Metrics for expfmod (used to be hard to sample)

analyze255.0ms (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: 141.0ms

ival-fmod: 50.0ms (35.5% of total)

ival-exp: 34.0ms (24.1% of total)

ival-cos: 16.0ms (11.3% of total)

ival-sqrt: 16.0ms (11.3% of total)

ival-mult: 14.0ms (9.9% of total)

ival-neg: 10.0ms (7.1% of total)

const: 1.0ms (0.7% of total)

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

sample7.4s (36.7%)

Results

3.9s	1572×	5	exit
1.7s	4867×	1	valid
633.0ms	1369×	2	valid
420.0ms	3322×	0	invalid
238.0ms	2020×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.1s

ival-cos: 3.3s (54.6% of total)

ival-fmod: 898.0ms (14.8% of total)

ival-exp: 709.0ms (11.7% of total)

ival-mult: 410.0ms (6.8% of total)

ival-sqrt: 303.0ms (5% of total)

backward-pass: 301.0ms (5% of total)

ival-neg: 119.0ms (2% of total)

const: 13.0ms (0.2% of total)

Bogosity

preprocess134.0ms (0.7%)

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)))

explain561.0ms (2.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
201	-	201	(1.0015749175410826e-67)	`(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

271.0ms	86×	5	exit
131.0ms	304×	1	valid
113.0ms	80×	2	valid
8.0ms	42×	0	valid

Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-cos: 263.0ms (64.3% of total)

ival-exp: 42.0ms (10.3% of total)

ival-fmod: 38.0ms (9.3% of total)

backward-pass: 26.0ms (6.4% of total)

ival-sqrt: 23.0ms (5.6% of total)

ival-mult: 10.0ms (2.4% of total)

ival-neg: 6.0ms (1.5% 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
▶	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (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)

localize266.0ms (1.3%)

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	26.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Results

131.0ms	43×	5	exit
79.0ms	152×	1	valid
20.0ms	40×	2	valid
3.0ms	21×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-cos: 104.0ms (53.8% of total)

ival-fmod: 49.0ms (25.4% of total)

ival-exp: 15.0ms (7.8% of total)

ival-sqrt: 10.0ms (5.2% of total)

backward-pass: 10.0ms (5.2% of total)

ival-div: 5.0ms (2.6% 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))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 124

Calls

Call 1

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

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

simplify200.0ms (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	360
2	769	347
3	3498	334
0	8360	334

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval22.0ms (0.1%)

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

prune112.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	211	11	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	11	223

Accuracy

26.3%

Counts

223 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(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))
▶	6.5%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
	9.4%	(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (.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))))) (exp.f64 x))
	8.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
	8.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
▶	9.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	20.7%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	8.7%	(.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)))
▶	9.4%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))

Compiler

Compiled 300 to 206 computations (31.3% saved)

simplify277.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	cost-diff	64	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	cost-diff	192	(*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
✓	cost-diff	6592	(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)))))))
✓	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 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(cos.f64 x)
✓	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	(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

1970×	`fmsub-define`
1820×	`fma-lowering-fma.f32`
1820×	`fma-lowering-fma.f64`
1696×	`fnmsub-define`
1614×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	154
1	49	151
2	103	149
3	250	148
4	531	148
5	1135	148
6	3956	148
7	7063	148
0	8237	148

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) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(* (fmod (exp x) (sqrt (cos x))) (+ (* x (* x 1/2)) (- 1 x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(+ (* x (* x 1/2)) (- 1 x))
(* x (* x 1/2))
(* x 1/2)
1/2
(- 1 x)
1
(exp (* -1 (- x (log (fmod (exp x) (pow (cos x) 1/2))))))
(* -1 (- x (log (fmod (exp x) (pow (cos x) 1/2)))))
-1
(- x (log (fmod (exp x) (pow (cos x) 1/2))))
x
(log (fmod (exp x) (pow (cos x) 1/2)))
(fmod (exp x) (pow (cos x) 1/2))
(exp x)
(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) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(* (fmod (exp x) (sqrt (cos x))) (+ (* x (* x 1/2)) (- 1 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(+ (* x (* x 1/2)) (- 1 x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* x (* x 1/2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(exp (* -1 (- x (log (fmod (exp x) (pow (cos x) 1/2))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (- x (log (fmod (exp x) (pow (cos x) 1/2)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
-1
#s(literal -1 binary64)
(- x (log (fmod (exp x) (pow (cos x) 1/2))))
(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
x
(log (fmod (exp x) (pow (cos x) 1/2)))
(log.f64 (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)))
(exp x)
(exp.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 (6.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	accuracy	96.6%	(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)))))))
✓	accuracy	61.7%	(log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(.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)))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	60.7%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Results

