Metrics for expfmod (used to be hard to sample)

analyze328.0ms (1.8%)

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: 224.0ms

ival-fmod: 62.0ms (27.7% of total)

ival-cos: 56.0ms (25% of total)

ival-exp: 46.0ms (20.6% of total)

ival-neg: 27.0ms (12.1% of total)

ival-mult: 16.0ms (7.2% of total)

ival-sqrt: 13.0ms (5.8% of total)

const: 2.0ms (0.9% of total)

backward-pass: 1.0ms (0.4% of total)

sample7.3s (40.5%)

Results

4.1s	1646×	5	exit
1.3s	4785×	1	valid
616.0ms	1376×	2	valid
380.0ms	3260×	0	invalid
230.0ms	2095×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.0s

ival-cos: 3.3s (55.7% of total)

ival-fmod: 900.0ms (15.1% of total)

ival-exp: 684.0ms (11.5% of total)

ival-sqrt: 498.0ms (8.3% of total)

backward-pass: 234.0ms (3.9% of total)

ival-mult: 180.0ms (3% of total)

ival-neg: 136.0ms (2.3% of total)

const: 12.0ms (0.2% of total)

Bogosity

preprocess24.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain854.0ms (4.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
195	0	-	195	(6.177265161755135e-166)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
0	0	-	0	-	`x`
0	1	(-290.24152824789945)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sqrt.f64 (cos.f64 x))`

Results

604.0ms	104×	5	exit
166.0ms	300×	1	valid
38.0ms	84×	2	valid
3.0ms	24×	0	valid

Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 669.0ms

ival-cos: 284.0ms (42.4% of total)

ival-exp: 135.0ms (20.2% of total)

ival-sqrt: 131.0ms (19.6% of total)

ival-fmod: 77.0ms (11.5% of total)

backward-pass: 20.0ms (3% of total)

ival-neg: 12.0ms (1.8% of total)

ival-mult: 9.0ms (1.3% of total)

const: 1.0ms (0.1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.3%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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))) (exp.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	64	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
8×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	16	53
2	27	51
3	32	51
4	41	51
5	47	51
6	55	51
7	64	51
8	65	51
0	65	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(exp (neg x))
(neg x)
(/ (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 (neg 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)
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 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)))
(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)

localize301.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	27.6%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	27.6%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Results

174.0ms	52×	5	exit
76.0ms	150×	1	valid
24.0ms	42×	2	valid
2.0ms	12×	0	valid

Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-cos: 125.0ms (53.1% of total)

ival-fmod: 44.0ms (18.7% of total)

ival-exp: 23.0ms (9.8% of total)

ival-sqrt: 19.0ms (8.1% of total)

backward-pass: 12.0ms (5.1% of total)

ival-div: 5.0ms (2.1% of total)

ival-mult: 5.0ms (2.1% of total)

ival-neg: 2.0ms (0.8% of total)

const: 0.0ms (0% of total)

series5.0ms (0%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (exp x)>
#<alt (sqrt (cos x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp 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 (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 (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 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 (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (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

18 calls:

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

rewrite152.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`-lowering-.f32`
1042×	`-lowering-.f64`
1008×	`/-lowering-/.f32`
1008×	`/-lowering-/.f64`
328×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	23	31
2	85	31
3	406	31
0	3030	31

Stop Event

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

Counts

6 → 192

Calls

Call 1

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

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2200×	`-lowering-.f32`
2200×	`-lowering-.f64`
1946×	`fmsub-define`
1928×	`fma-lowering-fma.f32`
1928×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	557
1	285	507
2	929	481
3	4019	471
0	8490	471

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

eval51.0ms (0.3%)

Compiler: Compiled 6626 to 580 computations (91.2% saved)

prune61.0ms (0.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	407	14	421
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	407	16	423

Accuracy

27.9%

Counts

423 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
▶	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.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))))
▶	6.9%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
✓	7.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	23.9%	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.2%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
▶	7.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
✓	7.3%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.2%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	7.3%	(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))

