Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze188.0ms (1.9%)

Memory

20.5MiB live, 418.8MiB 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)

sample4.8s (48.3%)

Memory

-122.3MiB live, 4 799.0MiB allocated

Samples

1.4s	1 609×	5	exit
1.2s	2 533×	2	valid
719.0ms	3 651×	1	valid
650.0ms	3 391×	0	invalid
217.0ms	2 072×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-cos: 1.6s (43.7% of total)

ival-fmod: 782.0ms (20.7% of total)

ival-exp: 601.0ms (15.9% of total)

adjust: 276.0ms (7.3% of total)

ival-sqrt: 233.0ms (6.2% of total)

ival-mult: 144.0ms (3.8% of total)

ival-neg: 72.0ms (1.9% of total)

ival-true: 10.0ms (0.3% of total)

ival-assert: 5.0ms (0.1% of total)

Bogosity

explain222.0ms (2.2%)

Memory

-16.2MiB live, 298.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
195	0	-	195	(3.1790876931096747e-224)	`(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	(-238.066418642864)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	0
`*.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

Confusion

	Predicted +	Predicted -
+	2	244
-	2	8

Precision

0.5

Recall

0.008130081300813009

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	244
-	2	0	8

Precision?

0.5

Recall?

0.008130081300813009

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

75.0ms	172×	2	valid
51.0ms	200×	1	valid
13.0ms	98×	1	exit
4.0ms	42×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-exp: 34.0ms (28.5% of total)

ival-fmod: 30.0ms (25.2% of total)

ival-cos: 29.0ms (24.3% of total)

adjust: 10.0ms (8.4% of total)

ival-sqrt: 8.0ms (6.7% of total)

ival-mult: 5.0ms (4.2% of total)

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

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

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

preprocess20.0ms (0.2%)

Memory

1.0MiB live, 38.0MiB 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)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify5.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

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)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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)

localize96.0ms (1%)

Memory

-14.1MiB live, 63.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.4921930021016504	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	46.35767592920647	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

36.0ms	86×	2	valid
20.0ms	100×	1	valid
6.0ms	49×	1	exit
2.0ms	21×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-exp: 16.0ms (29.7% of total)

ival-fmod: 13.0ms (24.1% of total)

ival-cos: 12.0ms (22.2% of total)

adjust: 5.0ms (9.3% of total)

ival-sqrt: 4.0ms (7.4% of total)

ival-mult: 3.0ms (5.6% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(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)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms	x	@	inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms	x	@	-inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify282.0ms (2.8%)

Memory

-24.5MiB live, 143.5MiB 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	413	368
3	1050	358
4	1888	358
5	3537	358
6	4860	358
7	6181	358
8	7674	358
0	8041	336

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(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))))))
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)))
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)))
(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))))
(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)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(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))))
(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)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(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))))

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

rewrite56.0ms (0.6%)

Memory

6.7MiB live, 44.7MiB allocated

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

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

eval37.0ms (0.4%)

Memory: -6.8MiB live, 36.9MiB allocated
Compiler: Compiled 1 579 to 280 computations (82.3% saved)

prune6.0ms (0.1%)

Memory

-28.0MiB live, 9.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	4	125

Accuracy

26.8%

Counts

125 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.6%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	22.9%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	5.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
cost-diff	0	(exp.f64 (neg.f64 x))
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	0	(cos.f64 x)
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

Rules

48×	`lower-*.f32`
44×	`lower-*.f64`
24×	`lower-/.f32`
22×	`lower-/.f64`
12×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	36	124
1	45	124
2	61	121
3	71	121
4	78	121
5	84	121
6	91	121
7	103	121
8	106	121
0	106	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize113.0ms (1.1%)

Memory

2.1MiB live, 76.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.4921930021016504	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy	46.35767592920647	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0	(exp.f64 x)
accuracy	0.4921930021016504	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy	1.4843544616138662	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	46.35767592920647	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	0	(cos.f64 x)
accuracy	0.4921930021016504	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	2.3203259528394886	#s(approx (exp x) #s(literal 1 binary64))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
accuracy	0	(exp.f64 x)
accuracy	0	(cos.f64 x)
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	46.35767592920647	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

46.0ms	86×	2	valid
26.0ms	100×	1	valid
8.0ms	49×	1	exit
3.0ms	21×	0	valid

Compiler

Compiled 107 to 12 computations (88.8% saved)

Precisions

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

ival-exp: 16.0ms (26.2% of total)

ival-fmod: 13.0ms (21.3% of total)

ival-cos: 12.0ms (19.7% of total)

adjust: 9.0ms (14.8% of total)

ival-sqrt: 4.0ms (6.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())
#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(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)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())) ())
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#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (taylor -inf x) (#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (taylor -inf x) (#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (taylor -inf x) (#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (taylor -inf x) (#s(alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (patch (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify240.0ms (2.4%)

Memory

14.7MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 372×	`lower-fma.f64`
20 372×	`lower-fma.f32`
3 308×	`lower-*.f64`
3 308×	`lower-*.f32`
2 430×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1203
1	276	1110
2	717	1058
3	2531	1050
4	6052	1050
0	8055	997

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

rewrite82.0ms (0.8%)

Memory

-20.7MiB live, 88.6MiB allocated

Rules

1 186×	`lower-*.f32`
1 182×	`lower-*.f64`
1 108×	`lower-/.f32`
1 106×	`lower-/.f64`
378×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	91
0	36	90
1	52	88
2	120	88
3	477	88
0	3207	88

