Metrics for expfmod (used to be hard to sample)

analyze207.0ms (1.6%)

Memory

28.4MiB live, 255.7MiB 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)

sample4.7s (36.5%)

Memory

-200.5MiB live, 4 281.0MiB allocated

Samples

1.4s	1 650×	5	exit
1.0s	2 459×	2	valid
822.0ms	3 641×	1	valid
399.0ms	3 280×	0	invalid
234.0ms	2 156×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-cos: 1.2s (36% of total)

ival-fmod: 765.0ms (22.4% of total)

ival-exp: 654.0ms (19.1% of total)

ival-sqrt: 278.0ms (8.1% of total)

adjust: 277.0ms (8.1% of total)

ival-mult: 142.0ms (4.1% of total)

ival-neg: 59.0ms (1.7% of total)

ival-true: 12.0ms (0.4% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

preprocess21.0ms (0.2%)

Memory

-9.0MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`sub-neg`
28×	`div-sub`
24×	`lower-*.f32`
22×	`lower-*.f64`
22×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain277.0ms (2.1%)

Memory

15.5MiB live, 253.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
200	0	-	200	(2.0124090704288556e-88)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
2	0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(exp.f64 x)`
0	2	(702.49553538262)	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
`*.f64`	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`	*uo**	2	0
↳	`(exp.f64 x)`	underflow	2
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	2
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	3	248
-	1	4

Precision

0.75

Recall

0.01195219123505976

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	248
-	1	0	4

Precision?

0.75

Recall?

0.01195219123505976

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms	180×	2	valid
45.0ms	194×	1	valid
14.0ms	98×	1	exit
4.0ms	40×	0	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-exp: 34.0ms (28.1% of total)

ival-cos: 29.0ms (24% of total)

ival-fmod: 27.0ms (22.3% of total)

adjust: 14.0ms (11.6% of total)

ival-sqrt: 8.0ms (6.6% of total)

ival-mult: 5.0ms (4.1% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 (cos.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

24×	`lower-*.f32`
22×	`lower-*.f64`
12×	`lower-/.f32`
12×	`lower-/.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	15	29
1	22	29
2	32	28
3	38	28
4	43	28
5	49	28
6	56	28
7	62	28
8	63	28
0	63	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (0.7%)

Memory

-25.1MiB live, 140.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	99.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

45.0ms	90×	2	valid
22.0ms	97×	1	valid
10.0ms	49×	1	exit
3.0ms	20×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 25.0ms (37.3% of total)

ival-fmod: 15.0ms (22.4% of total)

ival-cos: 13.0ms (19.4% of total)

adjust: 5.0ms (7.5% of total)

ival-sqrt: 4.0ms (6% of total)

ival-mult: 3.0ms (4.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (exp.f64 x)>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (cos.f64 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	@	0	(sqrt (cos x))
0.0ms	x	@	inf	(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms	x	@	0	(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms	x	@	inf	(sqrt (cos x))

simplify327.0ms (2.5%)

Memory

11.4MiB live, 474.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 324×	`lower-fma.f64`
13 324×	`lower-fma.f32`
3 658×	`lower-*.f64`
3 658×	`lower-*.f32`
2 382×	`lower-+.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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 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)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)

rewrite71.0ms (0.5%)

Memory

31.9MiB live, 104.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

612×	`lower-*.f32`
610×	`lower-*.f64`
600×	`lower-/.f64`
600×	`lower-/.f32`
252×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	15	23
1	24	22
2	63	22
3	257	22
0	1992	22

Stop Event

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

Counts

5 → 64

Calls

Call 1

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

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

eval42.0ms (0.3%)

Memory: -33.8MiB live, 57.6MiB allocated
Compiler: Compiled 1 599 to 260 computations (83.7% saved)

prune208.0ms (1.6%)

Memory

6.2MiB live, 44.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	13	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	13	125

Accuracy

26.4%

Counts

125 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.1%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.1%	(*.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)))
▶	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
▶	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	12.1%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	22.8%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	5.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 408 to 268 computations (34.3% saved)

simplify38.0ms (0.3%)

