Metrics for expfmod (used to be hard to sample)

analyze275.0ms (1.6%)

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: 152.0ms

ival-fmod: 51.0ms (33.5% of total)

ival-exp: 47.0ms (30.8% of total)

ival-cos: 17.0ms (11.2% of total)

ival-sqrt: 14.0ms (9.2% of total)

ival-mult: 11.0ms (7.2% of total)

ival-neg: 10.0ms (6.6% of total)

const: 1.0ms (0.7% of total)

backward-pass: 1.0ms (0.7% of total)

sample7.8s (44.3%)

Results

4.4s	1650×	5	exit
1.5s	4898×	1	valid
633.0ms	1411×	2	valid
398.0ms	3282×	0	invalid
336.0ms	1947×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.5s

ival-cos: 3.7s (57.5% of total)

ival-fmod: 912.0ms (14.1% of total)

ival-exp: 871.0ms (13.4% of total)

ival-sqrt: 336.0ms (5.2% of total)

backward-pass: 304.0ms (4.7% of total)

ival-mult: 222.0ms (3.4% of total)

ival-neg: 99.0ms (1.5% of total)

const: 12.0ms (0.2% of total)

Bogosity

preprocess24.0ms (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)))

explain534.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
193	-	193	(4.392620511479072e-184)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
1	-	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

339.0ms	106×	5	exit
107.0ms	284×	1	valid
45.0ms	92×	2	valid
4.0ms	30×	0	valid

Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 437.0ms

ival-cos: 259.0ms (59.3% of total)

ival-fmod: 78.0ms (17.8% of total)

ival-exp: 46.0ms (10.5% of total)

backward-pass: 23.0ms (5.3% of total)

ival-sqrt: 16.0ms (3.7% of total)

ival-mult: 10.0ms (2.3% of total)

ival-neg: 5.0ms (1.1% 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
▶	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (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)

localize249.0ms (1.4%)

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	99.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	28.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Results

146.0ms	53×	5	exit
45.0ms	142×	1	valid
21.0ms	46×	2	valid
2.0ms	15×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-cos: 118.0ms (64.6% of total)

ival-exp: 21.0ms (11.5% of total)

ival-fmod: 20.0ms (11% of total)

backward-pass: 10.0ms (5.5% of total)

ival-sqrt: 8.0ms (4.4% of total)

ival-div: 6.0ms (3.3% 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))
0.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms	x	@	0	(sqrt (cos x))
0.0ms	x	@	inf	(sqrt (cos x))

rewrite101.0ms (0.6%)

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	254	22
0	1324	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)

simplify175.0ms (1%)

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	372
2	768	360
3	3502	348
0	8399	348

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 x (.f64 x #s(literal -1/4 binary64))))
(+ 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 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 (.f64 x 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 (.f64 x 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 (.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)

eval22.0ms (0.1%)

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

prune26.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	213	9	222
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	213	10	223

Accuracy

27.9%

Counts

223 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.5%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (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))) (exp.f64 x))
	6.9%	(/.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)))))))) (exp.f64 x))
▶	6.9%	(/.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))
	6.9%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
▶	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
✓	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	6.8%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	24.2%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 288 to 188 computations (34.7% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64)))))))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64))))))))))
✓	cost-diff	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
✓	cost-diff	(cos.f64 x)
✓	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 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(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))))))))
✓	cost-diff	(/.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))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	cost-diff	(cos.f64 x)
✓	cost-diff	(sqrt.f64 (cos.f64 x))
✓	cost-diff	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Rules

848×	`fma-define`
776×	`fma-lowering-fma.f32`
776×	`fma-lowering-fma.f64`
306×	`-lowering-.f32`
306×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	306
1	74	277
2	217	277
3	504	277
4	854	277
5	1124	277
6	1179	277
0	1179	277

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))))))) (exp x))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(exp x)
x
(+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))
1
(* 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 -1/96)
-1/96
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))))
(exp x)
x
(sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))
(+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))
1
(* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))
(* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))
(+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))
-1/2
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(* x x)
(+ 1/24 (* (* x x) -1/720))
1/24
(* (* x x) -1/720)
-1/720

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))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x x)))) (exp.f64 x))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x x))))
(exp x)
(exp.f64 x)
x
(+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x (+ -1/4 (* x (* x -1/96)))))
(.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x x))
(* x (+ -1/4 (* x (* x -1/96))))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(+ -1/4 (* x (* x -1/96)))
(+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))
-1/4
#s(literal -1/4 binary64)
(* x (* x -1/96))
(.f64 #s(literal -1/96 binary64) (.f64 x x))
(* x -1/96)
(*.f64 x #s(literal -1/96 binary64))
-1/96
#s(literal -1/96 binary64)
(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)
(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (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) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))) (exp.f64 x))
(fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))))
(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 x)
(exp.f64 x)
x
(sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))
(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))))))))
(+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))
(+.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)))))))
1
#s(literal 1 binary64)
(* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))
(.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))))))
(* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))
(.f64 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))))))
(+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))
(+.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)))))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* x x)
(*.f64 x x)
(+ 1/24 (* (* x x) -1/720))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) -1/720)
(.f64 (.f64 x x) #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)

localize456.0ms (2.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/720 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
✓	accuracy	28.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64))))))))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	28.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	28.2%	(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))))))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	28.2%	(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	63.6%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Results

