3	5	8
Picked	2	3	5
Done	0	1	1
Total	672	29	701

Accuracy

40.6%

Counts

701 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	4.4%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
	12.1%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
	5.5%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))))))) (exp.f64 x))
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
▶	5.7%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	5.5%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
✓	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
▶	1.2%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) (exp.f64 x))
▶	24.1%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 x))
	2.5%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 x))
	0.7%	(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))) (exp.f64 x))
✓	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
✓	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	5.4%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
	5.4%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	5.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	16.6%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
	6.3%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
	5.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
▶	6.1%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
	5.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
	4.3%	(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
	5.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
	6.3%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))

Compiler

Compiled 981 to 639 computations (34.9% saved)

simplify240.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x)))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) (exp.f64 x))
✓	cost-diff	5824	(pow.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 x))
✓	cost-diff	256	(.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))

Rules

1858×	`-lowering-.f32`
1858×	`-lowering-.f64`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1700×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	427
1	116	394
2	321	392
3	894	392
4	2329	380
5	4413	379
6	6127	379
0	8276	379

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))) (exp x))
(fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24)))))
(exp x)
x
(* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))
(* x x)
(- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24)))
(sqrt 1/24)
1/24
(/ (/ 1/4 (* x x)) (sqrt 1/24))
(/ 1/4 (* x x))
1/4
(fmod (exp x) 1)
(exp x)
x
1
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(/ 1 (/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
1
(/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))
(exp x)
x
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))
(+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))
(* x (* x (+ -1/4 (* (* x x) -1/96))))
(* x (+ -1/4 (* (* x x) -1/96)))
(+ -1/4 (* (* x x) -1/96))
-1/4
(* (* x x) -1/96)
(* x x)
-1/96
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(exp x)
x
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
(pow x 6)
6
(- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))
-19/5760
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x))
(+ 1/96 (/ 1/4 (* x x)))
1/96
(/ 1/4 (* x x))
1/4
(* x x)

Outputs
(/ (fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 x))
(fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (+.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp x)
(exp.f64 x)
x
(* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))
(+.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* x x)
(*.f64 x x)
(- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24)))
(-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) x) x))
(sqrt 1/24)
(sqrt.f64 #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ (/ 1/4 (* x x)) (sqrt 1/24))
(/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) x) x)
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
(exp x)
(exp.f64 x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
-1/4
#s(literal -1/4 binary64)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(+ -1/96 (* (* x x) -19/5760))
(+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))
-1/96
#s(literal -1/96 binary64)
(* (* x x) -19/5760)
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
-19/5760
#s(literal -19/5760 binary64)
(+ 1 (* x (+ 1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x 1/2)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (exp.f64 x))
1
#s(literal 1 binary64)
(/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))))
(exp x)
(exp.f64 x)
x
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))))
(+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))
(* x (* x (+ -1/4 (* (* x x) -1/96))))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))
(* x (+ -1/4 (* (* x x) -1/96)))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))
(+ -1/4 (* (* x x) -1/96))
(+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))
-1/4
#s(literal -1/4 binary64)
(* (* x x) -1/96)
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* x x)
(*.f64 x x)
-1/96
#s(literal -1/96 binary64)
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))) (exp.f64 x))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))))
(exp x)
(exp.f64 x)
x
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
6
#s(literal 6 binary64)
(- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))
(+.f64 #s(literal -19/5760 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))
-19/5760
#s(literal -19/5760 binary64)
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))
(+ 1/96 (/ 1/4 (* x x)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64))
1/96
#s(literal 1/96 binary64)
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(* x x)
(*.f64 x x)

localize905.0ms (4.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) (exp.f64 x))
✓	accuracy	28.9%	(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
✓	accuracy	25.0%	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x)))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/96 binary64))
✓	accuracy	99.2%	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -19/5760 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 x))
✓	accuracy	54.3%	(.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))