Compiler

Compiled 531 to 360 computations (32.2% saved)

simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	192	(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
✓	cost-diff	6912	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
✓	cost-diff	6976	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	cost-diff	-64	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	-64	(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(cos.f64 x)

Rules

2116×	`sum3-define`
2092×	`fnmadd-define`
1648×	`sum5-define`
1166×	`-lowering-.f32`
1166×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	265
1	83	245
2	227	243
3	617	243
4	2243	243
5	4591	243
0	8064	243

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
1
(sqrt (cos x))
(cos x)
x
(exp x)
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
x
1
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
1
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(exp x)
x
(fmod (exp x) (pow (cos x) 1/2))
(pow (cos x) 1/2)
(cos x)
1/2
(/ (fmod (exp x) (sqrt (cos x))) (/ (neg (- 0 (exp (* x 3)))) (exp (+ x x))))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(/ (neg (- 0 (exp (* x 3)))) (exp (+ x x)))
(neg (- 0 (exp (* x 3))))
(- 0 (exp (* x 3)))
0
(exp (* x 3))
(* x 3)
3
(exp (+ x x))
(+ x x)

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

localize619.0ms (3.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
✓	accuracy	99.6%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
✓	accuracy	28.7%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
✓	accuracy	28.7%	(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -19/5760 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
✓	accuracy	28.7%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	28.7%	(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	65.0%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Results

256.0ms	159×	1	valid
205.0ms	38×	2	valid
35.0ms	3×	5	exit
31.0ms	52×	0	unsamplable
13.0ms	1×	4	valid
2.0ms	3×	0	valid

Compiler

Compiled 291 to 39 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 458.0ms

ival-pow: 187.0ms (40.8% of total)

ival-fmod: 80.0ms (17.5% of total)

ival-add: 40.0ms (8.7% of total)

ival-cos: 24.0ms (5.2% of total)

backward-pass: 24.0ms (5.2% of total)

ival-exp: 23.0ms (5% of total)

...c/correct-round.rkt:119:19: 23.0ms (5% of total)

ival-mult: 23.0ms (5% of total)

ival-div: 20.0ms (4.4% of total)

ival-sqrt: 8.0ms (1.7% of total)

const: 2.0ms (0.4% of total)

ival-sub: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

series22.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (cos x)>
#<alt (exp x)>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (exp x) 1)>
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))>
#<alt (/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))>
#<alt (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))>
#<alt (fmod (exp x) (pow (cos x) 1/2))>
#<alt (/ (neg (- 0 (exp (* x 3)))) (exp (+ x x)))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (/ (neg (- 0 (exp (* x 3)))) (exp (+ x x))))>
#<alt (neg (- 0 (exp (* x 3))))>
#<alt (sqrt (cos x))>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* (* x x) -19/5760)>
#<alt (* x (* x (+ -1/96 (* (* x x) -19/5760))))>
#<alt (pow (cos x) 1/2)>
#<alt (fmod (exp x) (sqrt (cos x)))>

Outputs
#<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 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 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 (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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (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 (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 4/3 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))) (+ (* 9/2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 9/2 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt 1>
#<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 (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (fmod 1 (sqrt (cos x))) (exp x))
2.0ms	x	@	inf	(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1.0ms	x	@	-inf	(/ (fmod (exp x) (sqrt (cos x))) (/ (neg (- 0 (exp (* x 3)))) (exp (+ x x))))
1.0ms	x	@	0	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
1.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))

rewrite397.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
3904×	`/-lowering-/.f32`
3904×	`/-lowering-/.f64`
1692×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	183
1	196	166
2	1403	161
0	8395	161

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 646

Calls

Call 1

Inputs
(cos x)
(exp x)
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(fmod (exp x) (pow (cos x) 1/2))
(/ (neg (- 0 (exp (* x 3)))) (exp (+ x x)))
(/ (fmod (exp x) (sqrt (cos x))) (/ (neg (- 0 (exp (* x 3)))) (exp (+ x x))))
(neg (- 0 (exp (* x 3))))
(sqrt (cos x))
(* x (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(pow (cos x) 1/2)
(fmod (exp x) (sqrt (cos x)))