616.0ms	194×	1	valid
494.0ms	43×	5	exit
63.0ms	19×	2	valid

Compiler

Compiled 166 to 24 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 974.0ms

ival-pow: 456.0ms (46.8% of total)

ival-cos: 144.0ms (14.8% of total)

ival-log: 102.0ms (10.5% of total)

ival-fmod: 94.0ms (9.6% of total)

ival-exp: 67.0ms (6.9% of total)

backward-pass: 61.0ms (6.3% of total)

ival-mult: 21.0ms (2.2% of total)

ival-div: 9.0ms (0.9% of total)

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

ival-sqrt: 7.0ms (0.7% of total)

ival-add: 3.0ms (0.3% of total)

const: 2.0ms (0.2% of total)

series132.0ms (0.7%)

Counts

16 → 192

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

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

Calls

48 calls:

Time	Variable		Point	Expression
70.0ms	x	@	0	(log (fmod (exp x) (pow (cos x) 1/2)))
25.0ms	x	@	inf	(log (fmod (exp x) (pow (cos x) 1/2)))
13.0ms	x	@	-inf	(log (fmod (exp x) (pow (cos x) 1/2)))
7.0ms	x	@	0	(* -1 (- x (log (fmod (exp x) (pow (cos x) 1/2)))))
4.0ms	x	@	inf	(* -1 (- x (log (fmod (exp x) (pow (cos x) 1/2)))))

rewrite274.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4668×	`-lowering-.f32`
4668×	`-lowering-.f64`
3202×	`/-lowering-/.f32`
3202×	`/-lowering-/.f64`
1718×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	103	104
2	725	102
0	8469	102

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 383

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #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) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(exp.f64 (*.f64 #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)
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
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(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/64 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (.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) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.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) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.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) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.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 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x))))
(.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(.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)))

simplify212.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2908×	`-lowering-.f32`
2908×	`-lowering-.f64`
1876×	`+-lowering-+.f64`
1876×	`+-lowering-+.f32`
1636×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1610
1	535	1471
2	1839	1382
3	7906	1382
0	8062	1382

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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) (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 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (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 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(log (fmod (exp x) (sqrt (cos x))))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(* -1 x)
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(* -1 (log (fmod (exp x) (sqrt (cos x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
x
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
x
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 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)))
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))

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

eval92.0ms (0.5%)

Compiler: Compiled 17762 to 1543 computations (91.3% saved)

prune89.0ms (0.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	784	15	799
Fresh	1	5	6
Picked	4	1	5
Done	0	0	0
Total	789	21	810

Accuracy

64.5%

Counts

810 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
	9.4%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
▶	6.5%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	9.4%	(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	16.5%	(/.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))
	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (.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))))) (exp.f64 x))
▶	8.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
	8.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	8.5%	(/.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))))))))
	7.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	9.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	5.5%	(/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
▶	9.4%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
▶	8.7%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (.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 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 x (*.f64 x x))))))
▶	60.3%	(exp.f64 (-.f64 #s(literal 0 binary64) x))
	9.0%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
	6.5%	(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 840 to 461 computations (45.1% saved)

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
✓	cost-diff	0	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
✓	cost-diff	6400	(exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
✓	cost-diff	6528	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
✓	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 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 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	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(exp.f64 (-.f64 #s(literal 0 binary64) x))

Rules

3128×	`sum5-define`
1808×	`sum3-define`
1774×	`fma-define`
1566×	`fnmadd-define`
1364×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	164
1	61	152
2	122	152
3	297	151
4	695	151
5	1454	151
6	4514	151
0	8017	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (- 0 x))
(- 0 x)
0
x
(fmod (exp x) 1)
(exp x)
x
1
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ (* x (* x 1/2)) (- 1 x)))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(exp x)
x
(+ 1 (* x (* x -1/4)))
1
(* x (* x -1/4))
(* x -1/4)
-1/4
(+ (* x (* x 1/2)) (- 1 x))
(* x (* x 1/2))
(* x 1/2)
1/2
(- 1 x)
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(+ x 1)
1
(/ 1 (exp (- x (log (fmod (exp x) (sqrt (cos x)))))))
1
(exp (- x (log (fmod (exp x) (sqrt (cos x))))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
x
(log (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(sqrt (cos x))
(cos x)

