Metrics for expfmod (used to be hard to sample)

analyze246.0ms (1.3%)

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: 154.0ms

ival-fmod: 45.0ms (29.1% of total)

ival-exp: 44.0ms (28.5% of total)

ival-cos: 22.0ms (14.2% of total)

ival-sqrt: 18.0ms (11.7% of total)

ival-mult: 12.0ms (7.8% of total)

ival-neg: 10.0ms (6.5% of total)

const: 1.0ms (0.6% of total)

backward-pass: 1.0ms (0.6% of total)

sample7.1s (36.9%)

Results

3.8s	1577×	5	exit
1.4s	4898×	1	valid
586.0ms	1342×	2	valid
415.0ms	3185×	0	invalid
268.0ms	2016×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-cos: 3.3s (58.8% of total)

ival-fmod: 831.0ms (14.6% of total)

ival-exp: 697.0ms (12.3% of total)

ival-sqrt: 277.0ms (4.9% of total)

backward-pass: 230.0ms (4% of total)

ival-mult: 187.0ms (3.3% of total)

ival-neg: 106.0ms (1.9% of total)

const: 13.0ms (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)))

explain613.0ms (3.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
203	-	203	(-1.3341094994681416e-278)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
0	-	0	-	`x`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`

Results

298.0ms	94×	5	exit
229.0ms	304×	1	valid
45.0ms	92×	2	valid
3.0ms	22×	0	valid

Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

ival-cos: 247.0ms (47.7% of total)

ival-fmod: 139.0ms (26.8% of total)

ival-exp: 64.0ms (12.3% of total)

backward-pass: 20.0ms (3.9% of total)

ival-mult: 20.0ms (3.9% of total)

ival-sqrt: 16.0ms (3.1% of total)

ival-neg: 13.0ms (2.5% 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
▶	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (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)

localize222.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	25.6%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Results

135.0ms	47×	5	exit
50.0ms	152×	1	valid
20.0ms	46×	2	valid
3.0ms	11×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

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

ival-cos: 107.0ms (58.5% of total)

ival-exp: 29.0ms (15.8% of total)

ival-fmod: 25.0ms (13.7% of total)

backward-pass: 9.0ms (4.9% of total)

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

ival-div: 5.0ms (2.7% 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))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	16	22
2	63	22
3	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)

simplify187.0ms (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)

eval21.0ms (0.1%)

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

prune31.0ms (0.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	210	12	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	12	223

Accuracy

25.6%

Counts

223 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(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))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (exp.f64 x))
▶	7.2%	(/.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))
	7.0%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
	7.2%	(/.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 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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)))))
▶	6.5%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	22.1%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.2%	(/.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)))))
	7.2%	(/.f64 (*.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))) (exp.f64 x))
▶	6.5%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
	7.2%	(.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))))

Compiler

Compiled 418 to 258 computations (38.3% saved)

simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	64	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	cost-diff	320	(/.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)))))
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	0	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.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	(exp.f64 x)
✓	cost-diff	0	(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	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)))))))) (exp.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	0	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Rules

2130×	`fma-define`
1854×	`fnmadd-define`
1472×	`fma-lowering-fma.f32`
1472×	`fma-lowering-fma.f64`
1380×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	191
1	57	181
2	118	180
3	226	180
4	351	180
5	448	180
6	643	180
7	896	180
8	2045	180
9	2383	180
10	2779	180
11	3535	180
12	4412	180
13	6790	180
0	8005	180

Stop Event

1×	iter limit
1×	node limit

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))) (- 1 x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(- 1 x)
1
(/ (/ 1 (exp x)) (/ 1 (fmod (exp x) (pow (cos x) 1/2))))
(/ 1 (exp x))
1
(exp x)
x
(/ 1 (fmod (exp x) (pow (cos x) 1/2)))
(fmod (exp x) (pow (cos x) 1/2))
(pow (cos x) 1/2)
(cos x)
1/2

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

localize1.2s (6.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(/.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)))))
✓	accuracy	25.6%	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	25.6%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	25.6%	(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	25.6%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	61.6%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Results

482.0ms	47×	5	exit
351.0ms	160×	1	valid
256.0ms	46×	2	valid
1.0ms	3×	0	valid

Compiler

Compiled 201 to 29 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 942.0ms

ival-pow: 369.0ms (39.2% of total)

ival-fmod: 175.0ms (18.6% of total)

ival-cos: 141.0ms (15% of total)