224.0ms	153×	1	valid
104.0ms	46×	2	valid
28.0ms	55×	0	invalid
1.0ms	2×	0	valid

Compiler

Compiled 308 to 35 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-fmod: 74.0ms (29.8% of total)

ival-cos: 39.0ms (15.7% of total)

ival-mult: 35.0ms (14.1% of total)

...c/correct-round.rkt:119:19: 26.0ms (10.5% of total)

backward-pass: 21.0ms (8.4% of total)

ival-div: 16.0ms (6.4% of total)

ival-exp: 16.0ms (6.4% of total)

ival-add: 12.0ms (4.8% of total)

ival-sqrt: 9.0ms (3.6% of total)

const: 1.0ms (0.4% of total)

series27.0ms (0.2%)

Counts

20 → 240

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

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) (- (* -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 (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>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (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)))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 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) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* (pow x 3) (sqrt -1/720))>
#<alt (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720))))))>
#<alt (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))>
#<alt (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))>
#<alt (* -1 (* (pow x 3) (sqrt -1/720)))>
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720)))))))>
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))>
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))))>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<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) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>

Calls

60 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) 1) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (exp x))
1.0ms	x	@	0	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
1.0ms	x	@	inf	(sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))

rewrite331.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3892×	`-lowering-.f32`
3892×	`-lowering-.f64`
3474×	`/-lowering-/.f32`
3474×	`/-lowering-/.f64`
1808×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	196
1	166	178
2	1308	178
0	8542	178

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 302

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))))))) (exp x))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))
(fmod (exp x) (sqrt (cos x)))
(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))))
(sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))
(* x -1/96)
(* x (* x -1/96))
(* x (* x (+ -1/4 (* x (* x -1/96)))))
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(* (* x x) -1/720)
(+ 1/24 (* (* x x) -1/720))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (-.f64 #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)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 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 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(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 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.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))))
(/.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 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(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 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 #s(literal -1/96 binary64)))))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 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 #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.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 #s(literal -1/96 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 #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 0 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 #s(literal -1/96 binary64))))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 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 #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 x (.f64 x #s(literal -1/96 binary64)))))))) (exp.f64 x))
(/.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 #s(literal -1/96 binary64))))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 #s(literal -1/96 binary64)))))))))))
(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 #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 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 x (*.f64 x #s(literal -1/96 binary64)))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.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 #s(literal -1/96 binary64))))))))) (/.f64 #s(literal -1 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 #s(literal -1/96 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 #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 x (*.f64 x #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal -1/96 binary64))))))))))))
(-.f64 #s(literal 0 binary64) (-.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 #s(literal -1/96 binary64))))))))))
(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 #s(literal -1/96 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 #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 x (*.f64 x #s(literal -1/96 binary64)))))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.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 #s(literal -1/96 binary64))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (neg.f64 (/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) #s(literal 1 binary64))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))) #s(literal 1 binary64))
(/.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 #s(literal -1/96 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))))) (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))))))
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(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (*.f64 x x))))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))

simplify267.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2990×	`-lowering-.f32`
2990×	`-lowering-.f64`
2640×	`+-lowering-+.f64`
2640×	`+-lowering-+.f32`
1536×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2773
1	748	2505
2	2917	2440
0	9438	2440

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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) (- (* -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))))) (* 1/6 (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)))))
(/ (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))))))) (exp 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))))
(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
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (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)))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 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) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* (pow x 3) (sqrt -1/720))
(* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720))))))
(* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))
(* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))
(* -1 (* (pow x 3) (sqrt -1/720)))
(* -1 (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720)))))))
(* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))
(* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))))
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -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) (- (* -1/96 (pow x 2)) 1/4))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))

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 #s(literal 1/2 binary64) (*.f64 x (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))
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(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* -1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* -1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(+ 1/24 (* -1/720 (pow x 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(+ 1/24 (* -1/720 (pow x 2)))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))

eval103.0ms (0.6%)

Compiler: Compiled 18958 to 1991 computations (89.5% saved)

prune92.0ms (0.5%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	697	17	714
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	700	24	724

Accuracy

28.9%

Counts

724 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x)))
▶	5.5%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	4.2%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
	17.1%	(/.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))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (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))) (exp.f64 x))
	6.9%	(/.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)))))))) (exp.f64 x))
▶	6.5%	(/.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)))))))) (+.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))))))))
	6.3%	(/.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)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	6.0%	(/.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)))))))) (+.f64 #s(literal 1 binary64) x))
✓	6.9%	(/.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))
	6.9%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
	2.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x))
▶	1.5%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))) (exp.f64 x))
✓	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	5.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))))) (exp.f64 x))
✓	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	6.4%	(/.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))))))))
	5.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	6.8%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	23.9%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
	6.0%	(.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 x (*.f64 x #s(literal -1/96 binary64))))))))
	5.9%	(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
	6.8%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 775 to 503 computations (35.1% saved)

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x))))
✓	cost-diff	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))) (exp.f64 x))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(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))))))))
✓	cost-diff	(/.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)))))))) (+.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))))))))
✓	cost-diff	(+.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)))))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	(/.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))))))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))

Rules

708×	`fma-define`
600×	`fma-lowering-fma.f32`
600×	`fma-lowering-fma.f64`
284×	`-lowering-.f32`
284×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	297
1	71	256
2	184	248
3	408	248
4	652	248
5	862	248
6	916	248
7	918	248
0	918	248