Memory

-9.0MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 #s(literal -1 binary64))
✓	cost-diff	(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
✓	cost-diff	(fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	cost-diff	(sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	cost-diff	#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	cost-diff	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	cost-diff	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	cost-diff	(sqrt.f64 (cos.f64 x))
✓	cost-diff	#s(approx (exp x) #s(literal 1 binary64))
✓	cost-diff	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

352×	`lower-fma.f32`
344×	`lower-fma.f64`
212×	`lower-*.f32`
198×	`lower-*.f64`
180×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	300
0	67	300
1	105	300
2	206	295
3	286	295
4	298	295
5	304	295
6	383	295
7	486	295
8	498	295
0	498	295

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))

localize251.0ms (1.9%)

Memory

38.8MiB live, 463.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	99.9%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
✓	accuracy	99.2%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	27.1%	(fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	accuracy	98.6%	#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	accuracy	99.2%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	accuracy	98.4%	#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	accuracy	97.6%	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	99.2%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	96.4%	#s(approx (exp x) #s(literal 1 binary64))
✓	accuracy	27.1%	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))

Samples

98.0ms	90×	2	valid
57.0ms	97×	1	valid
18.0ms	49×	1	exit
6.0ms	20×	0	valid

Compiler

Compiled 212 to 30 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-fmod: 35.0ms (25.8% of total)

ival-exp: 25.0ms (18.4% of total)

adjust: 17.0ms (12.5% of total)

ival-mult: 15.0ms (11.1% of total)

ival-pow: 14.0ms (10.3% of total)

ival-cos: 11.0ms (8.1% of total)

const: 7.0ms (5.2% of total)

ival-add: 5.0ms (3.7% of total)

ival-sqrt: 4.0ms (2.9% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

21 → 240

Calls

Call 1

Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x)))>
#<alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>

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

Calls

60 calls:

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

simplify379.0ms (2.9%)

Memory

-12.4MiB live, 438.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 946×	`lower-fma.f64`
17 946×	`lower-fma.f32`
4 680×	`lower-*.f64`
4 680×	`lower-*.f32`
2 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1879
1	276	1762
2	668	1697
3	1655	1644
4	3195	1644
5	5866	1644
0	8127	1559

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

rewrite397.0ms (3%)

Memory

-22.3MiB live, 458.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 670×	`lower-fma.f32`
11 662×	`lower-fma.f64`
6 314×	`lower-*.f32`
6 300×	`lower-*.f64`
3 416×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	221
0	67	218
1	171	211
2	974	207
0	8454	207

Stop Event

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

Counts

21 → 229

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 (cos.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 #s(literal -1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 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)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.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) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) x))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(.f64 (exp.f64 (.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #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 (exp.f64 (.f64 x #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.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) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (exp.f64 (neg.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) (sqrt.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))))
#s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

eval65.0ms (0.5%)

Memory: 6.2MiB live, 121.6MiB allocated
Compiler: Compiled 11 890 to 1 008 computations (91.5% saved)

prune56.0ms (0.4%)

Memory

-0.2MiB live, 116.6MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	567	13	580
Fresh	3	5	8
Picked	2	3	5
Done	0	0	0
Total	572	21	593

Accuracy

27.1%

Counts

593 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 (.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
	2.8%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) (+ (* (* x x) -1/96) -1/4)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) (exp.f64 (neg.f64 x)))
	1.7%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) (+ (* (* x x) -1/96) -1/4)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 (neg.f64 x)))
✓	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	12.1%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	12.1%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	11.5%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	15.7%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	15.5%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	22.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	22.4%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	5.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
▶	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 837 to 453 computations (45.9% saved)

simplify667.0ms (5.1%)

Memory

-2.9MiB live, 559.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	0	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
✓	cost-diff	0	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))