...c/correct-round.rkt:119:19: 103.0ms (10.9% of total)

ival-div: 45.0ms (4.8% of total)

ival-mult: 36.0ms (3.8% of total)

backward-pass: 33.0ms (3.5% of total)

ival-exp: 17.0ms (1.8% of total)

ival-sqrt: 9.0ms (1% of total)

ival-add: 8.0ms (0.8% of total)

ival-sub: 4.0ms (0.4% of total)

const: 2.0ms (0.2% of total)

series16.0ms (0.1%)

Counts

19 → 228

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

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 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (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 (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (/ 1 (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 (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 (* -1/96 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 x)>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (fmod (exp x) (sqrt (cos x))) (- 1 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	@	inf	(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (exp x))
1.0ms	x	@	-inf	(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (exp x))

rewrite258.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4460×	`-lowering-.f32`
4460×	`-lowering-.f64`
2738×	`/-lowering-/.f32`
2738×	`/-lowering-/.f64`
1312×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	139
1	137	130
2	850	130
0	8079	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 480

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x #s(literal -1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 x x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9216 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 #s(literal 1/384 binary64) x)) (.f64 x x)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))) (.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))))) (.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64)))) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x #s(literal -1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))) (.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))))) (neg.f64 (.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64))))) (+.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64))))) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9216 binary64))) (.f64 x x)) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x #s(literal -1/4 binary64))))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64))) #s(literal 1/64 binary64))) (+.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64))))) #s(literal -1/16 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9216 binary64))) #s(literal -1/16 binary64))) (+.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x #s(literal -1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))) (.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))))) (.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64))) #s(literal 1/64 binary64)) x) (+.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64))))) #s(literal -1/16 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64)))) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9216 binary64))) #s(literal -1/16 binary64)) x) (+.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x))) x)
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))))) x))
(.f64 (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64))) (/.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)))))))
(.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))) x))
(.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64))) (/.f64 x (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x #s(literal -1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (*.f64 x x)))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x 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 -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x))))))
(.f64 (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x)))))
(.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)))) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9216 binary64))) (.f64 (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64))))))) (+.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)))) (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9216 binary64))) (.f64 (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/96 binary64)) (+.f64 (.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64)))) (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/9216 binary64)))) (-.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/884736 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/96 binary64) (*.f64 x x))))))))

simplify189.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2442×	`+-lowering-+.f64`
2442×	`+-lowering-+.f32`
2336×	`-lowering-.f32`
2336×	`-lowering-.f64`
1496×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2043
1	639	1908
2	2469	1830
0	9757	1830

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) 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)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/ 1 (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 (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))
(* -1/96 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 x)
(* x (- (* -1/96 (pow x 2)) 1/4))
(* x (- (* -1/96 (pow x 2)) 1/4))
(* x (- (* -1/96 (pow x 2)) 1/4))
(* -1/96 (pow x 3))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 3))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))

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 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (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 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 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 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.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 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (.f64 x (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 x (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
(+ (* -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)))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))
(+ (* 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)))))
(+.f64 (.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) #s(literal -1/96 binary64)))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))
(+ (* 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)))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))) (.f64 x (.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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) #s(literal -1/96 binary64)))))) (exp.f64 x))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
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1
#s(literal 1 binary64)
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(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
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(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
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 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.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))
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(sqrt (cos x))
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(sqrt (cos x))
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(* -1/96 x)
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(* -1/96 x)
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(* -1/96 x)
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(* -1/96 x)
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(* -1/96 x)
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(* -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))
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(* -1/4 x)
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(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))
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(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
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(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
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(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))

eval117.0ms (0.6%)

Compiler: Compiled 20068 to 1897 computations (90.5% saved)

prune130.0ms (0.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	939	19	958
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	946	24	970

