Metrics for expfmod (used to be hard to sample)

analyze198.0ms (1.5%)

Memory

-27.9MiB live, 380.9MiB allocated

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 10 computations (16.7% saved)

sample5.1s (39.5%)

Memory

55.4MiB live, 5 732.5MiB allocated

Samples

1.6s	1 622×	5	exit
1.4s	2 660×	2	valid
906.0ms	3 607×	1	valid
392.0ms	3 322×	0	invalid
208.0ms	1 989×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-cos: 1.4s (32.9% of total)

ival-exp: 947.0ms (23% of total)

ival-fmod: 943.0ms (22.9% of total)

ival-sqrt: 379.0ms (9.2% of total)

adjust: 248.0ms (6% of total)

ival-mult: 140.0ms (3.4% of total)

ival-neg: 90.0ms (2.2% of total)

ival-true: 10.0ms (0.2% of total)

ival-assert: 6.0ms (0.1% of total)

Bogosity

preprocess17.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

2×	egg-herbie

Rules

32×	`sub-neg`
30×	`times-frac`
28×	`div-sub`
24×	`-lowering-.f32`
24×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	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 (exp (neg x)) (sqrt (cos x))) (exp x))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))
(* (fmod (exp (neg x)) (sqrt (cos x))) (neg (exp x)))

explain213.0ms (1.7%)

Memory

-2.3MiB live, 226.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
207	0	-	207	(7.02656137435097e-37)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
0	0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(exp.f64 x)`
0	1	(118.72459169369974)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	251
-	0	4

Precision

1.0

Recall

0.003968253968253968

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	251
-	0	0	4

Precision?

1.0

Recall?

0.003968253968253968

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

75.0ms	164×	2	valid
52.0ms	236×	1	valid
12.0ms	90×	1	exit
2.0ms	22×	0	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-fmod: 38.0ms (32.3% of total)

ival-exp: 36.0ms (30.6% of total)

ival-cos: 19.0ms (16.2% of total)

ival-sqrt: 9.0ms (7.7% of total)

adjust: 8.0ms (6.8% of total)

ival-mult: 5.0ms (4.3% of total)

ival-neg: 2.0ms (1.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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	128	(*.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×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	15	29
2	25	28
3	31	28
4	36	28
5	42	28
6	49	28
7	55	28
8	56	28
0	56	28

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)

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)

localize93.0ms (0.7%)

Memory

-7.2MiB live, 74.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

42.0ms	118×	1	valid
32.0ms	82×	2	valid
6.0ms	45×	1	exit
1.0ms	11×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-exp: 26.0ms (42.3% of total)

ival-fmod: 14.0ms (22.8% of total)

ival-cos: 9.0ms (14.6% of total)

adjust: 4.0ms (6.5% of total)

ival-sqrt: 4.0ms (6.5% of total)

ival-mult: 3.0ms (4.9% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 60

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 (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 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

15 calls:

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

rewrite82.0ms (0.6%)

Memory

9.3MiB live, 83.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

612×	`-lowering-.f32`
612×	`-lowering-.f64`
600×	`/-lowering-/.f32`
600×	`/-lowering-/.f64`
252×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	17	22
2	56	22
3	249	22
0	1987	22

Stop Event

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

Counts

5 → 64

Calls

Call 1

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

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

simplify354.0ms (2.8%)

Memory

10.0MiB live, 418.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 324×	`accelerator-lowering-fma.f32`
13 324×	`accelerator-lowering-fma.f64`
3 658×	`-lowering-.f32`
3 658×	`-lowering-.f64`
2 382×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	401
1	181	380
2	412	368
3	1045	358
4	1890	358
5	3512	358
6	4863	358
7	6196	358
8	7695	358
0	8062	336

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

eval12.0ms (0.1%)

Memory: -21.6MiB live, 17.2MiB allocated
Compiler: Compiled 1 602 to 284 computations (82.3% saved)

prune18.0ms (0.1%)

Memory

-11.5MiB live, 27.6MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	113	11	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	11	125