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (fmod 1 1) (exp x))
(fmod 1 1)
1
(exp x)
x
(fmod (exp x) 1)
(exp x)
x
1
(/ (fmod (exp x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (exp x) 1)
(exp x)
x
1
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(exp x)
x
(+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))
1
(* 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 -1/96)
-1/96
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(/ (fmod (exp x) (* -1/96 (* (* x x) (* x x)))) (exp x))
(fmod (exp x) (* -1/96 (* (* x x) (* x x))))
(exp x)
x
(* -1/96 (* (* x x) (* x x)))
-1/96
(* (* x x) (* x x))
(* x x)

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

localize725.0ms (4.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.6%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))) (exp.f64 x))
✓	accuracy	26.4%	(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	28.2%	(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))))))))
✓	accuracy	100.0%	(/.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))))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	28.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	28.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))

Results

225.0ms	154×	1	valid
211.0ms	53×	5	exit
195.0ms	46×	2	valid
1.0ms	3×	0	valid

Compiler

Compiled 299 to 31 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-fmod: 116.0ms (27.2% of total)

ival-mult: 102.0ms (23.9% of total)

...c/correct-round.rkt:119:19: 84.0ms (19.7% of total)

backward-pass: 57.0ms (13.4% of total)

ival-exp: 24.0ms (5.6% of total)

ival-div: 21.0ms (4.9% of total)

ival-add: 19.0ms (4.5% of total)

const: 2.0ms (0.5% of total)

series38.0ms (0.2%)

Counts

17 → 192

Calls

Call 1

Inputs
#<alt (/ (fmod 1 1) (exp x))>
#<alt (fmod 1 1)>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (/ (fmod (exp x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))>
#<alt (/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))>
#<alt (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))>
#<alt (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))>
#<alt (/ (fmod (exp x) (* -1/96 (* (* x x) (* x x)))) (exp x))>
#<alt (fmod (exp x) (* -1/96 (* (* x x) (* x x))))>
#<alt (* -1/96 (* (* x x) (* x x)))>
#<alt (* x 1/6)>
#<alt (* x (+ 1/2 (* x 1/6)))>
#<alt (* x -1/96)>
#<alt (* x (* x -1/96))>
#<alt (* (* x x) (* x x))>

Outputs
#<alt (fmod 1 1)>
#<alt (+ (* -1 (* x (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp 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 (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)>
#<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 (* 6 (/ (fmod (exp x) 1) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (fmod (exp x) 1) x)) (* 6 (fmod (exp x) 1))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) 1)) (* 36 (fmod (exp x) 1))) (pow x 2))) (* 6 (fmod (exp x) 1))) (* 18 (/ (fmod (exp x) 1) x))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) 1)) (+ (* -3 (+ (* -54 (fmod (exp x) 1)) (* 36 (fmod (exp x) 1)))) (* 36 (fmod (exp x) 1)))) (pow x 3))) (* 6 (fmod (exp x) 1))) (+ (* -54 (/ (fmod (exp x) 1) (pow x 2))) (+ (* 18 (/ (fmod (exp x) 1) x)) (* 36 (/ (fmod (exp x) 1) (pow x 2)))))) (pow x 3))>
#<alt (* 6 (/ (fmod (exp x) 1) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* 18 (/ (fmod (exp x) 1) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) 1) x)) (* 54 (/ (fmod (exp x) 1) x))) (* 18 (fmod (exp x) 1))) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) 1) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) 1)) (* 54 (fmod (exp x) 1))) x)) (* 36 (/ (fmod (exp x) 1) x)))) (+ (* -36 (fmod (exp x) 1)) (* 54 (fmod (exp x) 1)))) x)) (* 18 (fmod (exp x) 1))) x))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<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 (* 6 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))) (* 6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* -3 (+ (* -54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) (* 36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) (pow x 3))) (* 6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (* -54 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 36 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))))) (pow x 3))>
#<alt (* 6 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 54 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (* 18 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 36 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))) (+ (* -36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) x)) (* 18 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))) (pow x 3)))>
#<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>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (+ (* -1 (* x (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4))))))) (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4)))))) (+ (* -1/2 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/6 (fmod (exp x) (* -1/96 (pow x 4)))))))) (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4))))))) (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (fmod (exp x) (* -1/96 (pow x 4)))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<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)>

Calls

48 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms	x	@	0	(/ (fmod 1 1) (exp x))
1.0ms	x	@	inf	(/ (fmod (exp x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms	x	@	-inf	(/ (fmod (exp x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))

rewrite367.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3766×	`/-lowering-/.f32`
3766×	`/-lowering-/.f64`
3762×	`-lowering-.f32`
3762×	`-lowering-.f64`
1714×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	158
1	159	134
2	1291	134
0	8339	134

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 279

Calls

Call 1

Inputs
(/ (fmod 1 1) (exp x))
(fmod 1 1)
(exp x)
(fmod (exp x) 1)
(/ (fmod (exp x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))
(/ (fmod (exp x) (* -1/96 (* (* x x) (* x x)))) (exp x))
(fmod (exp x) (* -1/96 (* (* x x) (* x x))))
(* -1/96 (* (* x x) (* x x)))
(* x 1/6)
(* x (+ 1/2 (* x 1/6)))
(* x -1/96)
(* x (* x -1/96))
(* (* x x) (* x x))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(exp.f64 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 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.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) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 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 (/.f64 #s(literal 0 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 (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)))))))))
(neg.f64 (/.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 #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) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 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) #s(literal 1 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))))))))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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) #s(literal 1 binary64)))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))))
(pow.f64 (/.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) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 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 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #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)))))))))
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(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))))) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))))))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x))))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))))
(fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x)))))
(.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))))
(.f64 x (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))))
(.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (.f64 #s(literal -1/96 binary64) (.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/96 binary64))
(.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/96 binary64)))
(.f64 (.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x x))) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) x)
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(*.f64 x #s(literal -1/96 binary64))
(*.f64 #s(literal -1/96 binary64) x)
(.f64 x (.f64 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 x x) #s(literal -1/96 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) x)

simplify297.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
2042×	`+-lowering-+.f64`
2042×	`+-lowering-+.f32`
2008×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2329
1	1082	2130
2	4277	2108
0	8094	2108