Accuracy

26.2%

Counts

970 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(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))
▶	5.6%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	14.1%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
	6.5%	(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (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)))))))) (+.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))))))))
	6.7%	(/.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))))))
▶	6.5%	(/.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) x))
✓	7.2%	(/.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))
	1.7%	(/.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))
	1.3%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x)))) (exp.f64 x))
	7.2%	(/.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 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	6.5%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))))
	6.3%	(/.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))))))))
	6.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	6.5%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	21.9%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
▶	7.2%	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
▶	6.5%	(/.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
	6.9%	(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))) (.f64 x (.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))))))
	6.5%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) x))
	6.5%	(.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	7.2%	(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 #s(literal -1/96 binary64) (*.f64 x x))))))))) #s(literal -1 binary64)))
	6.5%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 954 to 552 computations (42.1% saved)

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	64	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	cost-diff	64	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	64	(/.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
✓	cost-diff	0	(+.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	(exp.f64 x)
✓	cost-diff	0	(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	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))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))

Rules

2316×	`sum5-define`
2156×	`fma-define`
2098×	`fnmadd-define`
1376×	`fma-lowering-fma.f32`
1376×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	290
1	92	268
2	198	266
3	385	266
4	677	266
5	1093	266
6	2113	266
7	4484	266
8	6959	266
0	8038	266

Stop Event

1×	iter limit
1×	node limit

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

localize966.0ms (5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	25.6%	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/96 binary64))
✓	accuracy	25.6%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	25.6%	(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	25.6%	(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%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	100.0%	(exp.f64 x)

Results

470.0ms	47×	5	exit
239.0ms	152×	1	valid
118.0ms	46×	2	valid
10.0ms	11×	0	valid

Compiler

Compiled 308 to 37 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 717.0ms

ival-pow: 240.0ms (33.5% of total)

ival-cos: 132.0ms (18.4% of total)

ival-fmod: 113.0ms (15.8% of total)

ival-mult: 55.0ms (7.7% of total)

backward-pass: 43.0ms (6% of total)

ival-add: 40.0ms (5.6% of total)

ival-exp: 33.0ms (4.6% of total)

ival-div: 25.0ms (3.5% of total)

...c/correct-round.rkt:119:19: 25.0ms (3.5% of total)

ival-sub: 11.0ms (1.5% of total)

const: 2.0ms (0.3% of total)

series27.0ms (0.1%)

Counts

22 → 252

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 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 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 (/ (/ 1 (exp x)) (/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96))))))>
#<alt (/ (* (fmod (exp x) (pow (cos x) 1/2)) (- 1 (* x (* x x)))) (+ 1 (* x (+ 1 x))))>
#<alt (* (fmod (exp x) (pow (cos x) 1/2)) (- 1 (* x (* x x))))>
#<alt (fmod (exp x) (pow (cos x) 1/2))>
#<alt (pow (cos x) 1/2)>
#<alt (* x -1/96)>
#<alt (* x (* x -1/96))>
#<alt (* x (+ -1/4 (* x (* x -1/96))))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))>
#<alt (* (* x x) -1/96)>
#<alt (* (* x x) (+ -1/4 (* (* x x) -1/96)))>
#<alt (* x (* x x))>
#<alt (* x (+ 1 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 (* (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 (- (* 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)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (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))))))) x)>
#<alt (/ (+ (* -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)))))))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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))))))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3))) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) x)>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* -1 (/ (+ (* -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)))))))) x)) (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -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)))))))) 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))))))))) 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) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (exp x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<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)))) (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) (pow x 2))) (* -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))))>
#<alt (* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (fmod (exp x) (sqrt (cos x))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x)))))) x)) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))>
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#<alt (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (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 (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 (* -1/96 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 x)>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* x (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* -1/4 (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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>

Calls

63 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96))))))
4.0ms	x	@	inf	(/ (* (fmod (exp x) (pow (cos x) 1/2)) (- 1 (* x (* x x)))) (+ 1 (* x (+ 1 x))))
1.0ms	x	@	-inf	(/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96))))))
1.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 x))
1.0ms	x	@	0	(/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96))))))

rewrite3.4s (17.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4080×	`/-lowering-/.f32`
4080×	`/-lowering-/.f64`
4012×	`-lowering-.f32`
4012×	`-lowering-.f64`
1708×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	203
1	222	177
2	1432	176
0	8360	176