Accuracy

24.2%

Counts

125 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	23.1%	(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.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 (neg.f64 x)))
▶	6.4%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
▶	5.7%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
▶	5.7%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	21.3%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 328 to 234 computations (28.7% saved)

simplify84.0ms (0.7%)

Memory

32.1MiB live, 70.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))
✓	cost-diff	128	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	128	(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

1 360×	`accelerator-lowering-fma.f32`
1 360×	`accelerator-lowering-fma.f64`
716×	`-lowering-.f32`
716×	`-lowering-.f64`
434×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	185
1	51	185
2	115	182
3	182	182
4	242	182
5	273	182
6	434	182
7	547	182
8	601	182
9	615	182
10	738	182
11	1308	182
12	1457	182
13	1556	182
14	1598	182
15	1606	182
16	1606	182
0	1606	174

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
x
1
(sqrt (cos x))
(cos x)
(exp (neg x))
(neg x)
(* (fmod (exp x) 1) (exp (neg x)))
(fmod (exp x) 1)
(exp x)
x
1
(exp (neg x))
(neg x)
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96)))))) (exp (neg x)))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96)))))
1
(* (* x x) (+ -1/4 (* x (* x -1/96))))
(* x x)
(+ -1/4 (* x (* x -1/96)))
-1/4
(* x (* x -1/96))
(* x -1/96)
-1/96
(exp (neg x))
(neg x)
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(* (fmod (exp x) (sqrt (cos x))) (- 1 x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(- 1 x)
1

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

localize219.0ms (1.7%)

Memory

-23.1MiB live, 208.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -1/96 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/96 binary64))
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64)))))))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	24.5%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))

Samples

77.0ms	82×	2	valid
72.0ms	118×	1	valid
14.0ms	45×	1	exit
3.0ms	11×	0	valid

Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-fmod: 55.0ms (41.7% of total)

ival-mult: 17.0ms (12.9% of total)

ival-exp: 16.0ms (12.1% of total)

adjust: 11.0ms (8.3% of total)

ival-cos: 10.0ms (7.6% of total)

ival-add: 8.0ms (6.1% of total)

ival-sqrt: 4.0ms (3% of total)

const: 4.0ms (3% of total)

ival-sub: 3.0ms (2.3% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series11.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (fmod (exp x) (sqrt (cos x))) (- 1 x))
1.0ms	x	@	inf	(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96)))))) (exp (neg x)))
1.0ms	x	@	inf	(+ x 1)
0.0ms	x	@	-inf	(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96)))))) (exp (neg x)))
0.0ms	x	@	0	(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))

rewrite347.0ms (2.7%)

Memory

24.8MiB live, 375.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 974×	`accelerator-lowering-fma.f32`
6 974×	`accelerator-lowering-fma.f64`
4 640×	`-lowering-.f32`
4 640×	`-lowering-.f64`
2 946×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	127
1	99	124
2	705	124
3	7534	124
0	8039	117

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 365

Calls

Call 1

Inputs
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
(sqrt (cos x))
(* (fmod (exp x) 1) (exp (neg x)))
(fmod (exp x) 1)
(exp x)
(exp (neg x))
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96)))))) (exp (neg x)))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x -1/96)))))
(fmod (exp x) (sqrt (cos x)))
(cos x)
(* (fmod (exp x) (sqrt (cos x))) (- 1 x))
(* x -1/96)
(* x (* x -1/96))
(* (* x x) (+ -1/4 (* x (* x -1/96))))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
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simplify489.0ms (3.8%)

Memory

-2.5MiB live, 526.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 572×	`accelerator-lowering-fma.f32`
17 572×	`accelerator-lowering-fma.f64`
5 166×	`-lowering-.f32`
5 166×	`-lowering-.f64`
3 090×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1830
1	429	1662
2	1053	1590
3	3590	1560
4	7801	1560
0	8142	1463

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval95.0ms (0.7%)

Memory: -17.7MiB live, 128.6MiB allocated
Compiler: Compiled 18 642 to 1 665 computations (91.1% saved)

prune80.0ms (0.6%)