Results

404.0ms	172×	1	valid
221.0ms	33×	5	exit
155.0ms	46×	2	valid
4.0ms	5×	0	valid

Compiler

Compiled 487 to 49 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 466.0ms

...c/correct-round.rkt:119:19: 98.0ms (21% of total)

ival-fmod: 91.0ms (19.5% of total)

ival-mult: 75.0ms (16.1% of total)

backward-pass: 64.0ms (13.7% of total)

ival-exp: 43.0ms (9.2% of total)

ival-div: 42.0ms (9% of total)

ival-add: 28.0ms (6% of total)

ival-pow: 10.0ms (2.1% of total)

ival-sqrt: 7.0ms (1.5% of total)

ival-sub: 7.0ms (1.5% of total)

const: 2.0ms (0.4% of total)

series29.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))>
#<alt (/ (fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))) (exp x))>
#<alt (fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24)))))>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))>
#<alt (/ 1 (/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))>
#<alt (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))>
#<alt (pow x 6)>
#<alt (/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))>
#<alt (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))>
#<alt (/ (/ 1/4 (* x x)) (sqrt 1/24))>
#<alt (/ 1/4 (* x x))>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* (* x x) -19/5760)>
#<alt (* x (* x (+ -1/96 (* (* x x) -19/5760))))>
#<alt (* (* x x) -1/96)>
#<alt (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))>

Outputs
#<alt (/ -1/4 (sqrt 1/24))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (+ (* -1 (* x (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))))) (+ (* -1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/6 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))))))) (+ (* -1 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))>
#<alt (+ (* x (+ (* 1/2 (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))>
#<alt (+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (* (pow x 2) (sqrt 1/24)))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))
4.0ms	x	@	inf	(/ (fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))) (exp x))
1.0ms	x	@	inf	(/ 1/4 (* x x))
1.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
1.0ms	x	@	-inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))

rewrite401.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4902×	`-lowering-.f32`
4902×	`-lowering-.f64`
2776×	`/-lowering-/.f32`
2776×	`/-lowering-/.f64`
2368×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	260
1	296	240
2	2662	237
0	9674	237

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 297

Calls

Call 1

Inputs
(* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))
(/ (fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24))))) (exp x))
(fmod (exp x) (* (* x x) (- (sqrt 1/24) (/ (/ 1/4 (* x x)) (sqrt 1/24)))))
(exp x)
(fmod (exp x) 1)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(/ 1 (/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))
(pow x 6)
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(/ (/ 1/4 (* x x)) (sqrt 1/24))
(/ 1/4 (* x x))
(* x (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* (* x x) -1/96)
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))

Outputs
(+.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))
(+.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x x)))
(fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x x)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) x (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) x (.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/24 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/24 binary64)) (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/24 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/24 binary64)) #s(literal 3/2 binary64))) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/24 binary64)) (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
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(fma.f64 #s(literal -1/96 binary64) x (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x))))
(fma.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) x (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -19/5760 binary64) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x #s(literal -19/5760 binary64)) (.f64 x x) (*.f64 x #s(literal -1/96 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -6859/191102976000 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 #s(literal -6859/191102976000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 #s(literal -6859/191102976000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))) x)
(.f64 x (.f64 x #s(literal -19/5760 binary64)))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(.f64 #s(literal -19/5760 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -19/5760 binary64)) x)
(+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 x (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) x))
(+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 (.f64 x x) #s(literal -1/96 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/96 binary64)))
(fma.f64 x (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 x #s(literal -1/96 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 x (.f64 x #s(literal -1/96 binary64)) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 x (.f64 x #s(literal -1/96 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1/96 binary64) (.f64 x (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/96 binary64) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 (.f64 x x) #s(literal -1/96 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))
(fma.f64 #s(literal -1/96 binary64) (.f64 x x) (.f64 x (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 #s(literal -1/96 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 #s(literal -1/96 binary64) (.f64 x x) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 #s(literal -1/96 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))
(fma.f64 (.f64 x #s(literal -1/96 binary64)) x (.f64 x (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal -1/96 binary64)) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 (.f64 x #s(literal -1/96 binary64)) x (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 (.f64 x #s(literal -1/96 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/884736 binary64) (.f64 #s(literal -6859/191102976000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) x)
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(.f64 #s(literal -1/96 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/96 binary64)) x)
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -19/5760 binary64)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(+.f64 (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))
(fma.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -19/5760 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))
(.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))

simplify251.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2398×	`-lowering-.f32`
2398×	`-lowering-.f64`
1796×	`sum4-define`
1406×	`sum3-define`
1358×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4435
1	920	3650
2	3495	3500
0	9465	3500