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

simplify231.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2618×	`+-lowering-+.f64`
2618×	`+-lowering-+.f32`
2518×	`-lowering-.f32`
2518×	`-lowering-.f64`
1556×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	2609
1	888	2436
2	3295	2259
0	9127	2259

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
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)
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 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)))
(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)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(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 (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(fmod (exp x) (sqrt (cos x)))
(+ (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 4/3 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))) (+ (* 9/2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 9/2 x))))
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -1/96 (pow x 2))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
1
(+ 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))
(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 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.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)
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 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
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(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))
(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)))

eval195.0ms (1.1%)

Compiler: Compiled 24416 to 2470 computations (89.9% saved)

prune166.0ms (0.9%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1022	18	1040
Fresh	3	6	9
Picked	3	2	5
Done	0	2	2
Total	1028	28	1056

Accuracy

28.2%

Counts

1056 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	4.3%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
	7.2%	(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	12.4%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 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))))) #s(literal 1 binary64)) (exp.f64 x))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
	6.7%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
▶	6.5%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
✓	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	1.3%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) (exp.f64 x))
	1.1%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (exp.f64 x))
▶	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 (+.f64 x x))))
▶	6.9%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
✓	7.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.3%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	7.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	23.8%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
	7.2%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
	7.0%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
✓	7.3%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.3%	(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
	7.2%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	7.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 933 to 619 computations (33.7% saved)

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	6784	(/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
✓	cost-diff	6784	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
✓	cost-diff	0	(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))

Rules

3134×	`-lowering-.f32`
3134×	`-lowering-.f64`
1948×	`+-lowering-+.f64`
1948×	`+-lowering-+.f32`
1146×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	269
1	85	241
2	224	241
3	903	241
0	8670	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize451.0ms (2.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
✓	accuracy	99.6%	(/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
✓	accuracy	27.6%	(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) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
✓	accuracy	99.9%	(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
✓	accuracy	23.9%	(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -19/5760 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
✓	accuracy	27.6%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	27.6%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	100.0%	(exp.f64 x)

Results

213.0ms	161×	1	valid
134.0ms	41×	2	valid
29.0ms	52×	0	unsamplable
4.0ms	1×	4	valid
1.0ms	1×	0	valid

Compiler

Compiled 279 to 40 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-fmod: 90.0ms (30.5% of total)

ival-exp: 70.0ms (23.8% of total)

ival-mult: 30.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 29.0ms (9.8% of total)

backward-pass: 20.0ms (6.8% of total)

ival-div: 15.0ms (5.1% of total)

ival-add: 14.0ms (4.8% of total)

ival-pow: 10.0ms (3.4% of total)

ival-cos: 10.0ms (3.4% of total)

ival-sqrt: 4.0ms (1.4% of total)

const: 2.0ms (0.7% of total)

series13.0ms (0.1%)

Counts

17 → 192

Calls

Call 1

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

Outputs
#<alt (fmod 1 1)>
#<alt (+ (* -1 (* x (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (+ (* -1 (* x (fmod (exp x) (* -19/5760 (pow x 6))))) (fmod (exp x) (* -19/5760 (pow x 6))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/2 (fmod (exp x) (* -19/5760 (pow x 6))))))) (fmod (exp x) (* -19/5760 (pow x 6))))) (fmod (exp x) (* -19/5760 (pow x 6))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/2 (fmod (exp x) (* -19/5760 (pow x 6)))))) (+ (* -1/2 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/6 (fmod (exp x) (* -19/5760 (pow x 6)))))))) (+ (* -1 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/2 (fmod (exp x) (* -19/5760 (pow x 6))))))) (fmod (exp x) (* -19/5760 (pow x 6))))) (fmod (exp x) (* -19/5760 (pow x 6))))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (fmod (exp x) (* -19/5760 (pow x 6)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -19/5760 (pow x 6))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 4/3 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))) (+ (* 9/2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))>
#<alt (/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 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 (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (* 2 x)))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 x))))>
#<alt (/ (exp (* 3 x)) (exp (neg (* -2 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 (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt 1>
#<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
4.0ms	x	@	inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
1.0ms	x	@	-inf	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
1.0ms	x	@	0	(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
0.0ms	x	@	0	(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
0.0ms	x	@	-inf	(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))