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(fmod 1 1)
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp 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)
(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)
(+ (* -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))
(* 6 (/ (fmod (exp x) 1) (pow x 3)))
(/ (+ (* -18 (/ (fmod (exp x) 1) x)) (* 6 (fmod (exp x) 1))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) 1)) (* 36 (fmod (exp x) 1))) (pow x 2))) (* 6 (fmod (exp x) 1))) (* 18 (/ (fmod (exp x) 1) x))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) 1)) (+ (* -3 (+ (* -54 (fmod (exp x) 1)) (* 36 (fmod (exp x) 1)))) (* 36 (fmod (exp x) 1)))) (pow x 3))) (* 6 (fmod (exp x) 1))) (+ (* -54 (/ (fmod (exp x) 1) (pow x 2))) (+ (* 18 (/ (fmod (exp x) 1) x)) (* 36 (/ (fmod (exp x) 1) (pow x 2)))))) (pow x 3))
(* 6 (/ (fmod (exp x) 1) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* 18 (/ (fmod (exp x) 1) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) 1) x)) (* 54 (/ (fmod (exp x) 1) x))) (* 18 (fmod (exp x) 1))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) 1) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) 1)) (* 54 (fmod (exp x) 1))) x)) (* 36 (/ (fmod (exp x) 1) x)))) (+ (* -36 (fmod (exp x) 1)) (* 54 (fmod (exp x) 1)))) x)) (* 18 (fmod (exp x) 1))) x))) (pow x 3)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(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))))) (* 1/6 (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)))))
(* 6 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3)))
(/ (+ (* -18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))) (* 6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* -3 (+ (* -54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) (* 36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) (pow x 3))) (* 6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (* -54 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 36 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))))) (pow x 3))
(* 6 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 18 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 54 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (* 18 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 36 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))) (+ (* -36 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 54 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) x)) (* 18 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))) (pow x 3)))
(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
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(fmod (exp x) (* -1/96 (pow x 4)))
(+ (* -1 (* x (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4))))))) (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4)))))) (+ (* -1/2 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/6 (fmod (exp x) (* -1/96 (pow x 4)))))))) (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4))))))) (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod (exp x) (* -1/96 (pow x 4)))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* -1/96 (pow x 4))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -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)

Outputs
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x (-.f64 (.f64 x (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
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)
(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))
(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 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.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)))))
(+ (* 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 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.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 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(* 6 (/ (fmod (exp x) 1) (pow x 3)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 x (*.f64 x x)))
(/ (+ (* -18 (/ (fmod (exp x) 1) x)) (* 6 (fmod (exp x) 1))) (pow x 3))
(/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 #s(literal -18 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) x))) (.f64 x (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) 1)) (* 36 (fmod (exp x) 1))) (pow x 2))) (* 6 (fmod (exp x) 1))) (* 18 (/ (fmod (exp x) 1) x))) (pow x 3))
(/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 18 binary64) (-.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) x)) (.f64 x (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) 1)) (+ (* -3 (+ (* -54 (fmod (exp x) 1)) (* 36 (fmod (exp x) 1)))) (* 36 (fmod (exp x) 1)))) (pow x 3))) (* 6 (fmod (exp x) 1))) (+ (* -54 (/ (fmod (exp x) 1) (pow x 2))) (+ (* 18 (/ (fmod (exp x) 1) x)) (* 36 (/ (fmod (exp x) 1) (pow x 2)))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)) (/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 36 binary64)) (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -108 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 54 binary64)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -54 binary64)) (.f64 x x)) (+.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 18 binary64)) (/.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 36 binary64)) x) x)))) (.f64 x (.f64 x x)))
(* 6 (/ (fmod (exp x) 1) (pow x 3)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 x (*.f64 x x)))
(* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* 18 (/ (fmod (exp x) 1) x))) (pow x 3)))
(/.f64 (+.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 18 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) 1) x)) (* 54 (/ (fmod (exp x) 1) x))) (* 18 (fmod (exp x) 1))) x))) (pow x 3)))
(/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64)) (.f64 #s(literal -18 binary64) (/.f64 (-.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (+ (* -6 (fmod (exp x) 1)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) 1) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) 1)) (* 54 (fmod (exp x) 1))) x)) (* 36 (/ (fmod (exp x) 1) x)))) (+ (* -36 (fmod (exp x) 1)) (* 54 (fmod (exp x) 1)))) x)) (* 18 (fmod (exp x) 1))) x))) (pow x 3)))
(/.f64 (-.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64)) (/.f64 (-.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -18 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -108 binary64)) x) (+.f64 (+.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 54 binary64)) x) (/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 36 binary64)) x)) (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -18 binary64)))) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
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)))))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
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(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4)))))) (+ (* -1/2 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/6 (fmod (exp x) (* -1/96 (pow x 4)))))))) (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (* 1/2 (fmod (exp x) (* -1/96 (pow x 4))))))) (fmod (exp x) (* -1/96 (pow x 4))))) (fmod (exp x) (* -1/96 (pow x 4))))
(+.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) #s(literal -1/3 binary64)))))) (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))))))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(/ (fmod (exp x) (* -1/96 (pow x 4))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))) (exp.f64 x))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(fmod (exp x) (* -1/96 (pow x 4)))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* -1/96 (pow x 4))
(.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 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))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)
(pow x 4)
(.f64 (.f64 x (*.f64 x x)) x)

eval132.0ms (0.7%)