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ -1/4 (sqrt 1/24))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(+ (* -1 (* x (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))))) (+ (* -1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/6 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))))))) (+ (* -1 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))) (* 1/2 (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))) (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(/ (fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))) (exp x))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
(fmod (exp x) (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
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(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))
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(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))
(/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ (exp x) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -1/96 (pow x 2))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))

Outputs
(/ -1/4 (sqrt 1/24))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (sqrt 1/24))
(.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
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(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (* (pow x 2) (sqrt 1/24)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* -19/5760 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -19/5760 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* -19/5760 (pow x 4))
(.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* -19/5760 (pow x 4))
(.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* -1/4 (pow x 2))
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))

eval108.0ms (0.5%)

Compiler: Compiled 19791 to 1723 computations (91.3% saved)

prune108.0ms (0.5%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	664	22	686
Fresh	13	7	20
Picked	4	1	5
Done	1	3	4
Total	682	33	715

Accuracy

60.9%

Counts

715 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.0%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	12.0%	(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
▶	1.2%	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
▶	16.6%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	11.9%	(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	5.8%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	6.8%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	3.4%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))) (exp.f64 x))
▶	3.1%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) (exp.f64 x))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
▶	45.3%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/96 binary64))))))) (exp.f64 x))
	5.5%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))))))) (exp.f64 x))
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
✓	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	1.2%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) #s(literal 1 binary64))
	1.2%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (exp.f64 x))
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (exp.f64 x))
	2.5%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))) (exp.f64 x))
	2.5%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
	2.5%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (exp.f64 x))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))) (exp.f64 x))
✓	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
✓	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.3%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
	5.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
	5.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
▶	5.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
✓	6.1%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
	1.2%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
	5.7%	(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) #s(literal -1 binary64)))
	6.3%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))

Compiler

Compiled 1667 to 946 computations (43.3% saved)

simplify213.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x)))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) (exp.f64 x))
✓	cost-diff	640	(.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
✓	cost-diff	0	(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
✓	cost-diff	5824	(pow.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))

Rules

4012×	`+-lowering-+.f64`
4012×	`+-lowering-+.f32`
2960×	`-lowering-.f32`
2960×	`-lowering-.f64`
1830×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	595
1	147	567
2	497	552
3	1834	541
4	5953	533
0	8456	533

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(exp x)
x
(/ -1/4 (sqrt 1/24))
-1/4
(sqrt 1/24)
1/24
(fmod 1 1)
1
(/ 1 (/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
1
(/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))
(exp x)
(+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))
(* x (* x (+ -1/4 (* (* x x) -1/96))))
(* x (+ -1/4 (* (* x x) -1/96)))
(+ -1/4 (* (* x x) -1/96))
-1/4
(* (* x x) -1/96)
(* x x)
-1/96
(fmod (exp x) (* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x)))))))
(exp x)
x
(* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x))))))
(pow x 6)
6
(- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x)))))
-19/5760
(+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x))))
(/ 1/96 (* x x))
1/96
(* x x)
(/ 1/4 (* (* x x) (* x x)))
1/4
(* (* x x) (* x x))
(/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))
(fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))))))
(exp x)
x
(/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))
(* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x))))
(+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x)))))
-6859/191102976000
(/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))
(* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96)))
(+ -1/96 (/ -1/4 (* x x)))
-1/96
(/ -1/4 (* x x))
-1/4
(* x x)
(* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))
(+ (/ 1/4 (* x x)) 1/96)
(/ 1/4 (* x x))
1/4
1/96
(* (* x x) (* (* x x) (* x x)))
(* (* x x) (* x x))
(+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))))
361/33177600
(* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))
(/ (+ (/ 1/4 (* x x)) 1/96) (* x x))
(+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))
-19/5760