rewrite128.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`-lowering-.f32`
790×	`-lowering-.f64`
538×	`/-lowering-/.f32`
538×	`/-lowering-/.f64`
382×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	163
1	192	144
0	1563	144

Stop Event

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

Counts

17 → 154

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (exp.f64 (.f64 x #s(literal 3 binary64))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
(+.f64 (.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))))))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.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))))))))))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) #s(literal 1 binary64))
(fma.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)))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (-.f64 (.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))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.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)))))))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.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)))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.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)))))))) #s(literal 1 binary64)) (-.f64 (.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))))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))) (-.f64 (.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))))))) #s(literal 1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
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(/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (exp.f64 x))
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(/.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) (exp.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -19/5760 binary64))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (exp.f64 (.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) (exp.f64 x))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (exp.f64 (.f64 x #s(literal 3 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x #s(literal -1/96 binary64)))
(fma.f64 x #s(literal -1/96 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(fma.f64 #s(literal -1/96 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1/96 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))) (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -6859/191102976000 binary64)))) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64)))) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -6859/191102976000 binary64))) x) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64))) x) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))) x)
(.f64 x (.f64 x #s(literal -19/5760 binary64)))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(.f64 #s(literal -19/5760 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -19/5760 binary64)) x)
(+.f64 (.f64 x (.f64 x #s(literal -1/96 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 (.f64 x x) #s(literal -1/96 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) x))
(+.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (.f64 x x)) (.f64 #s(literal -1/96 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -6859/191102976000 binary64)))) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64)))) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))

simplify224.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2674×	`-lowering-.f32`
2674×	`-lowering-.f64`
1664×	`sum4-define`
1552×	`+-lowering-+.f64`
1552×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	2657
1	832	2433
2	3087	2103
0	9459	2103

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(fmod 1 1)
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(+ (* -1 (* x (fmod (exp x) (* -19/5760 (pow x 6))))) (fmod (exp x) (* -19/5760 (pow x 6))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/2 (fmod (exp x) (* -19/5760 (pow x 6))))))) (fmod (exp x) (* -19/5760 (pow x 6))))) (fmod (exp x) (* -19/5760 (pow x 6))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/2 (fmod (exp x) (* -19/5760 (pow x 6)))))) (+ (* -1/2 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/6 (fmod (exp x) (* -19/5760 (pow x 6)))))))) (+ (* -1 (fmod (exp x) (* -19/5760 (pow x 6)))) (* 1/2 (fmod (exp x) (* -19/5760 (pow x 6))))))) (fmod (exp x) (* -19/5760 (pow x 6))))) (fmod (exp x) (* -19/5760 (pow x 6))))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod (exp x) (* -19/5760 (pow x 6)))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(* -19/5760 (pow x 6))
(fmod (exp x) (sqrt (cos x)))
(+ (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 4/3 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))) (+ (* 9/2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (* 2 x)))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(/ (exp (* 3 x)) (exp (neg (* -2 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)))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -1/96 (pow x 2))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
1
(+ 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 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+.f64 (.f64 x (.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (.f64 x (*.f64 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))) (.f64 x (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
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(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
(/ (fmod (exp x) (* -19/5760 (pow x 6))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
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(fmod (exp x) (* -19/5760 (pow x 6)))
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(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
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(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(fmod (exp x) (* -19/5760 (pow x 6)))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (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 #s(literal 0 binary64) x)))
(+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(+ (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 4/3 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))) (+ (* 9/2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* 3 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (* 9/2 (fmod (exp x) (sqrt (cos x)))))))) (* 3 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (.f64 x (+.f64 (-.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 4/3 binary64)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 0 binary64))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3/2 binary64))) #s(literal -3 binary64)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3/2 binary64))))) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (* 2 x)) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/ (* (exp (neg (* -2 x))) (fmod (exp x) (sqrt (cos x)))) (exp (* 3 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 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 (* 3 x)) (exp (* 2 x)))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (* 2 x)))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (* 2 x)))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (* 2 x)))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (neg (* -2 x))))
(exp.f64 x)
(/ (exp (* 3 x)) (exp (neg (* -2 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)))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* -19/5760 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -19/5760 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -1/96 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* -19/5760 (pow x 4))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -19/5760 (pow x 4))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 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))