Compiler: Compiled 24998 to 1432 computations (94.3% saved)

prune85.0ms (0.5%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	717	15	732
Fresh	9	6	15
Picked	5	0	5
Done	1	3	4
Total	732	24	756

Accuracy

29.3%

Counts

756 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(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))
	24.6%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	1.2%	(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x (.f64 x x)) x)))
▶	24.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	7.5%	(/.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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 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))))))))
	13.9%	(/.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))))))) #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))))))))
▶	9.3%	(/.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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 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))))))))
	16.0%	(/.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)) (+.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))))))))
▶	25.1%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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))))))))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (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))) (exp.f64 x))
▶	6.9%	(/.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)))))))) (exp.f64 x))
	6.5%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 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))))))))
✓	6.9%	(/.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))
	1.6%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x 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))))))))
	3.7%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x 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))))))))
	2.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x))
	1.2%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64))
✓	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	5.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))))) (exp.f64 x))
✓	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	5.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
▶	6.0%	(.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 (.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))))
	6.4%	(exp.f64 (.f64 (log.f64 (/.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) #s(literal 1 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1031 to 618 computations (40.1% saved)

simplify149.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2636×	`sum4-define`
2588×	`sum3-define`
1914×	`fma-lowering-fma.f32`
1914×	`fma-lowering-fma.f64`
1774×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	476
1	132	421
2	376	421
3	890	421
4	1639	421
5	2402	421
6	4518	421
7	6394	421
0	8051	421

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (fmod (+ 1 x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (+ 1 x) 1)
(+ 1 x)
1
x
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(fmod 1 1)
1
(/ (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(+ 1 (* x (+ 1 (* x 1/2))))
1
(* x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(+ 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 -1/96)
-1/96
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
(* x 1/6)
1/6
(* (+ (- 0 x) 1) (fmod (exp x) (+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4)))))
(+ (- 0 x) 1)
(- 0 x)
0
x
1
(fmod (exp x) (+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4))))
(exp x)
(+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4)))
(* (* x x) (+ (* (* x x) -1/96) -1/4))
(* x x)
(+ (* (* x x) -1/96) -1/4)
(* (* x x) -1/96)
-1/96
-1/4
(/ (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)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760

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

localize2.8s (15.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -19/5760 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
✓	accuracy	99.6%	(/.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)))))))) (exp.f64 x))
✓	accuracy	28.2%	(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))))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(.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 (.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/96 binary64))
✓	accuracy	28.2%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	28.2%	(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 x (.f64 x #s(literal -1/96 binary64))))))))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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))))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	28.3%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

2.2s	53×	5	exit
295.0ms	143×	1	valid
113.0ms	46×	2	valid
9.0ms	14×	0	valid

Compiler

Compiled 492 to 49 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-fmod: 2.1s (84.4% of total)

...c/correct-round.rkt:119:19: 87.0ms (3.5% of total)

ival-add: 85.0ms (3.4% of total)

ival-mult: 80.0ms (3.2% of total)

backward-pass: 65.0ms (2.6% of total)

ival-div: 32.0ms (1.3% of total)

ival-exp: 17.0ms (0.7% of total)

ival-sub: 15.0ms (0.6% of total)

const: 2.0ms (0.1% of total)

series20.0ms (0.1%)

Counts

25 → 288

Calls

Call 1

Inputs
#<alt (/ (fmod (+ 1 x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))>
#<alt (fmod (+ 1 x) 1)>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))>
#<alt (fmod 1 1)>
#<alt (/ (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))>
#<alt (+ 1 (* x (+ 1 (* x 1/2))))>
#<alt (* x (+ 1 (* x 1/2)))>
#<alt (* (+ (- 0 x) 1) (fmod (exp x) (+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4)))))>
#<alt (+ (- 0 x) 1)>
#<alt (- 0 x)>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4))))>
#<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 (exp x)>
#<alt (+ 1 (* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))>
#<alt (* x 1/6)>
#<alt (* x (+ 1/2 (* x 1/6)))>
#<alt (* x -1/96)>
#<alt (* x (* x -1/96))>
#<alt (* (* x x) -1/96)>
#<alt (* (* x x) (+ (* (* x x) -1/96) -1/4))>
#<alt (* (* x x) (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* (* x x) -19/5760)>