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

localize842.0ms (4.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
✓	accuracy	96.6%	(exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
✓	accuracy	61.7%	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) x))

Results

267.0ms	43×	5	exit
267.0ms	57×	2	valid
249.0ms	150×	1	valid
5.0ms	2×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 171 to 28 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 589.0ms

ival-cos: 156.0ms (26.5% of total)

ival-exp: 120.0ms (20.4% of total)

backward-pass: 92.0ms (15.6% of total)

ival-log: 86.0ms (14.6% of total)

ival-fmod: 69.0ms (11.7% of total)

ival-mult: 20.0ms (3.4% of total)

ival-sub: 12.0ms (2% of total)

ival-add: 12.0ms (2% of total)

ival-div: 11.0ms (1.9% of total)

ival-sqrt: 9.0ms (1.5% of total)

const: 2.0ms (0.3% of total)

series132.0ms (0.7%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (fmod (exp x) 1)>
#<alt (exp x)>
#<alt (* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ (* x (* x 1/2)) (- 1 x)))>
#<alt (fmod (exp x) (+ 1 (* x (* x -1/4))))>
#<alt (+ 1 (* x (* x -1/4)))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (+ x 1))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (sqrt (cos x))>
#<alt (/ 1 (exp (- x (log (fmod (exp x) (sqrt (cos x)))))))>
#<alt (exp (- x (log (fmod (exp x) (sqrt (cos x))))))>
#<alt (- x (log (fmod (exp x) (sqrt (cos x)))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (* x 1/2)) (- 1 x))>
#<alt (cos x)>

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

48 calls:

Time	Variable		Point	Expression
107.0ms	x	@	0	(- x (log (fmod (exp x) (sqrt (cos x)))))
5.0ms	x	@	inf	(log (fmod (exp x) (sqrt (cos x))))
5.0ms	x	@	-inf	(log (fmod (exp x) (sqrt (cos x))))
5.0ms	x	@	0	(log (fmod (exp x) (sqrt (cos x))))
1.0ms	x	@	inf	(- x (log (fmod (exp x) (sqrt (cos x)))))

rewrite3.8s (18.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4554×	`-lowering-.f32`
4554×	`-lowering-.f64`
3932×	`/-lowering-/.f32`
3932×	`/-lowering-/.f64`
1894×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	113
1	139	103
2	1107	103
0	8478	103

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 323

Calls

Call 1

Inputs
(exp (- 0 x))
(- 0 x)
(fmod (exp x) 1)
(exp x)
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ (* x (* x 1/2)) (- 1 x)))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(+ 1 (* x (* x -1/4)))
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(/ 1 (exp (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (- x (log (fmod (exp x) (sqrt (cos x))))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
(log (fmod (exp x) (sqrt (cos x))))
(+ (* x (* x 1/2)) (- 1 x))
(cos x)

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

simplify266.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

4222×	`-lowering-.f32`
4222×	`-lowering-.f64`
1754×	`--lowering--.f32`
1754×	`--lowering--.f64`
1286×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	1870
1	609	1567
2	1656	1425
3	6575	1425
0	8392	1425

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

eval83.0ms (0.4%)

Compiler: Compiled 14300 to 1412 computations (90.1% saved)

prune112.0ms (0.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	597	17	614
Fresh	9	6	15
Picked	5	0	5
Done	1	0	1
Total	612	23	635

Accuracy

64.5%

Counts

635 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
	9.4%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
	23.4%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	20.3%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	9.4%	(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	8.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (.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))))) (exp.f64 x))
▶	8.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 x #s(literal 1 binary64)))
	5.5%	(/.f64 (+.f64 (pow.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) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.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) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))) #s(literal 2 binary64)) (.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) x)) (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))))
	8.2%	(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (+.f64 x #s(literal 1 binary64)))
	8.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	9.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
▶	43.9%	(-.f64 #s(literal 1 binary64) x)
	8.8%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	17.0%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (.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 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	2.8%	(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
▶	8.2%	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	6.5%	(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶	46.4%	#s(literal 1 binary64)

Compiler

Compiled 1044 to 564 computations (46% saved)

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	cost-diff	64	(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	cost-diff	64	(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
✓	cost-diff	12992	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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 #s(literal -1/2 binary64))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)