eval61.0ms (0.3%)

Compiler: Compiled 10841 to 872 computations (92% saved)

prune90.0ms (0.5%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	466	15	481
Fresh	10	9	19
Picked	4	1	5
Done	1	3	4
Total	481	28	509

Accuracy

28.2%

Counts

509 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fmod.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
	16.5%	(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))
▶	25.1%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	0.6%	(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))))
▶	23.8%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	7.2%	(/.f64 (fmod.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
	6.7%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	7.3%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	16.5%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
▶	6.7%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
✓	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
▶	0.7%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -19/5760 binary64))) (exp.f64 x))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 x x)))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 (+.f64 x x))))
✓	6.9%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
✓	7.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.2%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
	6.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))
	1.0%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
✓	7.3%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.2%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
▶	7.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1156 to 720 computations (37.7% saved)

simplify256.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
✓	cost-diff	5824	(pow.f64 x #s(literal 6 binary64))
✓	cost-diff	6080	(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
✓	cost-diff	6080	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x)))))
✓	cost-diff	6080	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Rules

2880×	`-lowering-.f32`
2880×	`-lowering-.f64`
2136×	`fma-define`
2120×	`fma-lowering-fma.f32`
2120×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	44	355
1	110	320
2	291	319
3	754	319
4	1644	318
5	2514	318
6	2888	315
7	3513	315
8	4353	315
9	5119	315
10	6616	315
0	8139	315

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize3.0s (16.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	accuracy	96.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
✓	accuracy	27.6%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	99.8%	(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
✓	accuracy	52.3%	(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))
✓	accuracy	25.5%	(fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -19/5760 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	27.6%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	27.6%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

2.2s	111×	1	valid
288.0ms	52×	5	exit
205.0ms	39×	3	valid
141.0ms	52×	2	valid
13.0ms	1×	4	valid
1.0ms	1×	0	valid

Compiler

Compiled 359 to 45 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-mult: 2.1s (78.8% of total)

ival-fmod: 144.0ms (5.4% of total)

ival-log: 104.0ms (3.9% of total)

backward-pass: 85.0ms (3.2% of total)

...c/correct-round.rkt:119:19: 76.0ms (2.9% of total)

ival-add: 59.0ms (2.2% of total)

ival-exp: 48.0ms (1.8% of total)

ival-div: 28.0ms (1.1% of total)

ival-pow: 16.0ms (0.6% of total)

const: 3.0ms (0.1% of total)

series88.0ms (0.5%)

Counts

20 → 228

Calls

Call 1

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

Calls

57 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(* (log (/ (exp x) (fmod (exp x) 1))) -1)
18.0ms	x	@	-inf	(* (log (/ (exp x) (fmod (exp x) 1))) -1)
17.0ms	x	@	0	(* (log (/ (exp x) (fmod (exp x) 1))) -1)
4.0ms	x	@	0	(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (+ 1 (* x (+ 1 (* x 1/2)))))
2.0ms	x	@	-inf	(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (+ 1 (* x (+ 1 (* x 1/2)))))

rewrite318.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2826×	`/-lowering-/.f32`
2826×	`/-lowering-/.f64`
2762×	`-lowering-.f32`
2762×	`-lowering-.f64`
2276×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	202
1	266	179
2	2392	178
0	8457	178