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 531

Calls

Call 1

Inputs
(/ (fmod 1 1) (exp x))
(fmod 1 1)
(exp x)
(fmod (exp x) 1)
(/ (fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))) (+ 1 x))
(fmod (exp x) (+ 1 (* x (* x (+ -1/4 (* x (* x -1/96)))))))
(+ 1 (* x (* x (+ -1/4 (* x (* x -1/96))))))
(/ (/ 1 (exp x)) (/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))))
(/ 1 (exp x))
(/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96))))))
(/ (* (fmod (exp x) (pow (cos x) 1/2)) (- 1 (* x (* x x)))) (+ 1 (* x (+ 1 x))))
(* (fmod (exp x) (pow (cos x) 1/2)) (- 1 (* x (* x x))))
(fmod (exp x) (pow (cos x) 1/2))
(pow (cos x) 1/2)
(* x -1/96)
(* x (* x -1/96))
(* x (+ -1/4 (* x (* x -1/96))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))
(* (* x x) -1/96)
(* (* x x) (+ -1/4 (* (* x x) -1/96)))
(* x (* x x))
(* x (+ 1 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 (/.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))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 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 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(/.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 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(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)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.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 (.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (-.f64 x #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 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 x #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 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
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(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
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(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.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 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))))) (neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9216 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))) #s(literal 1 binary64))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))) #s(literal 1 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))
(.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) x)
(.f64 (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)) #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 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64)))))) x)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 x (.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x x)) (-.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (.f64 x (+.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 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (-.f64 x (*.f64 x x))))
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(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))

simplify214.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2982×	`-lowering-.f32`
2982×	`-lowering-.f64`
2760×	`+-lowering-+.f64`
2760×	`+-lowering-+.f32`
1150×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2893
1	837	2598
2	2880	2402
0	8659	2402

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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 (* (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 (- (* 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)))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))) (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))))))) 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)))))))) x)
(/ (- (+ (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (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))))))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 3))) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))) x)
(/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)
(* -1 (/ (+ (* -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 (/ (+ (* -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)))))))) x)) (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -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)))))))) 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))))))))) 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) (+ 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))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(/ 1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(/ 1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(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)))) (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (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 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (- (+ (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) (pow x 2))) (* -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (fmod (exp x) (sqrt (cos x))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x)))))) x)) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x))))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))
(* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))
(* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))
(* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (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 (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))
(* -1/96 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 x)
(* x (- (* -1/96 (pow x 2)) 1/4))
(* x (- (* -1/96 (pow x 2)) 1/4))
(* x (- (* -1/96 (pow x 2)) 1/4))
(* -1/96 (pow x 3))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 3))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/96 (pow x 2))
(* -1/4 (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))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))

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

eval113.0ms (0.6%)

Compiler: Compiled 25032 to 2147 computations (91.4% saved)

prune160.0ms (0.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	895	13	908
Fresh	9	8	17
Picked	5	0	5
Done	1	1	2
Total	910	22	932

Accuracy

26.2%

Counts

932 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(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))
	13.0%	(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
▶	23.2%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
▶	21.9%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	6.7%	(/.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))
	7.1%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (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)))))))) (+.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))))))))
	6.7%	(/.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))))))
✓	7.2%	(/.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))
	1.7%	(/.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))))) (+.f64 #s(literal 1 binary64) x))
▶	1.3%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) x))
▶	7.2%	(/.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 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	6.5%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))))
▶	6.9%	(/.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) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))
	6.5%	(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
	6.5%	(/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
	6.5%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) x))
	6.5%	(.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	6.5%	(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
	6.5%	(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))))) #s(literal -1 binary64)))
	7.2%	(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))) (*.f64 x x)))))) #s(literal -1 binary64)))

Compiler

Compiled 980 to 591 computations (39.7% saved)

simplify218.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.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) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
✓	cost-diff	128	(/.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) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) #s(literal 1 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))

Rules

1540×	`sum5-define`
1538×	`fma-lowering-fma.f32`
1538×	`fma-lowering-fma.f64`
1478×	`sum4-define`
1458×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	400
1	112	357
2	330	349
3	743	343
4	1339	343
5	2447	343
6	3962	343
7	7706	343
0	8171	343

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize571.0ms (3%)

Localize:

Found 15 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	26.3%	(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	99.9%	(/.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) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/96 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	26.3%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	25.4%	(fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.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 #s(literal 1 binary64) x)
✓	accuracy	26.2%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

257.0ms	160×	1	valid
116.0ms	46×	2	valid
52.0ms	47×	0	invalid
8.0ms	2×	5	exit
1.0ms	1×	0	valid