Outputs
#<alt (fmod (+ 1 x) 1)>
#<alt (+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1)))) (+ (* -1/2 (fmod (+ 1 x) 1)) (* 1/6 (fmod (+ 1 x) 1)))))) (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (* 6 (/ (fmod (+ 1 x) 1) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (fmod (+ 1 x) 1) x)) (* 6 (fmod (+ 1 x) 1))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (fmod (+ 1 x) 1)) (* 36 (fmod (+ 1 x) 1))) (pow x 2))) (* 6 (fmod (+ 1 x) 1))) (* 18 (/ (fmod (+ 1 x) 1) x))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (fmod (+ 1 x) 1)) (+ (* -3 (+ (* -54 (fmod (+ 1 x) 1)) (* 36 (fmod (+ 1 x) 1)))) (* 36 (fmod (+ 1 x) 1)))) (pow x 3))) (* 6 (fmod (+ 1 x) 1))) (+ (* -54 (/ (fmod (+ 1 x) 1) (pow x 2))) (+ (* 18 (/ (fmod (+ 1 x) 1) x)) (* 36 (/ (fmod (+ 1 x) 1) (pow x 2)))))) (pow x 3))>
#<alt (* 6 (/ (fmod (- 1 (* -1 x)) 1) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* 18 (/ (fmod (- 1 (* -1 x)) 1) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* -1 (/ (- (+ (* -36 (/ (fmod (- 1 (* -1 x)) 1) x)) (* 54 (/ (fmod (- 1 (* -1 x)) 1) x))) (* 18 (fmod (- 1 (* -1 x)) 1))) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (- 1 (* -1 x)) 1) x)) (+ (* 3 (/ (+ (* -36 (fmod (- 1 (* -1 x)) 1)) (* 54 (fmod (- 1 (* -1 x)) 1))) x)) (* 36 (/ (fmod (- 1 (* -1 x)) 1) x)))) (+ (* -36 (fmod (- 1 (* -1 x)) 1)) (* 54 (fmod (- 1 (* -1 x)) 1)))) x)) (* 18 (fmod (- 1 (* -1 x)) 1))) x))) (pow x 3)))>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
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#<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 (* -1/96 (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) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (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 (* -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))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms	x	@	inf	(/ (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms	x	@	-inf	(/ (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
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	@	inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))) (exp x))

rewrite273.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3214×	`fma-lowering-fma.f32`
3214×	`fma-lowering-fma.f64`
2462×	`-lowering-.f32`
2462×	`-lowering-.f64`
1790×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	274
1	324	242
2	2948	241
0	8518	241

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 419

Calls

Call 1

Inputs
(/ (fmod (+ 1 x) 1) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (+ 1 x) 1)
(+ 1 x)
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(fmod 1 1)
(/ (fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
(* (+ (- 0 x) 1) (fmod (exp x) (+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4)))))
(+ (- 0 x) 1)
(- 0 x)
(fmod (exp x) (+ 1 (* (* x x) (+ (* (* x x) -1/96) -1/4))))
(/ (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)
(+ 1 (* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))
(* x 1/6)
(* x (+ 1/2 (* x 1/6)))
(* x -1/96)
(* x (* x -1/96))
(* (* x x) -1/96)
(* (* x x) (+ (* (* x x) -1/96) -1/4))
(* (* x x) (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)

Outputs
(exp.f64 (.f64 (log.f64 (/.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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) 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 #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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (neg.f64 (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal -1 binary64))))
(/.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #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))))))))
(pow.f64 (/.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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #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 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) #s(literal -1 binary64))))
(.f64 (/.f64 #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)))))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 #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)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 x x) (.f64 (+.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 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.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 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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)))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.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 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) x))
(+.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #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))))))) (fma.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) x (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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))))))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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))))))) (fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(-.f64 (/.f64 #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 (.f64 (.f64 x x) (.f64 (+.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 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 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)))))))))
(fma.f64 #s(literal 1 binary64) x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.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)))))) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) x #s(literal 1 binary64))
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(fma.f64 (.f64 x x) #s(literal -1/96 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(fma.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -19/5760 binary64)) (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -19/5760 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) x) x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/884736 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))) (.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
(/.f64 (.f64 (.f64 x 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 (.f64 x 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)))) (.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 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64))) (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(.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 -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)

simplify276.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2408×	`-lowering-.f32`
2408×	`-lowering-.f64`
1782×	`sum3-define`
1740×	`sum4-define`
1704×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4185
1	1221	3633
2	4618	3603
0	8015	3603