Memory

27.3MiB live, 152.5MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	745	20	765
Fresh	1	5	6
Picked	5	0	5
Done	0	0	0
Total	751	25	776

Accuracy

62.3%

Counts

776 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	6.4%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	2.4%	(/.f64 (-.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
	23.0%	(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	16.9%	(.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 (neg.f64 x)))
	5.7%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
	6.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))) (exp.f64 (neg.f64 x)))
	6.4%	(.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 (neg.f64 x)))
	5.7%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (-.f64 #s(literal 1 binary64) x))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
	5.9%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
▶	6.3%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
	5.7%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
	1.4%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 (neg.f64 x)))
	1.0%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/96 binary64)))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
	5.4%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
▶	59.7%	(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	21.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 916 to 580 computations (36.7% saved)

simplify329.0ms (2.6%)

Memory

-33.2MiB live, 374.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	384	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
✓	cost-diff	128	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
✓	cost-diff	128	(.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 (neg.f64 x)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(fmod.f64 x (sqrt.f64 (cos.f64 x)))
✓	cost-diff	128	(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

11 536×	`accelerator-lowering-fma.f32`
11 536×	`accelerator-lowering-fma.f64`
3 050×	`--lowering--.f32`
3 050×	`--lowering--.f64`
2 288×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	192
1	60	192
2	101	189
3	195	189
4	348	189
5	760	184
6	1321	183
7	2423	183
8	4680	183
0	8029	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize278.0ms (2.2%)

Memory

37.8MiB live, 267.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(.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 (neg.f64 x)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	24.5%	(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))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	24.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(fmod.f64 x (sqrt.f64 (cos.f64 x)))

Samples

115.0ms	118×	1	valid
91.0ms	82×	2	valid
15.0ms	45×	1	exit
4.0ms	11×	0	valid

Compiler

Compiled 194 to 31 computations (84% saved)

Precisions

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

ival-fmod: 109.0ms (56.6% of total)

ival-mult: 20.0ms (10.4% of total)

ival-exp: 16.0ms (8.3% of total)

adjust: 14.0ms (7.3% of total)

ival-add: 12.0ms (6.2% of total)

ival-cos: 11.0ms (5.7% of total)

ival-sqrt: 4.0ms (2.1% of total)

ival-div: 3.0ms (1.6% of total)

ival-sub: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series15.0ms (0.1%)

Memory

-19.0MiB live, 19.4MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (- 1 (* x x)) (/ (fmod (exp x) (sqrt (cos x))) (+ x 1)))
3.0ms	x	@	inf	(+ 1 (* x (+ 1 (* x 1/2))))
1.0ms	x	@	inf	(* (- 1 (* x x)) (/ (fmod (exp x) (sqrt (cos x))) (+ x 1)))
0.0ms	x	@	0	(* (- 1 (* x x)) (/ (fmod (exp x) (sqrt (cos x))) (+ x 1)))
0.0ms	x	@	-inf	(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (exp (neg x)))

rewrite416.0ms (3.2%)

Memory

-7.3MiB live, 507.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 910×	`accelerator-lowering-fma.f32`
8 910×	`accelerator-lowering-fma.f64`
5 072×	`-lowering-.f32`
5 072×	`-lowering-.f64`
3 840×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	141
1	121	138
2	952	132
0	8636	122

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 627

Calls

Call 1

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

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

simplify679.0ms (5.3%)

Memory

-115.1MiB live, 623.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 636×	`accelerator-lowering-fma.f32`
17 636×	`accelerator-lowering-fma.f64`
4 202×	`-lowering-.f32`
4 202×	`-lowering-.f64`
3 304×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2080
1	536	1887
2	1247	1787
3	3470	1739
0	8149	1593

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval150.0ms (1.2%)

Memory: 11.7MiB live, 206.1MiB allocated
Compiler: Compiled 24 197 to 2 225 computations (90.8% saved)

prune140.0ms (1.1%)