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 303

Calls

Call 1

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

Outputs
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.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))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) #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 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.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))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (+.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 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) #s(literal -1 binary64)))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))
(+.f64 (.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)))))) #s(literal 1 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
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(fma.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) x (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -19/5760 binary64) (*.f64 x #s(literal -1/96 binary64)))
(fma.f64 (.f64 x #s(literal -19/5760 binary64)) (.f64 x x) (*.f64 x #s(literal -1/96 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -6859/191102976000 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))) (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -6859/191102976000 binary64)))) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -6859/191102976000 binary64))) x) (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -6859/191102976000 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -6859/191102976000 binary64))))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/884736 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -6859/191102976000 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal -1/96 binary64) (.f64 #s(literal 19/5760 binary64) (*.f64 x x)))))
(.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(.f64 (+.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64))) x)
(.f64 x (.f64 x #s(literal -19/5760 binary64)))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(.f64 #s(literal -19/5760 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -19/5760 binary64)) x)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal -1/96 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/96 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/96 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/.f64 #s(literal -1/96 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/96 binary64) x))))
(/.f64 #s(literal 1/96 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/96 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1/96 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1/96 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/96 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/96 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x)))
(.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/96 binary64))
(*.f64 (/.f64 #s(literal -1/96 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/96 binary64) x))
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))

simplify266.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2856×	`-lowering-.f32`
2856×	`-lowering-.f64`
1764×	`sum4-define`
1696×	`+-lowering-+.f64`
1696×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	3276
1	1002	3051
2	3722	3003
0	8056	3003

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3)))
(/ (+ (* -18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (+ (* -3 (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (pow x 3))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 3))
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* 18 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)))) (+ (* -36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* 18 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x))) (pow x 3)))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))) (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))
(* 2 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x)) (* 2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 4 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (pow x 2))) (* 2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (* 4 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* -2 (+ (* -8 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 4 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (pow x 3))) (* 2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (+ (* -8 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x)) (* 4 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (pow x 2)))))) (pow x 2))
(* 2 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x)) (* 2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x)) (* 4 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x))) (* -4 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) x)) (* 2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 4 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) x)) (* 8 (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) x))) (+ (* -8 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 4 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))) x)) (* -4 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) x)) (* 2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (pow x 2))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(* -1/96 (pow x 4))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(fmod (exp x) 1)
(+ (* -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))
(* -1 (log (/ 1 (fmod (exp x) 1))))
(+ (* -1 x) (* -1 (log (/ 1 (fmod (exp x) 1)))))
(+ (* -1 x) (* -1 (log (/ 1 (fmod (exp x) 1)))))
(+ (* -1 x) (* -1 (log (/ 1 (fmod (exp x) 1)))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(* -1 (log (/ (exp x) (fmod (exp x) 1))))
(log (/ 1 (fmod (exp x) 1)))
(+ x (log (/ 1 (fmod (exp x) 1))))
(+ x (log (/ 1 (fmod (exp x) 1))))
(+ x (log (/ 1 (fmod (exp x) 1))))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(log (/ (exp x) (fmod (exp x) 1)))
(/ 1 (fmod (exp x) 1))
(+ (/ 1 (fmod (exp x) 1)) (/ x (fmod (exp x) 1)))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) 1))) (/ 1 (fmod (exp x) 1)))) (/ 1 (fmod (exp x) 1)))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) 1))) (* 1/2 (/ 1 (fmod (exp x) 1))))) (/ 1 (fmod (exp x) 1)))) (/ 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))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(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)