Outputs
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(exp x)
(exp.f64 x)
x
(/ -1/4 (sqrt 1/24))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
-1/4
#s(literal -1/4 binary64)
(sqrt 1/24)
(sqrt.f64 #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 1 (/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))
(+ 1 (* x (+ 1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x 1/2)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
x
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
(exp x)
(exp.f64 x)
(+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(* x (* x (+ -1/4 (* (* x x) -1/96))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))
(* x (+ -1/4 (* (* x x) -1/96)))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))
(+ -1/4 (* (* x x) -1/96))
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))
-1/4
#s(literal -1/4 binary64)
(* (* x x) -1/96)
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* x x)
(*.f64 x x)
-1/96
#s(literal -1/96 binary64)
(fmod (exp x) (* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (+.f64 (/.f64 #s(literal -1/96 binary64) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(exp x)
(exp.f64 x)
x
(* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x))))))
(.f64 (+.f64 (/.f64 #s(literal -1/96 binary64) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
6
#s(literal 6 binary64)
(- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x)))))
(+.f64 (/.f64 #s(literal -1/96 binary64) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))) x)))
-19/5760
#s(literal -19/5760 binary64)
(+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x))))
(+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))) x))
(/ 1/96 (* x x))
(/.f64 #s(literal 1/96 binary64) (*.f64 x x))
1/96
#s(literal 1/96 binary64)
(* x x)
(*.f64 x x)
(/ 1/4 (* (* x x) (* x x)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) x)
1/4
#s(literal 1/4 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/9216 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))))) (exp.f64 x))
(fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/9216 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x)))))))
(exp x)
(exp.f64 x)
x
(/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/9216 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))))
(* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/9216 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x)))))
(+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))
-6859/191102976000
#s(literal -6859/191102976000 binary64)
(/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96)))
(.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/9216 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+ -1/96 (/ -1/4 (* x x)))
(+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
-1/96
#s(literal -1/96 binary64)
(/ -1/4 (* x x))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
-1/4
#s(literal -1/4 binary64)
(* x x)
(*.f64 x x)
(* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))
(+.f64 #s(literal 1/9216 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(+ (/ 1/4 (* x x)) 1/96)
(+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
1/96
#s(literal 1/96 binary64)
(* (* x x) (* (* x x) (* x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))))
(+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x)))))
361/33177600
#s(literal 361/33177600 binary64)
(* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))
(.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/ (+ (/ 1/4 (* x x)) 1/96) (* x x))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))
(+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))
(+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))
-19/5760
#s(literal -19/5760 binary64)

localize1.2s (5.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) (exp.f64 x))
✓	accuracy	25.0%	(fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x)))))))
✓	accuracy	25.0%	(/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))
✓	accuracy	20.1%	(.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1/96 binary64) (*.f64 x x))
✓	accuracy	28.9%	(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
✓	accuracy	25.0%	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/96 binary64))
✓	accuracy	19.9%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/24 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))

Results

462.0ms	172×	1	valid
365.0ms	33×	5	exit
171.0ms	46×	2	valid
4.0ms	5×	0	valid

Compiler

Compiled 824 to 57 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 620.0ms

...c/correct-round.rkt:119:19: 164.0ms (26.4% of total)

ival-fmod: 107.0ms (17.2% of total)

backward-pass: 95.0ms (15.3% of total)

ival-div: 88.0ms (14.2% of total)

ival-mult: 68.0ms (11% of total)

ival-add: 41.0ms (6.6% of total)

ival-exp: 34.0ms (5.5% of total)

ival-pow: 10.0ms (1.6% of total)

ival-sqrt: 8.0ms (1.3% of total)

ival-sub: 3.0ms (0.5% of total)

const: 2.0ms (0.3% of total)

series1.9s (8.9%)

Counts

22 → 228

Calls

Call 1

Inputs
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (exp x)>
#<alt (/ -1/4 (sqrt 1/24))>
#<alt (fmod 1 1)>
#<alt (/ 1 (/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))>
#<alt (/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))>
#<alt (+ 1 (* x (+ 1 (* x 1/2))))>
#<alt (* x (+ 1 (* x 1/2)))>
#<alt (pow x 6)>
#<alt (fmod (exp x) (* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x)))))))>
#<alt (* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x))))))>
#<alt (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x))))>
#<alt (/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))>
#<alt (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))))))>
#<alt (sqrt 1/24)>
#<alt (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))>
#<alt (* (* x x) -1/96)>
#<alt (* x (+ -1/4 (* (* x x) -1/96)))>
#<alt (/ 1/96 (* x x))>
#<alt (* (* x x) (* x x))>
#<alt (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))>

Outputs
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (+ (* -1 (* x (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24))))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24)))))) (+ (* -1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/6 (fmod (exp x) (/ -1/4 (sqrt 1/24)))))))) (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24))))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt (fmod (exp x) (/ -1/4 (sqrt 1/24)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (* 2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))>
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#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>

Calls

57 calls:

Time	Variable		Point	Expression
1.9s	x	@	-inf	(/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))
7.0ms	x	@	inf	(* x (+ -1/4 (* (* x x) -1/96)))
2.0ms	x	@	inf	(/ 1 (/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
2.0ms	x	@	0	(/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))
1.0ms	x	@	inf	(/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))

rewrite1.2s (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2902×	`-lowering-.f32`
2902×	`-lowering-.f64`
2900×	`fma-lowering-fma.f32`
2900×	`fma-lowering-fma.f64`
2152×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	349
1	369	319
2	3975	318
0	8297	318

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 279

Calls

Call 1

Inputs
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(exp x)
(/ -1/4 (sqrt 1/24))
(fmod 1 1)
(/ 1 (/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))))
(/ (+ 1 (* x (+ 1 (* x 1/2)))) (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96)))))))
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
(pow x 6)
(fmod (exp x) (* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x)))))))
(* (pow x 6) (- -19/5760 (+ (/ 1/96 (* x x)) (/ 1/4 (* (* x x) (* x x))))))
(* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x))))
(/ (fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))) (exp x))
(fmod (exp x) (/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)))))))
(sqrt 1/24)
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* (* x x) -1/96))))))
(* (* x x) -1/96)
(* x (+ -1/4 (* (* x x) -1/96)))
(/ 1/96 (* x x))
(* (* x x) (* x x))
(/ (* (+ -6859/191102976000 (/ (* (+ -1/96 (/ -1/4 (* x x))) (* (+ (/ 1/4 (* x x)) 1/96) (+ (/ 1/4 (* x x)) 1/96))) (* (* x x) (* (* x x) (* x x))))) (* (* x x) (* (* x x) (* x x)))) (+ 361/33177600 (* (/ (+ (/ 1/4 (* x x)) 1/96) (* x x)) (+ -19/5760 (/ (+ (/ 1/4 (* x x)) 1/96) (* x x))))))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/4 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
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(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (/.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))))) (+.f64 #s(literal -6859/191102976000 binary64) (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -6859/191102976000 binary64) (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))) (+.f64 #s(literal 47045881/36520347436056576000000 binary64) (.f64 (/.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 130321/1100753141760000 binary64) (.f64 (/.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))) (-.f64 (/.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal 361/33177600 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -6859/191102976000 binary64) (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))) (-.f64 #s(literal 130321/1100753141760000 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 361/33177600 binary64) (/.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))

simplify249.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2970×	`-lowering-.f32`
2970×	`-lowering-.f64`
2038×	`+-lowering-+.f64`
2038×	`+-lowering-+.f32`
1388×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	4589
1	918	3836
2	3280	3674
0	9403	3674

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(+ (* -1 (* x (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24))))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24)))))) (+ (* -1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/6 (fmod (exp x) (/ -1/4 (sqrt 1/24)))))))) (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24))))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(* 2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 4 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))) (* 2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 4 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -2 (+ (* -8 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 4 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))) (pow x 3))) (* 2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (* -8 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 4 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))))) (pow x 2))
(* 2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 4 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (* -4 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 4 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 8 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (+ (* -8 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 4 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) x)) (* -4 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))
(/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))
(* 1/2 (/ (pow x 2) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* (pow x 2) (+ (/ 1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))
(* (pow x 2) (+ (/ 1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))))
(* (pow x 2) (+ (/ 1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))))
(* 1/2 (/ (pow x 2) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* (pow x 2) (+ (/ 1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))
(* (pow x 2) (+ (/ 1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))))
(* (pow x 2) (+ (/ 1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 1/2 (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(/ -1/64 (pow x 6))
(/ (- (* -1/512 (pow x 2)) 1/64) (pow x 6))
(/ (- (* (pow x 2) (- (* -1/12288 (pow x 2)) 1/512)) 1/64) (pow x 6))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/884736 (pow x 2)) 1/12288)) 1/512)) 1/64) (pow x 6))
(* -6859/191102976000 (pow x 6))
(* -1 (* (pow x 6) (+ 6859/191102976000 (* 1/884736 (/ 1 (pow x 6))))))
(* (pow x 6) (- (* -1 (/ (+ 1/884736 (* 1/12288 (/ 1 (pow x 2)))) (pow x 6))) 6859/191102976000))
(* (pow x 6) (- (* -1 (/ (+ 1/12288 (* 1/512 (/ 1 (pow x 2)))) (pow x 8))) (+ 6859/191102976000 (* 1/884736 (/ 1 (pow x 6))))))
(* -6859/191102976000 (pow x 6))
(* -1 (* (pow x 6) (+ 6859/191102976000 (* 1/884736 (/ 1 (pow x 6))))))
(* (pow x 6) (- (* -1 (/ (+ 1/884736 (* 1/12288 (/ 1 (pow x 2)))) (pow x 6))) 6859/191102976000))
(* (pow x 6) (- (* -1 (/ (+ 1/12288 (* 1/512 (/ 1 (pow x 2)))) (pow x 8))) (+ 6859/191102976000 (* 1/884736 (/ 1 (pow x 6))))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(+ (* -1 (* x (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))) (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))) (* 1/2 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))))) (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))) (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))) (* 1/2 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))))) (+ (* -1/2 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))) (* 1/6 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))))))) (+ (* -1 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))) (* 1/2 (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))))) (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))) (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(/ (fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2))))) (exp x))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (/ (* (pow x 6) (- (* -1 (/ (pow (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) 3) (pow x 6))) 6859/191102976000)) (+ 361/33177600 (/ (* (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (- (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))) 19/5760)) (pow x 2)))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/4 x)
(* x (- (* -1/96 (pow x 2)) 1/4))
(* x (- (* -1/96 (pow x 2)) 1/4))
(* x (- (* -1/96 (pow x 2)) 1/4))
(* -1/96 (pow x 3))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 3))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(/ 1/96 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))