Memory

-25.7MiB live, 189.3MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	961	18	979
Fresh	9	11	20
Picked	5	0	5
Done	0	0	0
Total	975	29	1 004

Accuracy

62.4%

Counts

1 004 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	16.2%	(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))
	42.7%	(fmod.f64 x (sqrt.f64 (cos.f64 x)))
▶	21.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (exp.f64 x))
	6.4%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	16.4%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	16.5%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
▶	11.5%	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	53.6%	(.f64 (fmod.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	15.9%	(.f64 (fmod.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	5.7%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
	6.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))) (exp.f64 (neg.f64 x)))
	5.7%	(.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) x))
	5.9%	(.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	6.4%	(.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 (neg.f64 x)))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
	6.0%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
▶	5.5%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
▶	59.7%	(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (+.f64 x #s(literal 1 binary64))))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64))))
▶	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 050 to 680 computations (35.2% saved)

simplify496.0ms (3.9%)

Memory

-5.4MiB live, 752.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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))))))))
✓	cost-diff	128	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	cost-diff	384	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(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)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(fmod.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))

Rules

17 458×	`accelerator-lowering-fma.f32`
17 458×	`accelerator-lowering-fma.f64`
4 974×	`-lowering-.f32`
4 974×	`-lowering-.f64`
2 986×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	461
1	103	385
2	313	373
3	1387	353
4	4135	353
5	7659	353
0	9005	313

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (fmod x 1) (exp (neg x)))
(fmod x 1)
x
1
(exp (neg x))
(neg x)
(fmod 1 1)
1
(* (fmod (exp x) 1) (+ 1 (* x (+ -1 (* x 1/2)))))
(fmod (exp x) 1)
(exp x)
x
1
(+ 1 (* x (+ -1 (* x 1/2))))
(* x (+ -1 (* x 1/2)))
(+ -1 (* x 1/2))
-1
(* x 1/2)
1/2
(* (fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1) (exp (neg x)))
(fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1)
(* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2)))))))
(+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2)))))))
1
(* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))
(* x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2)))))
(* x (* x (+ 1 (* x 1/2))))
(/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))
(+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2)))))
(+ 1 (* x (+ -1 (* x -1/2))))
(* x (+ -1 (* x -1/2)))
(+ -1 (* x -1/2))
-1
(* x -1/2)
-1/2
(exp (neg x))
(neg x)
(* (- 1 (* x x)) (* (fmod (exp x) (sqrt (cos x))) (- 1 x)))
(- 1 (* x x))
1
(* x x)
x
(* (fmod (exp x) (sqrt (cos x))) (- 1 x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(sqrt (cos x))
(cos x)
(- 1 x)

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

localize296.0ms (2.3%)

Memory

35.4MiB live, 268.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.5%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
✓	accuracy	98.5%	(fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	98.5%	(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%	(fmod.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))

Samples

211.0ms	245×	1	exit
4.0ms	11×	0	valid

Compiler

Compiled 463 to 42 computations (90.9% saved)

Precisions

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

adjust: 74.0ms (38.3% of total)

ival-mult: 62.0ms (32.1% of total)

ival-fmod: 30.0ms (15.5% of total)

ival-exp: 8.0ms (4.1% of total)

ival-add: 8.0ms (4.1% of total)

ival-cos: 3.0ms (1.6% of total)

ival-div: 2.0ms (1% of total)

ival-sub: 2.0ms (1% of total)

ival-sqrt: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series23.0ms (0.2%)