Rules

1130×	`fnmadd-define`
930×	`fma-define`
778×	`fmsub-define`
768×	`fnmsub-define`
754×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	166
1	46	158
2	64	157
3	76	157
4	89	156
5	107	156
6	140	156
7	183	156
8	282	156
9	338	156
10	398	156
11	501	156
12	702	156
13	1384	156
14	1835	156
15	2435	156
16	2793	156
17	3131	156
18	3589	156
19	3945	156
20	4103	156
21	4187	156
22	4211	156
0	4211	156

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize737.0ms (3.6%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	accuracy	96.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
✓	accuracy	78.6%	(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 x x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	26.2%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)

Results

298.0ms	127×	1	valid
177.0ms	38×	3	valid
165.0ms	40×	2	valid
21.0ms	8×	0	valid
19.0ms	43×	0	invalid

Compiler

Compiled 186 to 28 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-pow: 197.0ms (44.1% of total)

ival-fmod: 59.0ms (13.2% of total)

ival-cos: 40.0ms (8.9% of total)

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

backward-pass: 32.0ms (7.2% of total)

ival-log: 24.0ms (5.4% of total)

ival-mult: 23.0ms (5.1% of total)

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

ival-add: 9.0ms (2% of total)

ival-sub: 5.0ms (1.1% of total)

ival-sqrt: 5.0ms (1.1% of total)

const: 2.0ms (0.4% of total)

series12.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x)>
#<alt (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<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 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))>
#<alt (+ (* x (- (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (* -1 (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))>
#<alt (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 3))) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x))) x)>
#<alt (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/128 (pow x 2)) 1/32)) 1/4)))>
#<alt (* x (sqrt -1/2))>
#<alt (* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2))))))>
#<alt (* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3)))))>
#<alt (* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3))))))>
#<alt (* -1 (* x (sqrt -1/2)))>
#<alt (* -1 (* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3)))))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* 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))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)>
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))>
#<alt (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (+ (* -1 x) (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x)))))))>
#<alt (+ (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x)))))) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x)))))) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x)))))>
#<alt (- (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))) (/ 1 x))>
#<alt (- (+ (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))) (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))) (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))>
#<alt (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))) (/ 1 x))>
#<alt (+ (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))>
#<alt (log (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ x (log (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))>
#<alt (- (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))>
#<alt (/ x (fmod (exp x) (sqrt (cos x))))>
#<alt (* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (/ x (fmod (exp x) (sqrt (cos x))))>
#<alt (* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (log (/ (+ x 1) (fmod (exp x) (pow (cos x) 1/2)))) -1)
1.0ms	x	@	inf	(* (log (/ (+ x 1) (fmod (exp x) (pow (cos x) 1/2)))) -1)
1.0ms	x	@	inf	(sqrt (+ 1 (* x (* x -1/2))))
0.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (+ 1 (* x (* x -1/2))))) (+ x 1))
0.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1))

rewrite291.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4004×	`-lowering-.f32`
4004×	`-lowering-.f64`
3026×	`/-lowering-/.f32`
3026×	`/-lowering-/.f64`
1438×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	120
1	117	109
2	796	108
0	8171	108

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 546

Calls

Call 1

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

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

simplify323.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3684×	`-lowering-.f32`
3684×	`-lowering-.f64`
2848×	`+-lowering-+.f64`
2848×	`+-lowering-+.f32`
2206×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	2417
1	1007	2021
2	2639	1795
0	8317	1795

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)
(/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)
(/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x)
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))
(+ (* x (- (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (* -1 (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))
(/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)
(/ (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)
(/ (- (+ (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 3))) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x))) x)
(/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/128 (pow x 2)) 1/32)) 1/4)))
(* x (sqrt -1/2))
(* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2))))))
(* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3)))))
(* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3))))))
(* -1 (* x (sqrt -1/2)))
(* -1 (* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2)))))))
(* -1 (* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3))))))
(* -1 (* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3)))))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* 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))) x)
(/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)
(/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)
(/ (fmod (exp x) (sqrt (cos x))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) 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))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))
(* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x))))))
(+ (* -1 x) (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x)))))))
(+ (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x)))))) (* x (- (* 1/2 x) 1)))
(+ (* -1 (log (/ 1 (fmod (exp x) (sqrt (cos x)))))) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x)))))
(- (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))) (/ 1 x))
(- (+ (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))) (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ (* -1 (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))) (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))
(* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x)))))
(- (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))) (/ 1 x))
(+ (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))
(log (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ x (log (/ 1 (fmod (exp x) (sqrt (cos x))))))
(+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* x (+ 1 (* -1/2 x))))
(+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ 1 x))) (/ 1 x)))
(- (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))
(+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log (/ -1 (fmod (exp x) (sqrt (cos x))))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(/ x (fmod (exp x) (sqrt (cos x))))
(* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))
(* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))
(* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))
(/ x (fmod (exp x) (sqrt (cos x))))
(* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))
(* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))
(* x (+ (/ 1 (* x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x))))))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))