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(fmod (+ 1 x) 1)
(+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1)))) (+ (* -1/2 (fmod (+ 1 x) 1)) (* 1/6 (fmod (+ 1 x) 1)))))) (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(* 6 (/ (fmod (+ 1 x) 1) (pow x 3)))
(/ (+ (* -18 (/ (fmod (+ 1 x) 1) x)) (* 6 (fmod (+ 1 x) 1))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (+ 1 x) 1)) (* 36 (fmod (+ 1 x) 1))) (pow x 2))) (* 6 (fmod (+ 1 x) 1))) (* 18 (/ (fmod (+ 1 x) 1) x))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (+ 1 x) 1)) (+ (* -3 (+ (* -54 (fmod (+ 1 x) 1)) (* 36 (fmod (+ 1 x) 1)))) (* 36 (fmod (+ 1 x) 1)))) (pow x 3))) (* 6 (fmod (+ 1 x) 1))) (+ (* -54 (/ (fmod (+ 1 x) 1) (pow x 2))) (+ (* 18 (/ (fmod (+ 1 x) 1) x)) (* 36 (/ (fmod (+ 1 x) 1) (pow x 2)))))) (pow x 3))
(* 6 (/ (fmod (- 1 (* -1 x)) 1) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* 18 (/ (fmod (- 1 (* -1 x)) 1) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* -1 (/ (- (+ (* -36 (/ (fmod (- 1 (* -1 x)) 1) x)) (* 54 (/ (fmod (- 1 (* -1 x)) 1) x))) (* 18 (fmod (- 1 (* -1 x)) 1))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (- 1 (* -1 x)) 1) x)) (+ (* 3 (/ (+ (* -36 (fmod (- 1 (* -1 x)) 1)) (* 54 (fmod (- 1 (* -1 x)) 1))) x)) (* 36 (/ (fmod (- 1 (* -1 x)) 1) x)))) (+ (* -36 (fmod (- 1 (* -1 x)) 1)) (* 54 (fmod (- 1 (* -1 x)) 1)))) x)) (* 18 (fmod (- 1 (* -1 x)) 1))) x))) (pow x 3)))
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (+ (* -1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/6 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(* 6 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3)))
(/ (+ (* -18 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 36 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (pow x 2))) (* 6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (* 18 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* -3 (+ (* -54 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 36 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) (* 36 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) (pow x 3))) (* 6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) (+ (* -54 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* 18 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 36 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2)))))) (pow x 3))
(* 6 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 18 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -1 (/ (- (+ (* -36 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 54 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) (* 18 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (+ (* 3 (/ (+ (* -36 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 54 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 36 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))) (+ (* -36 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 54 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))) x)) (* 18 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))) (pow x 3)))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (+ 1 (* x (- 1 (* -1/2 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)))
(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)))))
(+ (* -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)))))
(+ (* -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)))))
(* -1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* x (+ (* -1 (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))))))) x)))
(* x (+ (* -1 (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))))))) x)))
(* x (+ (* -1 (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))))))) x)))
(* -1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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))))
(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)))))))
(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 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)))
(* -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)))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -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))
(* -1/96 (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) (- (* -1/96 (pow x 2)) 1/4))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (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))))))
(* -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))

Outputs
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1)))) (+ (* -1/2 (fmod (+ 1 x) 1)) (* 1/6 (fmod (+ 1 x) 1)))))) (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) x)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(* 6 (/ (fmod (+ 1 x) 1) (pow x 3)))
(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (*.f64 x x))))
(/ (+ (* -18 (/ (fmod (+ 1 x) 1) x)) (* 6 (fmod (+ 1 x) 1))) (pow x 3))
(/.f64 (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 6 binary64)) (/.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -18 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (+ 1 x) 1)) (* 36 (fmod (+ 1 x) 1))) (pow x 2))) (* 6 (fmod (+ 1 x) 1))) (* 18 (/ (fmod (+ 1 x) 1) x))) (pow x 3))
(/.f64 (+.f64 (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -18 binary64) (.f64 x x)))) (/.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -18 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (+ 1 x) 1)) (+ (* -3 (+ (* -54 (fmod (+ 1 x) 1)) (* 36 (fmod (+ 1 x) 1)))) (* 36 (fmod (+ 1 x) 1)))) (pow x 3))) (* 6 (fmod (+ 1 x) 1))) (+ (* -54 (/ (fmod (+ 1 x) 1) (pow x 2))) (+ (* 18 (/ (fmod (+ 1 x) 1) x)) (* 36 (/ (fmod (+ 1 x) 1) (pow x 2)))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 6 binary64)) (/.f64 (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 36 binary64)) (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -108 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 54 binary64)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -54 binary64) (.f64 x x))) (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 18 binary64) x)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 36 binary64) (.f64 x x)))))) (.f64 x (*.f64 x x)))
(* 6 (/ (fmod (- 1 (* -1 x)) 1) (pow x 3)))
(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (*.f64 x x))))
(* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* 18 (/ (fmod (- 1 (* -1 x)) 1) x))) (pow x 3)))
(/.f64 (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 18 binary64) x)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -6 binary64))) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* -1 (/ (- (+ (* -36 (/ (fmod (- 1 (* -1 x)) 1) x)) (* 54 (/ (fmod (- 1 (* -1 x)) 1) x))) (* 18 (fmod (- 1 (* -1 x)) 1))) x))) (pow x 3)))
(/.f64 (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -6 binary64)) (/.f64 (.f64 #s(literal 18 binary64) (-.f64 (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) x)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1 (/ (+ (* -6 (fmod (- 1 (* -1 x)) 1)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (- 1 (* -1 x)) 1) x)) (+ (* 3 (/ (+ (* -36 (fmod (- 1 (* -1 x)) 1)) (* 54 (fmod (- 1 (* -1 x)) 1))) x)) (* 36 (/ (fmod (- 1 (* -1 x)) 1) x)))) (+ (* -36 (fmod (- 1 (* -1 x)) 1)) (* 54 (fmod (- 1 (* -1 x)) 1)))) x)) (* 18 (fmod (- 1 (* -1 x)) 1))) x))) (pow x 3)))
(/.f64 (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -108 binary64)) x) (+.f64 (/.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 36 binary64)) x) (+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 54 binary64) x)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -18 binary64))))) (-.f64 #s(literal 0 binary64) x)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -18 binary64))) x)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
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)))))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(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 (.f64 (.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(.f64 (-.f64 #s(literal 1 binary64) x) (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 (.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
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1
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1
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eval134.0ms (0.8%)

Compiler: Compiled 28663 to 1977 computations (93.1% saved)

prune127.0ms (0.7%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	846	9	855
Fresh	5	11	16
Picked	3	2	5
Done	0	3	3
Total	854	25	879