Memory

-20.5MiB live, 17.5MiB allocated

Counts

22 → 252

Calls

Call 1

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

Outputs
#<alt (fmod x 1)>
#<alt (+ (* -1 (* x (fmod x 1))) (fmod x 1))>
#<alt (+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))>
#<alt (+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<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 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 x)) 1)))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (/ 1 (pow x 3))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1) x))))>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (+ (* -1 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (+ (* x (+ (* -1 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)) (* 1/2 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (+ (* x (+ (* -1 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)) (* x (+ (* -1/6 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))) (* 1/2 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)))))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)>
#<alt (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)>
#<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 (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (pow x 3) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)) (fmod (exp x) (sqrt (cos x)))))))>
#<alt (* (pow x 3) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 3/2 x)))>
#<alt (* (pow x 3) (+ 1 (* x (+ 3/2 (* 3/4 x)))))>
#<alt (* (pow x 3) (+ 1 (* x (+ 3/2 (* x (+ 3/4 (* 1/8 x)))))))>
#<alt (* 1/8 (pow x 6))>
#<alt (* (pow x 6) (+ 1/8 (* 3/4 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (/ 3/2 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3/2 (pow x 2))))))>
#<alt (* 1/8 (pow x 6))>
#<alt (* (pow x 6) (+ 1/8 (* 3/4 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (/ 3/2 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 x)) x)) 3/4) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 x)))>
#<alt (* (pow x 2) (+ 1 (* 1/2 x)))>
#<alt (* (pow x 2) (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (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

63 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(* (fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1) (exp (neg x)))
1.0ms	x	@	-inf	(* (fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1) (exp (neg x)))
1.0ms	x	@	0	(* (fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1) (exp (neg x)))
1.0ms	x	@	-inf	(* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2)))))))
1.0ms	x	@	inf	(* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2)))))))

rewrite546.0ms (4.2%)

Memory

18.3MiB live, 722.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 082×	`accelerator-lowering-fma.f32`
5 082×	`accelerator-lowering-fma.f64`
3 854×	`/-lowering-/.f32`
3 854×	`/-lowering-/.f64`
3 704×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	314
1	205	232
2	1909	232
0	8786	210

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 767

Calls

Call 1

Inputs
(* (fmod x 1) (exp (neg x)))
(fmod x 1)
(exp (neg x))
(neg x)
(fmod 1 1)
(* (fmod (exp x) 1) (+ 1 (* x (+ -1 (* x 1/2)))))
(fmod (exp x) 1)
(exp x)
(+ 1 (* x (+ -1 (* x 1/2))))
(+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2)))))
(* (fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1) (exp (neg x)))
(* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2)))))))
(fmod (* (+ 1 (* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))) (/ 1 (+ (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))) (+ 1 (* x (+ -1 (* x -1/2))))))) 1)
(* (- 1 (* x x)) (* (fmod (exp x) (sqrt (cos x))) (- 1 x)))
(- 1 (* x x))
(* x x)
(* (fmod (exp x) (sqrt (cos x))) (- 1 x))
(* (* x (+ 1 (* x 1/2))) (* (+ 1 (* x 1/2)) (* x (* x (+ 1 (* x 1/2))))))
(* x (* x (+ 1 (* x 1/2))))
(* x (+ -1 (* x -1/2)))
(fmod (exp x) (sqrt (cos x)))
(cos x)

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

simplify502.0ms (3.9%)

Memory

-26.2MiB live, 752.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 908×	`accelerator-lowering-fma.f32`
12 908×	`accelerator-lowering-fma.f64`
4 002×	`-lowering-.f32`
4 002×	`-lowering-.f64`
3 260×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	3002
1	858	2724
2	2463	2543
3	5878	2539
0	8378	2288