Compiler

Compiled 404 to 45 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-fmod: 107.0ms (30.8% of total)

ival-mult: 78.0ms (22.5% of total)

...c/correct-round.rkt:119:19: 68.0ms (19.6% of total)

ival-add: 28.0ms (8.1% of total)

backward-pass: 26.0ms (7.5% of total)

ival-exp: 21.0ms (6.1% of total)

ival-div: 12.0ms (3.5% of total)

ival-sqrt: 6.0ms (1.7% of total)

const: 2.0ms (0.6% of total)

series20.0ms (0.1%)

Counts

23 → 264

Calls

Call 1

Inputs
#<alt (fmod (+ 1 x) 1)>
#<alt (+ 1 x)>
#<alt (fmod 1 1)>
#<alt (/ (fmod (exp x) (* x (* x (* x (* x -1/96))))) (+ 1 x))>
#<alt (fmod (exp x) (* x (* x (* x (* x -1/96)))))>
#<alt (exp x)>
#<alt (* x (* x (* x (* x -1/96))))>
#<alt (/ (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))) (/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))))>
#<alt (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))>
#<alt (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))>
#<alt (+ -1 (* x (+ 1/2 (* x -1/6))))>
#<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 (* x -1/96)))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))>
#<alt (* x -1/6)>
#<alt (* (* 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 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)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<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 (- (* 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))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (* -1/96 (pow x 4))))) (* -1 (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))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (* -1/96 (pow x 4))) x)) (fmod (exp x) (* -1/96 (pow x 4)))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (* -1/96 (pow x 4))) (pow x 2)) (fmod (exp x) (* -1/96 (pow x 4)))) (/ (fmod (exp x) (* -1/96 (pow x 4))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (* -1/96 (pow x 4))) (pow x 3))) (fmod (exp x) (* -1/96 (pow x 4)))) (+ (* -1 (/ (fmod (exp x) (* -1/96 (pow x 4))) (pow x 2))) (/ (fmod (exp x) (* -1/96 (pow x 4))) x))) x)>
#<alt (/ (fmod (exp x) (* -1/96 (pow x 4))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (/ (fmod (exp x) (* -1/96 (pow x 4))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (* -1/96 (pow x 4))) x) (fmod (exp x) (* -1/96 (pow x 4)))) x)) (* -1 (fmod (exp x) (* -1/96 (pow x 4))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (* -1/96 (pow x 4))) x) (fmod (exp x) (* -1/96 (pow x 4)))) x)) (fmod (exp x) (* -1/96 (pow x 4)))) x)) (* -1 (fmod (exp x) (* -1/96 (pow x 4))))) 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>
#<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 (* -1/96 (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 (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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* 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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (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)))))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))>
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 1/2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 1/2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* 1/2 (/ (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))))))) (pow x 3))))))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 1/2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)))))))) x)) (* 1/2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<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 (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (pow x 3))>
#<alt (* -1/96 (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 (* -1/6 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 (* -1/96 (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 (* 1/24 (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

66 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (* x x) -1/720)
2.0ms	x	@	inf	(sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))
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	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
1.0ms	x	@	-inf	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))))) (exp x))

rewrite576.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3286×	`-lowering-.f32`
3286×	`-lowering-.f64`
2636×	`/-lowering-/.f32`
2636×	`/-lowering-/.f64`
2390×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	245
1	252	211
2	2202	205
0	9118	205

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 373

Calls

Call 1

Inputs
(fmod (+ 1 x) 1)
(+ 1 x)
(fmod 1 1)
(/ (fmod (exp x) (* x (* x (* x (* x -1/96))))) (+ 1 x))
(fmod (exp x) (* x (* x (* x (* x -1/96)))))
(exp x)
(* x (* x (* x (* x -1/96))))
(/ (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))) (/ 1 (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -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))))
(/ (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 (* x -1/96)))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* (* x x) -1/96)))))
(* x -1/6)
(* (* x x) -1/96)
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(* (* x x) -1/720)
(+ 1/24 (* (* x x) -1/720))

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

simplify330.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
2842×	`+-lowering-+.f64`
2842×	`+-lowering-+.f32`
1252×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3284
1	921	2903
2	3196	2739
0	8677	2739