Rules

23 712×	`lower-fma.f32`
23 698×	`lower-fma.f64`
3 084×	`lower-*.f32`
3 074×	`lower-*.f64`
2 952×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	323
0	79	323
1	136	322
2	267	319
3	594	319
4	1151	319
5	1675	319
6	2584	319
7	3849	319
8	4620	319
9	5476	319
10	6084	319
11	6366	319
12	6563	319
13	6834	319
14	6994	319
15	7255	319
16	7342	319
17	7366	319
18	7386	319
19	7394	319
20	7394	319
0	8376	319

Stop Event

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

Calls

Call 1

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

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

localize242.0ms (1.9%)

Memory

5.3MiB live, 327.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	98.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
✓	accuracy	97.6%	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	accuracy	98.4%	#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	97.8%	#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	27.1%	(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.2%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	accuracy	97.6%	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	accuracy	96.4%	#s(approx (exp x) #s(literal 1 binary64))
✓	accuracy	27.1%	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	accuracy	97.6%	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	accuracy	97.4%	#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	27.1%	(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))

Samples

82.0ms	97×	1	valid
74.0ms	90×	2	valid
22.0ms	49×	1	exit
6.0ms	20×	0	valid

Compiler

Compiled 226 to 34 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-true: 29.0ms (20.5% of total)

ival-exp: 24.0ms (17% of total)

adjust: 20.0ms (14.2% of total)

ival-mult: 19.0ms (13.4% of total)

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

ival-cos: 11.0ms (7.8% of total)

ival-add: 9.0ms (6.4% of total)

const: 7.0ms (5% of total)

ival-sqrt: 4.0ms (2.8% of total)

ival-div: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

series8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

20 → 240

Calls

Call 1

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

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms	x	@	0	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms	x	@	inf	(* (fmod (exp x) (sqrt (cos x))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
0.0ms	x	@	-inf	(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms	x	@	-inf	(* (fmod (exp x) (sqrt (cos x))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))

simplify503.0ms (3.9%)

Memory

14.1MiB live, 606.5MiB allocated

Algorithm

1×	egg-herbie

Rules

25 496×	`lower-fma.f64`
25 496×	`lower-fma.f32`
5 118×	`lower-*.f64`
5 118×	`lower-*.f32`
1 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1989
1	380	1853
2	1232	1742
3	6025	1723
0	8214	1651

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

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

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

rewrite288.0ms (2.2%)

Memory

14.1MiB live, 434.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 884×	`lower-*.f32`
4 874×	`lower-*.f64`
4 570×	`lower-/.f32`
4 568×	`lower-/.f64`
3 746×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	233
0	79	233
1	236	229
2	1558	229
0	8148	229

Stop Event

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

Counts

20 → 179

Calls

Call 1

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

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

eval51.0ms (0.4%)

Memory: -14.7MiB live, 105.1MiB allocated
Compiler: Compiled 9 602 to 695 computations (92.8% saved)

prune78.0ms (0.6%)

Memory

-27.4MiB live, 117.5MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	459	14	473
Fresh	7	6	13
Picked	3	2	5
Done	0	3	3
Total	469	25	494

Accuracy

60.7%

Counts

494 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	5.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
▶	5.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 (.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
✓	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	15.7%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	15.5%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	48.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	14.2%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (.f64 x (.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	22.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	22.4%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	3.4%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	6.3%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	5.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	6.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	4.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 1 175 to 582 computations (50.5% saved)

simplify454.0ms (3.5%)

Memory

29.0MiB live, 375.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	cost-diff	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	cost-diff	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
✓	cost-diff	#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
✓	cost-diff	(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))

Rules

12 164×	`lower-fma.f32`
12 144×	`lower-fma.f64`
3 478×	`lower-+.f64`
3 478×	`lower-+.f32`
3 074×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	604
0	93	604
1	188	600
2	410	596
3	1144	596
4	2497	596
5	4373	596
6	5750	596
7	7636	596
0	8014	592

Stop Event

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

Calls

Call 1

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

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

localize495.0ms (3.8%)