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(fmod x 1)
(+ (* -1 (* x (fmod x 1))) (fmod x 1))
(+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))
(+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (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)
(fmod (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 x)) 1)))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (/ 1 x)))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(* (pow x 4) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (/ 1 (pow x 3))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (/ 1 x)))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1) x))))
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(+ (* -1 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(+ (* x (+ (* -1 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)) (* 1/2 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(+ (* x (+ (* -1 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)) (* x (+ (* -1/6 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))) (* 1/2 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)))))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)
(fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (pow x 3) (fmod (exp x) (sqrt (cos x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (fmod (exp x) (sqrt (cos x))))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)) (fmod (exp x) (sqrt (cos x)))))))
(* (pow x 3) (fmod (exp x) (sqrt (cos x))))
(* -1 (* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 3/2 x)))
(* (pow x 3) (+ 1 (* x (+ 3/2 (* 3/4 x)))))
(* (pow x 3) (+ 1 (* x (+ 3/2 (* x (+ 3/4 (* 1/8 x)))))))
(* 1/8 (pow x 6))
(* (pow x 6) (+ 1/8 (* 3/4 (/ 1 x))))
(* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (/ 3/2 (pow x 2)))))
(* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3/2 (pow x 2))))))
(* 1/8 (pow x 6))
(* (pow x 6) (+ 1/8 (* 3/4 (/ 1 x))))
(* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (/ 3/2 (pow x 2)))))
(* (pow x 6) (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 x)) x)) 3/4) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 x)))
(* (pow x 2) (+ 1 (* 1/2 x)))
(* (pow x 2) (+ 1 (* 1/2 x)))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* -1/2 x) 1))
(* x (- (* -1/2 x) 1))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 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)))
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 x 1)
(fmod.f64 x #s(literal 1 binary64))
(+ (* -1 (* x (fmod x 1))) (fmod x 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))
(.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (fmod.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(.f64 x (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(.f64 x (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
(.f64 (.f64 x x) (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
(.f64 (.f64 x x) (+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 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))
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 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 x)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(* 1/4 (pow x 4))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/4 (/ 1 x)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (/ 1 (pow x 3))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/4 (pow x 4))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/4 (/ 1 x)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(+ (* x (+ (* -1 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)) (* 1/2 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(+ (* x (+ (* -1 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)) (* x (+ (* -1/6 (* x (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))) (* 1/2 (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1)))))) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(* (exp (neg x)) (fmod (/ (+ 1 (* (pow x 3) (pow (+ 1 (* 1/2 x)) 3))) (+ 1 (+ (* -1 (* x (+ 1 (* 1/2 x)))) (* (pow x 2) (pow (+ 1 (* 1/2 x)) 2))))) 1))
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(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
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(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
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(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
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(* (exp (* -1 x)) (fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1))
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1
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(* (pow x 2) (+ 1/2 (/ 1 x)))
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(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))) #s(literal 1 binary64))
(fmod (/ (+ 1 (* (pow x 3) (pow (- 1 (* -1/2 x)) 3))) (+ 1 (+ (* x (- (* -1/2 x) 1)) (* (pow x 2) (pow (- 1 (* -1/2 x)) 2))))) 1)
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.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)))))))) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (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 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(+.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 (+.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)))))
(* (pow x 3) (fmod (exp x) (sqrt (cos x))))
(.f64 (.f64 x (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))
(.f64 x (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (fmod (exp x) (sqrt (cos x))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) x)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)) (fmod (exp x) (sqrt (cos x)))))))
(.f64 (.f64 x x) (+.f64 (.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal -1 binary64)))))
(* (pow x 3) (fmod (exp x) (sqrt (cos x))))
(.f64 (.f64 x (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* (pow x 3) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))))
(.f64 x (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(.f64 (.f64 x x) (+.f64 (.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (* 3/2 x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64))))
(* (pow x 3) (+ 1 (* x (+ 3/2 (* 3/4 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 x #s(literal 3/4 binary64))))))
(* (pow x 3) (+ 1 (* x (+ 3/2 (* x (+ 3/4 (* 1/8 x)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 x #s(literal 1/8 binary64))))))))
(* 1/8 (pow x 6))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/8 (* 3/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/4 binary64) x)))
(* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (/ 3/2 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x)))))
(* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3/2 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 3/4 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x))))))
(* 1/8 (pow x 6))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/8 (* 3/4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/4 binary64) x)))
(* (pow x 6) (+ 1/8 (+ (* 3/4 (/ 1 x)) (/ 3/2 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x)))))
(* (pow x 6) (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 x)) x)) 3/4) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) x)) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1 (* 1/2 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1 (* 1/2 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/2 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (- (* -1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (- (* -1/2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.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)

eval182.0ms (1.4%)

Memory: 49.6MiB live, 464.7MiB allocated
Compiler: Compiled 73 639 to 4 506 computations (93.9% saved)

prune193.0ms (1.5%)