Outputs
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(+ (* -1 (* x (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24))))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))
(+.f64 (.f64 x (-.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24)))))) (+ (* -1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/6 (fmod (exp x) (/ -1/4 (sqrt 1/24)))))))) (+ (* -1 (fmod (exp x) (/ -1/4 (sqrt 1/24)))) (* 1/2 (fmod (exp x) (/ -1/4 (sqrt 1/24))))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))) (fmod (exp x) (/ -1/4 (sqrt 1/24))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal 0 binary64))))) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (/ -1/4 (sqrt 1/24))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod (exp x) (/ -1/4 (sqrt 1/24)))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
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(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
(* -19/5760 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(* -19/5760 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))

eval160.0ms (0.8%)

Compiler: Compiled 27454 to 1515 computations (94.5% saved)

prune127.0ms (0.6%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	600	12	612
Fresh	13	11	24
Picked	4	1	5
Done	0	4	4
Total	617	28	645

Accuracy

60.9%

Counts

645 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.0%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	12.0%	(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
	3.4%	(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
	44.9%	(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
	5.7%	(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
	1.2%	(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
	2.6%	(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
	2.6%	(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
	2.4%	(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
✓	16.6%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	3.1%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) #s(literal 1 binary64))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/96 binary64))))))) (exp.f64 x))
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
✓	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	2.5%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))) (exp.f64 x))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))) (exp.f64 x))
✓	6.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
✓	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.3%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
	5.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
	11.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
	5.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
	6.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
✓	6.1%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
	5.7%	(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))) #s(literal -1 binary64)))
	6.3%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))

Compiler

Compiled 2273 to 680 computations (70.1% saved)

regimes54.0ms (0.3%)

Counts

69 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/96 binary64))))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))) (exp.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) #s(literal -1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))

Outputs
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Calls

2 calls:

22.0ms	x
18.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
58.3%	2	`x`
58.2%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes24.0ms (0.1%)

Counts

50 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/96 binary64))))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Outputs
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
58.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.1%)

Counts

49 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/96 binary64))))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Outputs
(fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
57.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes26.0ms (0.1%)

Counts

29 → 5

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x))))))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
26.9%	5	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

26 → 4

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
24.7%	4	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes30.0ms (0.1%)

Counts

25 → 3

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))

(fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))

(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
22.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts

23 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))))

Outputs

(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))

(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
19.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))))

(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
19.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))

Outputs
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
17.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
16.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch56.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	-4.291871282477895e-309	2.6503608612257013e-307

Results

27.0ms	32×	2	valid
22.0ms	80×	1	valid

Compiler

Compiled 169 to 130 computations (23.1% saved)

Precisions

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

ival-exp: 24.0ms (58.5% of total)

ival-fmod: 7.0ms (17.1% of total)