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(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)))
(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 (- (* 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))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (* -1/96 (pow x 4))))) (* -1 (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))) x)
(/ (+ (* -1 (/ (fmod (exp x) (* -1/96 (pow x 4))) x)) (fmod (exp x) (* -1/96 (pow x 4)))) x)
(/ (- (+ (/ (fmod (exp x) (* -1/96 (pow x 4))) (pow x 2)) (fmod (exp x) (* -1/96 (pow x 4)))) (/ (fmod (exp x) (* -1/96 (pow x 4))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (* -1/96 (pow x 4))) (pow x 3))) (fmod (exp x) (* -1/96 (pow x 4)))) (+ (* -1 (/ (fmod (exp x) (* -1/96 (pow x 4))) (pow x 2))) (/ (fmod (exp x) (* -1/96 (pow x 4))) x))) x)
(/ (fmod (exp x) (* -1/96 (pow x 4))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (* -1/96 (pow x 4)))) (/ (fmod (exp x) (* -1/96 (pow x 4))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (* -1/96 (pow x 4))) x) (fmod (exp x) (* -1/96 (pow x 4)))) x)) (* -1 (fmod (exp x) (* -1/96 (pow x 4))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (* -1/96 (pow x 4))) x) (fmod (exp x) (* -1/96 (pow x 4)))) x)) (fmod (exp x) (* -1/96 (pow x 4)))) x)) (* -1 (fmod (exp x) (* -1/96 (pow x 4))))) 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
(+ 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)
(* -1/96 (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))
(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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* 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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (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)))))
(* -1/6 (* (pow x 3) (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)))))))) (* 1/2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (* 1/2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (+ (* 1/2 (/ (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))))))) (pow x 3))))))
(* -1/6 (* (pow x 3) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (* 1/2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)))))))) x)) (* 1/2 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))) x)) (* 1/6 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(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))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (pow x 3))
(* -1/96 (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)))))))
(* -1/6 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)
(* -1/96 (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))
(* 1/24 (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 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
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(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
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(exp x)
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(exp x)
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(exp x)
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(* -1/96 (pow x 4))
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(* -1/96 (pow x 4))
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1
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(* -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 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1/96 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/96 binary64))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 binary64))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 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) #s(literal 1/96 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))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* -1/96 (pow x 2))
(.f64 x (.f64 x #s(literal -1/96 binary64)))
(* 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 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))) x) x)
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))) x) x)
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))) x) x)
(* -1/720 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) 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))))
(* (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 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) 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))))
(* (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)))))

eval90.0ms (0.5%)

Compiler: Compiled 24636 to 2025 computations (91.8% saved)

prune143.0ms (0.7%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	708	11	719
Fresh	5	11	16
Picked	2	3	5
Done	0	1	1
Total	715	26	741

Accuracy

64.8%

Counts

741 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(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))
	12.6%	(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	13.0%	(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
✓	23.2%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	1.3%	(fmod.f64 (exp.f64 x) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x))))
	60.1%	(fmod.f64 x #s(literal 1 binary64))
✓	21.9%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	6.7%	(/.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))
	7.1%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (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)))))))) (+.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))))))))
✓	7.2%	(/.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))
	1.7%	(/.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))))) (+.f64 #s(literal 1 binary64) x))
	1.3%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/96 binary64)))) (+.f64 #s(literal 1 binary64) x))
	1.3%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/96 binary64))))) (+.f64 #s(literal 1 binary64) x))
✓	7.2%	(/.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 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	5.6%	(/.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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))))) (exp.f64 x))
	2.2%	(/.f64 (fmod.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) x))
	6.9%	(/.f64 (/.f64 #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 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/96 binary64))))))))
	6.9%	(/.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) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64))))))))
	6.7%	(/.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) (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 (*.f64 x x) #s(literal -1/96 binary64))))))))
	6.5%	(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
	6.5%	(/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
	6.5%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) x))
	6.5%	(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
	6.9%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))))) #s(literal -1 binary64)))

Compiler

Compiled 1754 to 606 computations (65.5% saved)

regimes58.0ms (0.3%)

Counts

57 → 2

Calls

Call 1

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

Outputs

(/.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))

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

Calls

2 calls:

36.0ms	x
13.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
63.0%	2	`x`
63.9%	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)

regimes16.0ms (0.1%)