Memory

-26.1MiB live, 462.7MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1 138	10	1 148
Fresh	2	22	24
Picked	2	3	5
Done	0	0	0
Total	1 142	35	1 177

Accuracy

62.4%

Counts

1 177 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	16.2%	(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))
	59.4%	(fmod.f64 x #s(literal 1 binary64))
✓	21.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (exp.f64 x))
	6.4%	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
	6.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	59.7%	(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
	5.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))))
	13.3%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))))
	16.4%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	16.5%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	11.5%	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	11.5%	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x))))))
✓	11.5%	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	10.7%	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) #s(literal 1 binary64))
	9.3%	(.f64 (fmod.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.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)))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	53.6%	(.f64 (fmod.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	15.9%	(.f64 (fmod.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	5.7%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
	6.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/96 binary64))))))))) (exp.f64 (neg.f64 x)))
	5.7%	(.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) x))
	5.9%	(.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	6.4%	(.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 (neg.f64 x)))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
	6.0%	(.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 (neg.f64 x)))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))))))
✓	5.5%	(.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (+.f64 x #s(literal 1 binary64))))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)))
	5.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64))))

Compiler

Compiled 1 920 to 688 computations (64.2% saved)

regimes143.0ms (1.1%)

Memory

-2.4MiB live, 36.0MiB allocated

Counts

60 → 1

Calls

Call 1

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

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

Calls

2 calls:

123.0ms	x
13.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
59.7%	1	`x`
59.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes16.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
59.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
21.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify25.0ms (0.2%)

Memory

-29.8MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	21	28
2	23	28
3	24	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness966.0ms (7.5%)

Memory

13.8MiB live, 728.1MiB allocated

Rules

17 636×	`accelerator-lowering-fma.f32`
17 636×	`accelerator-lowering-fma.f64`
17 572×	`accelerator-lowering-fma.f32`
17 572×	`accelerator-lowering-fma.f64`
13 324×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	314
1	205	232
2	1909	232
0	8786	210
0	157	1830
1	429	1662
2	1053	1590
3	3590	1560
4	7801	1560
0	8142	1463
0	279	3002
1	858	2724
2	2463	2543
3	5878	2539
0	8378	2288
0	196	2080
1	536	1887
2	1247	1787
3	3470	1739
0	8149	1593
0	76	401
1	181	380
2	412	368
3	1045	358
4	1890	358
5	3512	358
6	4863	358
7	6196	358
8	7695	358
0	8062	336

Stop Event

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

Compiler

Compiled 170 to 116 computations (31.8% saved)

preprocess54.0ms (0.4%)

Memory: 15.2MiB live, 93.6MiB allocated
Compiler: Compiled 84 to 44 computations (47.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9

analyze198.0ms (1.5%)

sample5.1s (39.5%)

preprocess17.0ms (0.1%)

explain213.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize93.0ms (0.7%)

series3.0ms (0%)

rewrite82.0ms (0.6%)

simplify354.0ms (2.8%)

eval12.0ms (0.1%)

prune18.0ms (0.1%)

simplify84.0ms (0.7%)

localize219.0ms (1.7%)

series11.0ms (0.1%)

rewrite347.0ms (2.7%)

simplify489.0ms (3.8%)

eval95.0ms (0.7%)

prune80.0ms (0.6%)

simplify329.0ms (2.6%)

localize278.0ms (2.2%)

series15.0ms (0.1%)

rewrite416.0ms (3.2%)

simplify679.0ms (5.3%)

eval150.0ms (1.2%)

prune140.0ms (1.1%)

simplify496.0ms (3.9%)

localize296.0ms (2.3%)

series23.0ms (0.2%)

rewrite546.0ms (4.2%)

simplify502.0ms (3.9%)

eval182.0ms (1.4%)

prune193.0ms (1.5%)

regimes143.0ms (1.1%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes1.0ms (0%)

simplify25.0ms (0.2%)

soundness966.0ms (7.5%)

preprocess54.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9