Outputs
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64))))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))) (.f64 x (-.f64 (.f64 x (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))) #s(literal -1/3 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) #s(literal -1/4 binary64)))))))))
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (.f64 x (.f64 x #s(literal 19/5760 binary64)))))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 6 binary64) (.f64 x (*.f64 x x))))
(/ (+ (* -18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (.f64 x (.f64 x #s(literal 19/5760 binary64)))))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (.f64 x (.f64 x #s(literal 19/5760 binary64)))))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) #s(literal -18 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 6 binary64) (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (.f64 x (.f64 x #s(literal 19/5760 binary64)))))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (.f64 x (.f64 x #s(literal 19/5760 binary64)))))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal -18 binary64) (.f64 x x)))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (.f64 x (.f64 x #s(literal 19/5760 binary64)))))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 18 binary64) x))) (.f64 x (.f64 x x)))
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(log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(log (/ (exp x) (fmod (exp x) 1)))
(log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/ 1 (fmod (exp x) 1))
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (/ 1 (fmod (exp x) 1)) (/ x (fmod (exp x) 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) 1))) (/ 1 (fmod (exp x) 1)))) (/ 1 (fmod (exp x) 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) 1))) (* 1/2 (/ 1 (fmod (exp x) 1))))) (/ 1 (fmod (exp x) 1)))) (/ 1 (fmod (exp x) 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 (*.f64 x #s(literal 1/6 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (exp x) (fmod (exp x) 1))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(* -19/5760 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -19/5760 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(.f64 (.f64 x x) #s(literal -19/5760 binary64))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x 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))

eval106.0ms (0.6%)

Compiler: Compiled 17590 to 1612 computations (90.8% saved)

prune84.0ms (0.5%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	561	15	576
Fresh	8	11	19
Picked	3	2	5
Done	0	4	4
Total	572	32	604

Accuracy

68.7%

Counts

604 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fmod.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
	16.5%	(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))
✓	25.1%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	63.3%	(fmod.f64 x #s(literal 1 binary64))
✓	23.8%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	7.2%	(/.f64 (fmod.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
	7.2%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
	6.7%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	7.3%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	21.0%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
	16.5%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	0.7%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal -19/5760 binary64)) (/.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	6.7%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
✓	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
	6.7%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	0.7%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	1.0%	(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/96 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
✓	6.9%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
✓	7.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	11.2%	(/.f64 (fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	1.3%	(/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))))))) (/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) #s(literal -8 binary64)) (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) #s(literal 8 binary64))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) x))))) (.f64 x x))
	1.3%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))))))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) x) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))))) x)) (*.f64 x x))
	0.6%	(/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (/.f64 #s(literal -4 binary64) x)) (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))))) (*.f64 x x))
	1.0%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (/.f64 #s(literal 2 binary64) (.f64 x x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
✓	7.3%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 2446 to 784 computations (67.9% saved)

regimes50.0ms (0.3%)

Counts

64 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/96 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (.f64 (+.f64 #s(literal -6859/191102976000 binary64) (/.f64 #s(literal -1/884736 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal -19/5760 binary64)) (/.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 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) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (.f64 x (.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -19/5760 binary64))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (.f64 #s(literal -19/5760 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/96 binary64) (.f64 x (.f64 x #s(literal -19/5760 binary64)))))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
(fmod.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (/.f64 #s(literal -4 binary64) x)) (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))))) (*.f64 x x))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.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 (fmod.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))))))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) x) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))))) x)) (*.f64 x x))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))))))) (/.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) #s(literal -8 binary64)) (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) #s(literal 8 binary64))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x)))))) x))))) (.f64 x x))

Outputs

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

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

Calls

2 calls:

28.0ms	x
18.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
66.6%	2	`x`
67.8%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes6.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
23.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch65.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	-3.569275261552455e-308	3.349178296840994e-307

Results

44.0ms	80×	2	valid
12.0ms	32×	1	valid

Compiler

Compiled 337 to 186 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-exp: 30.0ms (60.1% of total)

ival-fmod: 9.0ms (18% of total)

ival-sqrt: 3.0ms (6% of total)

backward-pass: 3.0ms (6% of total)

ival-mult: 2.0ms (4% of total)

ival-cos: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

const: 0.0ms (0% of total)

bsearch58.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	-3.569275261552455e-308	3.349178296840994e-307

Results

41.0ms	80×	2	valid
8.0ms	32×	1	valid

Compiler

Compiled 323 to 214 computations (33.7% saved)