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

eval90.0ms (0.4%)

Compiler: Compiled 17752 to 2110 computations (88.1% saved)

prune149.0ms (0.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	728	16	744
Fresh	3	15	18
Picked	3	2	5
Done	0	0	0
Total	734	33	767

Accuracy

64.5%

Counts

767 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
	9.4%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
	8.2%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
	23.4%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	20.3%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	9.4%	(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	16.4%	(/.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 #s(literal -1/4 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
	8.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) (+.f64 x #s(literal 1 binary64)))
	9.4%	(/.f64 (fmod.f64 (exp.f64 x) (.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))))) (exp.f64 x))
	2.8%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))
	43.7%	(/.f64 (-.f64 (-.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)))
	5.5%	(/.f64 (+.f64 (pow.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) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.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) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))) #s(literal 2 binary64)) (.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) x)) (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))))
	43.7%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.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 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
	8.2%	(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (+.f64 x #s(literal 1 binary64)))
	8.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
	43.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
	9.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
✓	43.9%	(-.f64 #s(literal 1 binary64) x)
	4.4%	(-.f64 #s(literal 0 binary64) x)
	8.2%	(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
	8.8%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	17.0%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	8.7%	(.f64 (fmod.f64 (exp.f64 x) (.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 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
	44.9%	(.f64 (/.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
	46.3%	(.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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)))))
	45.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.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)))))
	5.0%	(exp.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal -1 binary64)))
	8.2%	(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	8.2%	(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
	6.5%	(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
✓	46.4%	#s(literal 1 binary64)

Compiler

Compiled 2065 to 664 computations (67.8% saved)

regimes43.0ms (0.2%)

Counts

61 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (.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 (-.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.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 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 x #s(literal 1 binary64)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 x (*.f64 x 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 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #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 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(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))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
(.f64 (fmod.f64 (exp.f64 x) (.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 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 (exp.f64 x) (.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))))) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.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) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.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) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))) #s(literal 2 binary64)) (.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) x)) (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))))
(exp.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.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 (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))

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

Calls

2 calls:

20.0ms	x
14.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
63.6%	2	`x`
62.7%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (.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 (-.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.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 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))

Outputs
#s(literal 1 binary64)
(exp.f64 (-.f64 #s(literal 0 binary64) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (.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 (-.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.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 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (.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 (-.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.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 x (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))

Outputs

#s(literal 1 binary64)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
50.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (.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 (-.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))

Outputs

#s(literal 1 binary64)

(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.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)))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
48.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -27.2b remaining (-79.2%)

Threshold costs -27.2b (-79.2%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.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)))

Outputs
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
46.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch108.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
104.0ms	-1.4948851439813732e-304	1.633737260853767e-306

Results

85.0ms	96×	2	valid
13.0ms	48×	1	valid

Compiler

Compiled 105 to 83 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-exp: 61.0ms (69.9% of total)

ival-fmod: 12.0ms (13.7% of total)

backward-pass: 4.0ms (4.6% of total)

ival-cos: 3.0ms (3.4% of total)

ival-sqrt: 3.0ms (3.4% of total)

ival-mult: 2.0ms (2.3% of total)

ival-neg: 1.0ms (1.1% of total)

const: 0.0ms (0% of total)

bsearch7.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	-2.5032628100116573e-12	-6.4354075595132974e-18

Results

5.0ms

48×

valid

Compiler

Compiled 42 to 35 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (29.3% of total)

ival-fmod: 1.0ms (29.3% of total)

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

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

const: 0.0ms (0% of total)

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

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

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

bsearch40.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
39.0ms	8.482000412655701e-5	1.667406289712564e+32

Results

34.0ms	101×	0	invalid
2.0ms	16×	0	valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