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

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

backward-pass: 2.0ms (4.9% of total)

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

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

const: 0.0ms (0% of total)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	-4.291871282477895e-309	2.6503608612257013e-307

Results

24.0ms	80×	1	valid
20.0ms	32×	2	valid

Compiler

Compiled 148 to 123 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 14.0ms (39.3% of total)

ival-fmod: 11.0ms (30.9% of total)

ival-cos: 2.0ms (5.6% of total)

ival-sqrt: 2.0ms (5.6% of total)

backward-pass: 2.0ms (5.6% of total)

ival-neg: 2.0ms (5.6% of total)

ival-mult: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

bsearch48.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-4.291871282477895e-309	2.6503608612257013e-307

Results

24.0ms	80×	1	valid
18.0ms	32×	2	valid

Compiler

Compiled 113 to 95 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-exp: 15.0ms (44.3% of total)

ival-fmod: 9.0ms (26.6% of total)

ival-mult: 2.0ms (5.9% of total)

ival-cos: 2.0ms (5.9% of total)

ival-sqrt: 2.0ms (5.9% of total)

backward-pass: 2.0ms (5.9% of total)

ival-neg: 1.0ms (3% of total)

const: 0.0ms (0% of total)

bsearch158.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-6.799779235820783e-108	-5.219665187711068e-109
40.0ms	-6.260950060244456e-54	-9.85841011098483e-59
40.0ms	-2.113102778868198e-39	-9.907465500626675e-47
21.0ms	-7.066260924169913e-16	-2.6635334009170317e-20

Results

102.0ms	368×	1	valid
13.0ms	128×	0	valid

Compiler

Compiled 3401 to 1261 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-fmod: 21.0ms (25.2% of total)

ival-exp: 20.0ms (24% of total)

ival-sqrt: 17.0ms (20.4% of total)

ival-cos: 10.0ms (12% of total)

backward-pass: 6.0ms (7.2% of total)

ival-mult: 5.0ms (6% of total)

ival-neg: 4.0ms (4.8% of total)

const: 0.0ms (0% of total)

bsearch126.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-6.799779235820783e-108	-5.219665187711068e-109
38.0ms	-6.260950060244456e-54	-9.85841011098483e-59
51.0ms	-7.066260924169913e-16	-2.6635334009170317e-20

Results

60.0ms	224×	1	valid
13.0ms	128×	0	valid

Compiler

Compiled 1905 to 731 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-fmod: 19.0ms (33.8% of total)

ival-exp: 14.0ms (24.9% of total)

ival-cos: 7.0ms (12.5% of total)

ival-sqrt: 5.0ms (8.9% of total)

backward-pass: 5.0ms (8.9% of total)

ival-mult: 3.0ms (5.3% of total)

ival-neg: 3.0ms (5.3% of total)

const: 0.0ms (0% of total)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-6.799779235820783e-108	-5.219665187711068e-109
21.0ms	-7.066260924169913e-16	-2.6635334009170317e-20

Results

24.0ms	96×	1	valid
14.0ms	128×	0	valid

Compiler

Compiled 817 to 411 computations (49.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 9.0ms (32.3% of total)

ival-fmod: 8.0ms (28.7% of total)

ival-cos: 3.0ms (10.8% of total)

ival-sqrt: 3.0ms (10.8% of total)

ival-mult: 2.0ms (7.2% of total)

backward-pass: 2.0ms (7.2% of total)

ival-neg: 2.0ms (7.2% of total)

const: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
18.0ms	0.11189284819914352	1000644404628.894

Results

13.0ms	101×	0	invalid
2.0ms	16×	0	valid

Compiler

Compiled 61 to 36 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (40% of total)

ival-exp: 2.0ms (20% of total)

ival-fmod: 2.0ms (20% of total)

ival-mult: 1.0ms (10% of total)

ival-sqrt: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
17.0ms	0.11189284819914352	1000644404628.894

Results

12.0ms	101×	0	invalid
2.0ms	16×	0	valid

Compiler

Compiled 57 to 34 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 5.0ms (46.9% of total)

ival-exp: 2.0ms (18.8% of total)

ival-fmod: 2.0ms (18.8% of total)

ival-mult: 1.0ms (9.4% of total)

ival-sqrt: 1.0ms (9.4% of total)

ival-neg: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary64`
54×	`+-commutative_binary64`
24×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	609
1	146	609
2	158	609
3	176	609
4	198	609
5	216	609
6	224	609
7	226	609