Memory

-29.4MiB live, 415.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)))
✓	accuracy	98.5%	#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	98.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	98.1%	#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	98.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	98.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	accuracy	97.6%	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
✓	accuracy	97.6%	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
✓	accuracy	96.4%	#s(approx (exp x) #s(literal 1 binary64))
✓	accuracy	27.1%	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
✓	accuracy	98.4%	#s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	97.8%	#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
✓	accuracy	27.1%	(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
✓	accuracy	23.2%	#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))

Samples

235.0ms	90×	2	valid
66.0ms	97×	1	valid
34.0ms	49×	1	exit
8.0ms	20×	0	valid

Compiler

Compiled 383 to 46 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-exp: 73.0ms (26.8% of total)

ival-mult: 58.0ms (21.3% of total)

adjust: 47.0ms (17.3% of total)

ival-fmod: 44.0ms (16.2% of total)

ival-add: 17.0ms (6.2% of total)

const: 13.0ms (4.8% of total)

ival-cos: 11.0ms (4% of total)

ival-sqrt: 4.0ms (1.5% of total)

ival-div: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series6.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))>
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))>
#<alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))>
#<alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)))>

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

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ (* (* x x) -19/5760) -1/96))
0.0ms	x	@	0	(* x (+ (* (* x x) -19/5760) -1/96))
0.0ms	x	@	-inf	(* x (+ (* (* x x) -19/5760) -1/96))
0.0ms	x	@	0	(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms	x	@	0	(/ (fmod (exp x) (sqrt (cos x))) (exp x))

simplify691.0ms (5.3%)

Memory

21.9MiB live, 610.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 882×	`lower-fma.f64`
17 882×	`lower-fma.f32`
4 568×	`lower-*.f64`
4 568×	`lower-*.f32`
2 866×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	2642
1	397	2462
2	1329	2248
3	5152	2160
0	8972	2076

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

rewrite418.0ms (3.2%)

Memory

-8.0MiB live, 586.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 672×	`lower-fma.f32`
6 652×	`lower-fma.f64`
4 136×	`lower-*.f32`
4 120×	`lower-*.f64`
3 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	417
0	93	417
1	337	409
2	2416	409
0	8532	405

Stop Event

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

Counts

21 → 155

Calls

Call 1

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

Outputs
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(approx (exp x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 #s(approx (exp x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(pow.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -1/96 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64)))) (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/96 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal 1/9216 binary64)) (.f64 (*.f64 x x) #s(literal 19/552960 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal -1/9216 binary64))) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal 1/9216 binary64)) (.f64 (*.f64 x x) #s(literal 19/552960 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal -1/9216 binary64)) x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))) (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -1/96 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/96 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal 1/9216 binary64)) (.f64 (*.f64 x x) #s(literal 19/552960 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal -1/9216 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal 1/9216 binary64)) (.f64 (*.f64 x x) #s(literal 19/552960 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 361/33177600 binary64) #s(literal -1/9216 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(/.f64 (fma.f64 #s(literal -1/884736 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 x #s(literal -1/96 binary64)) (-.f64 (.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -19/5760 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -1/96 binary64)) (.f64 #s(literal -19/5760 binary64) (.f64 x (*.f64 x x)))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) x)

eval52.0ms (0.4%)

Memory: 23.0MiB live, 138.0MiB allocated
Compiler: Compiled 12 597 to 594 computations (95.3% saved)

prune55.0ms (0.4%)

Memory

11.2MiB live, 171.0MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	467	13	480
Fresh	8	7	15
Picked	3	2	5
Done	1	4	5
Total	479	26	505

Accuracy

60.8%

Counts

505 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	5.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
	15.1%	(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
	23.9%	(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
	22.5%	(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 (.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
✓	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	48.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	14.2%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( x (+ (* x 1/2) 1)) 1) (.f64 x (.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (exp.f64 (.f64 x #s(literal -1/2 binary64))))
	3.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	6.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
✓	6.3%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	6.3%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	6.3%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	11.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	11.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	11.6%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	11.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 1 985 to 531 computations (73.2% saved)

regimes37.0ms (0.3%)