Accuracy

66.3%

Counts

879 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(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))
	24.6%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	24.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 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))))))))
	7.5%	(/.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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 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))))))))
	7.6%	(/.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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 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))))))
	6.3%	(/.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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) x))
	16.0%	(/.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)) (+.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))))))))
	25.6%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
	9.7%	(/.f64 (fmod.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (+.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))))))))
	7.3%	(/.f64 (fmod.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 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))))))))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (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))) (exp.f64 x))
✓	6.9%	(/.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)))))))) (exp.f64 x))
	6.5%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 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))))))))
✓	6.9%	(/.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))
	5.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))) (exp.f64 x))
	3.7%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x 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))))))))
✓	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.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 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	5.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))))) (exp.f64 x))
✓	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	5.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
	56.7%	(/.f64 (fmod.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))))))))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
	6.3%	(.f64 (-.f64 #s(literal 1 binary64) x) (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 (.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))))
	6.4%	(exp.f64 (.f64 (log.f64 (/.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) #s(literal 1 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1646 to 579 computations (64.8% saved)

regimes32.0ms (0.2%)

Counts

52 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

16.0ms	x
12.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
61.5%	2	`x`
61.6%	3	`(*.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)

regimes8.0ms (0%)

Counts

15 → 2

Calls

Call 1

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
60.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

(/.f64 (fmod.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))))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
25.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
24.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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
24.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch44.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-7.781507017608639e-154	-1.436465759075849e-157

Results

36.0ms

128×

valid

Compiler

Compiled 527 to 331 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 12.0ms (40.3% of total)

ival-fmod: 9.0ms (30.2% of total)

ival-mult: 2.0ms (6.7% of total)

ival-cos: 2.0ms (6.7% of total)

ival-sqrt: 2.0ms (6.7% of total)

backward-pass: 2.0ms (6.7% of total)

ival-neg: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

bsearch56.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	-1.5595607017003877e-307	2.2286815465711032e-305

Results

33.0ms	96×	1	valid
15.0ms	32×	2	valid

Compiler

Compiled 447 to 259 computations (42.1% saved)

Precisions

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

ival-fmod: 17.0ms (41.1% of total)

ival-exp: 15.0ms (36.3% of total)

ival-mult: 2.0ms (4.8% of total)

ival-cos: 2.0ms (4.8% of total)

ival-sqrt: 2.0ms (4.8% of total)

backward-pass: 2.0ms (4.8% of total)

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

const: 0.0ms (0% of total)

bsearch56.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	-1.5595607017003877e-307	2.2286815465711032e-305

Results

25.0ms	96×	1	valid
17.0ms	32×	2	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-exp: 15.0ms (43.3% of total)

ival-fmod: 10.0ms (28.9% of total)

ival-mult: 2.0ms (5.8% of total)

ival-cos: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

backward-pass: 2.0ms (5.8% of total)

ival-neg: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
20×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	165
1	68	165

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 (fmod.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (+.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 (fmod.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)))))))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 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 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)))))))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fmod.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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 (fmod.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x 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)))))))) (+.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 (fmod.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)))))))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 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 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)))))))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fmod.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)))))))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (fmod.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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #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))

soundness1.5s (8.2%)

Rules

2990×	`-lowering-.f32`
2990×	`-lowering-.f64`
2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
2640×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	395
1	228	372
2	768	360
3	3502	348
0	8399	348
0	361	4185
1	1221	3633
2	4618	3603
0	8015	3603
0	310	2329
1	1082	2130
2	4277	2108
0	8094	2108
0	226	2773
1	748	2505
2	2917	2440
0	9438	2440
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 859 to 487 computations (43.3% saved)

preprocess42.0ms (0.2%)

Compiler: Compiled 354 to 106 computations (70.1% 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	30	297
1	71	256
2	184	248
3	408	248
4	652	248
5	862	248
6	916	248
7	918	248
0	918	248

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	30	297
1	71	256
2	184	248
3	408	248
4	652	248
5	862	248
6	916	248
7	918	248
0	918	248

analyze275.0ms (1.6%)

sample7.8s (44.3%)

preprocess24.0ms (0.1%)

explain534.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize249.0ms (1.4%)

series4.0ms (0%)

rewrite101.0ms (0.6%)

simplify175.0ms (1%)

eval22.0ms (0.1%)

prune26.0ms (0.1%)

simplify40.0ms (0.2%)

localize456.0ms (2.6%)

series27.0ms (0.2%)

rewrite331.0ms (1.9%)

simplify267.0ms (1.5%)

eval103.0ms (0.6%)

prune92.0ms (0.5%)

simplify36.0ms (0.2%)

localize725.0ms (4.1%)

series38.0ms (0.2%)

rewrite367.0ms (2.1%)

simplify297.0ms (1.7%)

eval132.0ms (0.7%)

prune85.0ms (0.5%)

simplify149.0ms (0.8%)

localize2.8s (15.6%)

series20.0ms (0.1%)

rewrite273.0ms (1.5%)

simplify276.0ms (1.6%)

eval134.0ms (0.8%)

prune127.0ms (0.7%)

regimes32.0ms (0.2%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch44.0ms (0.2%)

bsearch56.0ms (0.3%)

bsearch56.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.5s (8.2%)

preprocess42.0ms (0.2%)

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

Iter	Nodes	Cost
0	30	297
1	71	256
2	184	248
3	408	248
4	652	248
5	862	248
6	916	248
7	918	248
0	918	248