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
62.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
61.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.8%	2	`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 x #s(literal 1 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
21.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch54.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	-8.393139051797977e-158	-1.0551684854859347e-163

Results

46.0ms

144×

valid

Compiler

Compiled 348 to 227 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-exp: 16.0ms (41.5% of total)

ival-fmod: 9.0ms (23.3% of total)

ival-cos: 4.0ms (10.4% of total)

backward-pass: 3.0ms (7.8% of total)

ival-mult: 2.0ms (5.2% of total)

ival-sqrt: 2.0ms (5.2% of total)

ival-neg: 2.0ms (5.2% of total)

const: 0.0ms (0% of total)

bsearch110.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
107.0ms	-2.1513497489565175e-307	2.083568235808972e-308

Results

62.0ms	48×	2	valid
41.0ms	64×	1	valid

Compiler

Compiled 211 to 137 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-exp: 76.0ms (79% of total)

ival-fmod: 11.0ms (11.4% of total)

ival-mult: 2.0ms (2.1% of total)

ival-cos: 2.0ms (2.1% of total)

backward-pass: 2.0ms (2.1% of total)

ival-sqrt: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1% of total)

const: 0.0ms (0% of total)

bsearch59.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	-2.1513497489565175e-307	2.083568235808972e-308

Results

36.0ms	48×	2	valid
16.0ms	64×	1	valid

Compiler

Compiled 141 to 102 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-exp: 16.0ms (49% of total)

ival-fmod: 7.0ms (21.5% of total)

ival-mult: 2.0ms (6.1% of total)

ival-cos: 2.0ms (6.1% of total)

backward-pass: 2.0ms (6.1% of total)

ival-sqrt: 2.0ms (6.1% of total)

ival-neg: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	-2.1513497489565175e-307	2.083568235808972e-308

Results

29.0ms	48×	2	valid
18.0ms	64×	1	valid

Compiler

Compiled 99 to 74 computations (25.3% saved)

Precisions

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

ival-exp: 16.0ms (44.3% of total)

ival-fmod: 9.0ms (24.9% of total)

ival-sqrt: 4.0ms (11.1% of total)

ival-mult: 2.0ms (5.5% of total)

ival-cos: 2.0ms (5.5% of total)

backward-pass: 2.0ms (5.5% of total)

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

const: 0.0ms (0% of total)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	101
1	69	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))))) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))))) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #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 x #s(literal 1 binary64))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.3s (6.6%)

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
2982×	`-lowering-.f32`
2982×	`-lowering-.f64`
2842×	`+-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	239	2893
1	837	2598
2	2880	2402
0	8659	2402
0	289	3284
1	921	2903
2	3196	2739
0	8677	2739
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
0	186	2043
1	639	1908
2	2469	1830
0	9757	1830

Stop Event

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

Compiler

Compiled 502 to 308 computations (38.6% saved)

preprocess46.0ms (0.2%)

Compiler: Compiled 226 to 110 computations (51.3% saved)

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

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

analyze246.0ms (1.3%)

sample7.1s (36.9%)

preprocess24.0ms (0.1%)

explain613.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize222.0ms (1.2%)

series4.0ms (0%)

rewrite86.0ms (0.4%)

simplify187.0ms (1%)

eval21.0ms (0.1%)

prune31.0ms (0.2%)

simplify154.0ms (0.8%)

localize1.2s (6.3%)

series16.0ms (0.1%)

rewrite258.0ms (1.3%)

simplify189.0ms (1%)

eval117.0ms (0.6%)

prune130.0ms (0.7%)

simplify130.0ms (0.7%)

localize966.0ms (5%)

series27.0ms (0.1%)

rewrite3.4s (17.6%)

simplify214.0ms (1.1%)

eval113.0ms (0.6%)

prune160.0ms (0.8%)

simplify218.0ms (1.1%)

localize571.0ms (3%)

series20.0ms (0.1%)

rewrite576.0ms (3%)

simplify330.0ms (1.7%)

eval90.0ms (0.5%)

prune143.0ms (0.7%)

regimes58.0ms (0.3%)

regimes16.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch54.0ms (0.3%)

bsearch110.0ms (0.6%)

bsearch59.0ms (0.3%)

bsearch53.0ms (0.3%)

simplify9.0ms (0%)

soundness1.3s (6.6%)

preprocess46.0ms (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