Precisions

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

ival-exp: 22.0ms (52.6% of total)

ival-fmod: 7.0ms (16.7% of total)

backward-pass: 4.0ms (9.6% of total)

ival-cos: 3.0ms (7.2% of total)

ival-sqrt: 3.0ms (7.2% of total)

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

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

const: 0.0ms (0% of total)

bsearch74.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	-3.569275261552455e-308	3.349178296840994e-307

Results

38.0ms	80×	2	valid
27.0ms	32×	1	valid

Compiler

Compiled 295 to 193 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 21.0ms (36.3% of total)

ival-sqrt: 21.0ms (36.3% of total)

ival-fmod: 7.0ms (12.1% of total)

backward-pass: 3.0ms (5.2% of total)

ival-mult: 2.0ms (3.5% of total)

ival-cos: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.7% of total)

const: 0.0ms (0% of total)

bsearch57.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	-3.569275261552455e-308	3.349178296840994e-307

Results

42.0ms	80×	2	valid
8.0ms	32×	1	valid

Compiler

Compiled 141 to 102 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-exp: 23.0ms (53.8% of total)

ival-fmod: 10.0ms (23.4% of total)

ival-cos: 3.0ms (7% of total)

ival-sqrt: 3.0ms (7% of total)

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

backward-pass: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.3% of total)

const: 0.0ms (0% of total)

bsearch55.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-3.569275261552455e-308	3.349178296840994e-307

Results

39.0ms	80×	2	valid
8.0ms	32×	1	valid

Compiler

Compiled 99 to 74 computations (25.3% saved)

Precisions

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

ival-exp: 21.0ms (53.7% of total)

ival-fmod: 8.0ms (20.5% of total)

ival-sqrt: 3.0ms (7.7% of total)

ival-mult: 2.0ms (5.1% of total)

ival-cos: 2.0ms (5.1% of total)

backward-pass: 2.0ms (5.1% of total)

ival-neg: 1.0ms (2.6% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	166
1	63	166

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.3s (7.4%)

Rules

2856×	`-lowering-.f32`
2856×	`-lowering-.f64`
2674×	`-lowering-.f32`
2674×	`-lowering-.f64`
2618×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	3276
1	1002	3051
2	3722	3003
0	8056	3003
0	263	2609
1	888	2436
2	3295	2259
0	9127	2259
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	95	557
1	285	507
2	929	481
3	4019	471
0	8490	471
0	248	2657
1	832	2433
2	3087	2103
0	9459	2103

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 781 to 432 computations (44.7% saved)

preprocess72.0ms (0.4%)

Compiler: Compiled 356 to 100 computations (71.9% 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

analyze328.0ms (1.8%)

sample7.3s (40.5%)

preprocess24.0ms (0.1%)

explain854.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize301.0ms (1.7%)

series5.0ms (0%)

rewrite152.0ms (0.8%)

simplify174.0ms (1%)

eval51.0ms (0.3%)

prune61.0ms (0.3%)

simplify127.0ms (0.7%)

localize619.0ms (3.4%)

series22.0ms (0.1%)

rewrite397.0ms (2.2%)

simplify231.0ms (1.3%)

eval195.0ms (1.1%)

prune166.0ms (0.9%)

simplify166.0ms (0.9%)

localize451.0ms (2.5%)

series13.0ms (0.1%)

rewrite128.0ms (0.7%)

simplify224.0ms (1.2%)

eval61.0ms (0.3%)

prune90.0ms (0.5%)

simplify256.0ms (1.4%)

localize3.0s (16.6%)

series88.0ms (0.5%)

rewrite318.0ms (1.8%)

simplify266.0ms (1.5%)

eval106.0ms (0.6%)

prune84.0ms (0.5%)

regimes50.0ms (0.3%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch65.0ms (0.4%)

bsearch58.0ms (0.3%)

bsearch74.0ms (0.4%)

bsearch57.0ms (0.3%)

bsearch55.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.3s (7.4%)

preprocess72.0ms (0.4%)

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