Memory

-22.7MiB live, 94.1MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #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 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))

Calls

2 calls:

19.0ms	x
14.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
59.2%	3	`x`
60.0%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes15.0ms (0.1%)

Memory

2.2MiB live, 40.3MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))

(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))

(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
60.0%	3	`(*.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)

regimes14.0ms (0.1%)

Memory

1.4MiB live, 40.0MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
58.4%	2	`(*.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)

regimes10.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))

Calls

2 calls:

5.0ms	x
4.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
24.7%	1	`x`
24.7%	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)

regimes23.0ms (0.2%)

Memory

-42.5MiB live, 17.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))

Calls

2 calls:

19.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
4.0ms	x

Results

Accuracy	Segments	Branch
23.9%	1	`x`
23.9%	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)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
22.5%	1	`x`
22.5%	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)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000002	NaN
0.0ms	7.727152251390491e-14	4.330606729971527e-8

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000002	NaN
0.0ms	7.727152251390491e-14	4.330606729971527e-8

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.010593325917934758	0.9999999999999999

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify10.0ms (0.1%)

Memory

-14.2MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	282
1	68	282
2	70	282
3	71	282

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))

soundness1.6s (12.6%)

Memory

34.9MiB live, 991.4MiB allocated

Rules

25 496×	`lower-fma.f64`
25 496×	`lower-fma.f32`
17 946×	`lower-fma.f64`
17 946×	`lower-fma.f32`
17 882×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	221
0	67	218
1	171	211
2	974	207
0	8454	207
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
0	8	23
0	15	23
1	24	22
2	63	22
3	257	22
0	1992	22
0	129	1989
1	380	1853
2	1232	1742
3	6025	1723
0	8214	1651
0	110	1879
1	276	1762
2	668	1697
3	1655	1644
4	3195	1644
5	5866	1644
0	8127	1559
0	135	2642
1	397	2462
2	1329	2248
3	5152	2160
0	8972	2076

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

Compiler

Compiled 638 to 299 computations (53.1% saved)

preprocess60.0ms (0.5%)

Memory: -13.9MiB live, 102.6MiB allocated
Compiler: Compiled 422 to 100 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

Iter	Nodes	Cost
0	38	300
0	67	300
1	105	300
2	206	295
3	286	295
4	298	295
5	304	295
6	383	295
7	486	295
8	498	295
0	498	295

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

Iter	Nodes	Cost
0	38	300
0	67	300
1	105	300
2	206	295
3	286	295
4	298	295
5	304	295
6	383	295
7	486	295
8	498	295
0	498	295

analyze207.0ms (1.6%)

sample4.7s (36.5%)

preprocess21.0ms (0.2%)

explain277.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize91.0ms (0.7%)

series3.0ms (0%)

simplify327.0ms (2.5%)

rewrite71.0ms (0.5%)

eval42.0ms (0.3%)

prune208.0ms (1.6%)

simplify38.0ms (0.3%)

localize251.0ms (1.9%)

series7.0ms (0.1%)

simplify379.0ms (2.9%)

rewrite397.0ms (3%)

eval65.0ms (0.5%)

prune56.0ms (0.4%)

simplify667.0ms (5.1%)

localize242.0ms (1.9%)

series8.0ms (0.1%)

simplify503.0ms (3.9%)

rewrite288.0ms (2.2%)

eval51.0ms (0.4%)

prune78.0ms (0.6%)

simplify454.0ms (3.5%)

localize495.0ms (3.8%)

series6.0ms (0%)

simplify691.0ms (5.3%)

rewrite418.0ms (3.2%)

eval52.0ms (0.4%)

prune55.0ms (0.4%)

regimes37.0ms (0.3%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes23.0ms (0.2%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.6s (12.6%)

preprocess60.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

Iter	Nodes	Cost
0	38	300
0	67	300
1	105	300
2	206	295
3	286	295
4	298	295
5	304	295
6	383	295
7	486	295
8	498	295
0	498	295