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x)) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 x)) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fmod.f64 (exp.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x))))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 361/33177600 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/96 binary64)) (.f64 x x)) #s(literal -19/5760 binary64)))))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fmod.f64 (exp.f64 x) (/.f64 (.f64 (-.f64 #s(literal 361/33177600 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness2.3s (11%)

Rules

4902×	`-lowering-.f32`
4902×	`-lowering-.f64`
2970×	`-lowering-.f32`
2970×	`-lowering-.f64`
2902×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4435
1	920	3650
2	3495	3500
0	9465	3500
0	78	395
1	228	360
2	769	347
3	3498	334
0	8360	334
0	56	349
1	369	319
2	3975	318
0	8297	318
0	48	260
1	296	240
2	2662	237
0	9674	237
0	273	2945
1	914	2495
2	3526	2409
0	9394	2409
0	282	4589
1	918	3836
2	3280	3674
0	9403	3674
0	6	22
1	16	22
2	63	22
3	255	22
0	1335	22
0	8	10
1	15	10
2	26	9
3	32	9
4	41	9
5	47	9
6	55	9
7	64	9
8	65	9
0	65	9

Stop Event

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

Compiler

Compiled 2076 to 994 computations (52.1% saved)

preprocess68.0ms (0.3%)

Compiler: Compiled 1242 to 218 computations (82.4% saved)

Iter	Nodes	Cost
0	15	31
1	35	31
2	80	30
3	141	30
4	225	30
5	296	30
6	330	30
7	368	30
8	490	30
9	516	30
10	517	30
0	8	10
1	15	10
2	26	9
3	32	9
4	41	9
5	47	9
6	55	9
7	64	9
8	65	9
0	65	9

Iter	Nodes	Cost
0	15	31
1	35	31
2	80	30
3	141	30
4	225	30
5	296	30
6	330	30
7	368	30
8	490	30
9	516	30
10	517	30
0	8	10
1	15	10
2	26	9
3	32	9
4	41	9
5	47	9
6	55	9
7	64	9
8	65	9
0	65	9

analyze265.0ms (1.2%)

sample7.2s (34.1%)

preprocess26.0ms (0.1%)

explain581.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize231.0ms (1.1%)

series4.0ms (0%)

rewrite92.0ms (0.4%)

simplify258.0ms (1.2%)

eval33.0ms (0.2%)

prune31.0ms (0.1%)

simplify100.0ms (0.5%)

localize1.2s (5.5%)

series22.0ms (0.1%)

rewrite511.0ms (2.4%)

simplify236.0ms (1.1%)

eval152.0ms (0.7%)

prune87.0ms (0.4%)

simplify240.0ms (1.1%)

localize905.0ms (4.3%)

series29.0ms (0.1%)

rewrite401.0ms (1.9%)

simplify251.0ms (1.2%)

eval108.0ms (0.5%)

prune108.0ms (0.5%)

simplify213.0ms (1%)

localize1.2s (5.5%)

series1.9s (8.9%)

rewrite1.2s (5.5%)

simplify249.0ms (1.2%)

eval160.0ms (0.8%)

prune127.0ms (0.6%)

regimes54.0ms (0.3%)

regimes24.0ms (0.1%)

regimes23.0ms (0.1%)

regimes26.0ms (0.1%)

regimes12.0ms (0.1%)

regimes30.0ms (0.1%)

regimes9.0ms (0%)

regimes4.0ms (0%)

regimes10.0ms (0%)

regimes2.0ms (0%)

bsearch56.0ms (0.3%)

bsearch50.0ms (0.2%)

bsearch48.0ms (0.2%)

bsearch158.0ms (0.7%)

bsearch126.0ms (0.6%)

bsearch54.0ms (0.3%)

bsearch20.0ms (0.1%)

bsearch19.0ms (0.1%)

simplify21.0ms (0.1%)

soundness2.3s (11%)

preprocess68.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	31
2	80	30
3	141	30
4	225	30
5	296	30
6	330	30
7	368	30
8	490	30
9	516	30
10	517	30
0	8	10
1	15	10
2	26	9
3	32	9
4	41	9
5	47	9
6	55	9
7	64	9
8	65	9
0	65	9