Precisions

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

ival-cos: 4.0ms (41% of total)

ival-exp: 2.0ms (20.5% of total)

ival-fmod: 2.0ms (20.5% of total)

ival-mult: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

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

bsearch41.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	predicate-failed

Steps

Time	Left	Right
18.0ms	2.234675458290091e+75	2.0919045782827305e+77
22.0ms	3.6084587633367866e+50	3.463797975163067e+55

Results

29.0ms	202×	0	invalid
4.0ms	32×	0	valid

Compiler

Compiled 131 to 59 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 15.0ms (58.9% of total)

ival-fmod: 4.0ms (15.7% of total)

ival-exp: 3.0ms (11.8% of total)

ival-sqrt: 2.0ms (7.9% of total)

ival-mult: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
17.0ms	7.456182444928659e+98	3.611554560728767e+120

Results

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

Precisions

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

ival-cos: 5.0ms (47.4% of total)

ival-fmod: 2.0ms (19% of total)

ival-exp: 1.0ms (9.5% of total)

ival-mult: 1.0ms (9.5% of total)

ival-sqrt: 1.0ms (9.5% of total)

ival-neg: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
22×	`*-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-mul-1_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	126
1	74	126
2	90	126
3	100	126
4	102	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2028240960365167/20282409603651670423947251286016 binary64)) #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 499999999999999996610474337180813988230854220972032 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 40000000000000001882405379836218783566238405631466523057114838139592998125568 binary64)) (.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 x #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.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))))))
#s(literal 1 binary64)

Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2028240960365167/20282409603651670423947251286016 binary64)) #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(if (<=.f64 x #s(literal 7378697629483821/73786976294838206464 binary64)) #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 499999999999999996610474337180813988230854220972032 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 40000000000000001882405379836218783566238405631466523057114838139592998125568 binary64)) (.f64 (/.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 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 x #s(literal 499999999999999996610474337180813988230854220972032 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 40000000000000001882405379836218783566238405631466523057114838139592998125568 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.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 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.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)))))))
(if (<=.f64 x #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.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))))))
#s(literal 1 binary64)

soundness1.4s (6.8%)

Rules

4222×	`-lowering-.f32`
4222×	`-lowering-.f64`
4004×	`-lowering-.f32`
4004×	`-lowering-.f64`
3026×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	120
1	117	109
2	796	108
0	8171	108
0	78	395
1	228	360
2	769	347
3	3498	334
0	8360	334
0	6	22
1	16	22
2	63	22
3	255	22
0	1335	22
0	8	10
1	15	10
2	26	9
3	32	9
4	41	9
5	47	9
6	55	9
7	64	9
8	65	9
0	65	9
0	203	1870
1	609	1567
2	1656	1425
3	6575	1425
0	8392	1425
0	168	1610
1	535	1471
2	1839	1382
3	7906	1382
0	8062	1382

Stop Event

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

Compiler

Compiled 498 to 316 computations (36.5% saved)

preprocess42.0ms (0.2%)

Compiler: Compiled 278 to 108 computations (61.2% 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

analyze255.0ms (1.3%)

sample7.4s (36.7%)

preprocess134.0ms (0.7%)

explain561.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize266.0ms (1.3%)

series4.0ms (0%)

rewrite121.0ms (0.6%)

simplify200.0ms (1%)

eval22.0ms (0.1%)

prune112.0ms (0.6%)

simplify277.0ms (1.4%)

localize1.2s (6.1%)

series132.0ms (0.7%)

rewrite274.0ms (1.4%)

simplify212.0ms (1%)

eval92.0ms (0.5%)

prune89.0ms (0.4%)

simplify124.0ms (0.6%)

localize842.0ms (4.1%)

series132.0ms (0.7%)

rewrite3.8s (18.9%)

simplify266.0ms (1.3%)

eval83.0ms (0.4%)

prune112.0ms (0.6%)

simplify147.0ms (0.7%)

localize737.0ms (3.6%)

series12.0ms (0.1%)

rewrite291.0ms (1.4%)

simplify323.0ms (1.6%)

eval90.0ms (0.4%)

prune149.0ms (0.7%)

regimes43.0ms (0.2%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes9.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch108.0ms (0.5%)

bsearch7.0ms (0%)

bsearch40.0ms (0.2%)

bsearch41.0ms (0.2%)

bsearch19.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.4s (6.8%)

preprocess42.0ms (0.2%)

end0.0ms (0%)

Profiling

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