Stop Event

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

Counts

13 → 245

Calls

Call 1

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

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

eval79.0ms (0.8%)

Memory: 7.8MiB live, 129.1MiB allocated
Compiler: Compiled 9 086 to 972 computations (89.3% saved)

prune25.0ms (0.3%)

Memory

-14.9MiB live, 71.2MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	685	12	697
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	688	13	701

Accuracy

26.9%

Counts

701 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
✓	7.6%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	5.7%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	18.1%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	4.3%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
▶	4.4%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
▶	22.6%	(*.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)))
	7.7%	(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
▶	5.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
▶	5.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
▶	4.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))

Compiler

Compiled 283 to 230 computations (18.7% saved)

simplify59.0ms (0.6%)

Memory

10.8MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

536×	`lower-fma.f32`
532×	`lower-fma.f64`
268×	`lower-*.f32`
264×	`lower-*.f64`
144×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	227
0	49	227
1	63	227
2	85	223
3	117	223
4	157	223
5	179	223
6	233	223
7	314	223
8	374	223
9	455	223
10	545	223
11	638	223
12	677	223
13	681	223
0	681	223

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

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

localize125.0ms (1.3%)

Memory

4.4MiB live, 204.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	1.5325576324645083	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
accuracy	0.4921930021016504	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
accuracy	1.7287959820248473	#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
accuracy	2.3203259528394886	#s(approx (exp x) #s(literal 1 binary64))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
accuracy	0	(cos.f64 x)
accuracy	2.3203259528394886	#s(approx (exp x) #s(literal 1 binary64))
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
accuracy	0	(exp.f64 x)
accuracy	1.4843544616138662	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
accuracy	46.35767592920647	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	0.4921930021016504	(*.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	1.4843544616138662	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	2.3203259528394886	#s(approx (exp x) #s(literal 1 binary64))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))

Samples

54.0ms	86×	2	valid
31.0ms	100×	1	valid
16.0ms	49×	1	exit
3.0ms	21×	0	valid

Compiler

Compiled 149 to 17 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-exp: 17.0ms (22.5% of total)

ival-fmod: 13.0ms (17.2% of total)

adjust: 12.0ms (15.9% of total)

ival-cos: 12.0ms (15.9% of total)

ival-sqrt: 10.0ms (13.2% of total)

ival-mult: 5.0ms (6.6% of total)

ival-add: 2.0ms (2.6% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation:binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(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))) (patch (.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))) #<representation:binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(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)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify197.0ms (2%)

Memory

1.2MiB live, 116.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 246×	`lower-fma.f64`
15 246×	`lower-fma.f32`
4 350×	`lower-*.f64`
4 350×	`lower-*.f32`
1 828×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1621
1	231	1504
2	523	1435
3	1295	1400
4	2659	1400
5	5606	1400
0	8202	1318

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite208.0ms (2.1%)

Memory

-10.0MiB live, 116.2MiB allocated

Rules

4 950×	`lower-fma.f32`
4 946×	`lower-fma.f64`
3 234×	`lower-*.f32`
3 230×	`lower-*.f64`
2 406×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	49	177
1	97	173
2	473	173
3	4491	169
0	8996	169

Stop Event

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

Counts

18 → 230

Calls

Call 1

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

Outputs
(*.f64 (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 x))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (E.f64)) x))
(exp.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (log.f64 (E.f64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)
(-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(*.f64 (exp.f64 x) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp (neg 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 (fmod.f64 #s(approx (exp (neg 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 (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(-.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))

eval109.0ms (1.1%)

Memory: 4.2MiB live, 76.9MiB allocated
Compiler: Compiled 8 839 to 1 180 computations (86.7% saved)

prune35.0ms (0.4%)

Memory

-0.6MiB live, 38.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	570	6	576
Fresh	2	5	7
Picked	5	0	5
Done	0	1	1
Total	577	12	589

Accuracy

61.9%

Counts

589 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
✓	7.6%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
▶	5.7%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
▶	18.1%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	17.3%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
	23.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
▶	38.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
	5.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))))
▶	6.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	22.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))

Compiler

Compiled 261 to 212 computations (18.8% saved)

simplify53.0ms (0.5%)

Memory

-11.5MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

680×	`lower-fma.f32`
674×	`lower-fma.f64`
364×	`lower-*.f32`
356×	`lower-*.f64`
176×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	323
0	64	323
1	82	323
2	107	319
3	138	319
4	186	319
5	209	319
6	271	319
7	360	319
8	421	319
9	502	319
10	592	319
11	718	319
12	831	319
13	850	319
14	864	319
15	879	319
16	885	319
0	885	319

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize138.0ms (1.4%)

Memory

22.9MiB live, 99.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4921930021016504	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy	1.4843544616138662	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	1.5325576324645083	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	0.4921930021016504	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
accuracy	1.4843544616138662	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	1.7287959820248473	#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
accuracy	46.35767592920647	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	1.3877824945036408	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	2.3203259528394886	#s(approx (exp x) #s(literal 1 binary64))
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	1.4843544616138662	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	2.3203259528394886	#s(approx (exp x) #s(literal 1 binary64))
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	1.5325576324645083	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	2.326513285911761	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
accuracy	46.35767592920647	(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
accuracy	49.220485366610035	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

Samples

53.0ms	86×	2	valid
39.0ms	100×	1	valid
11.0ms	49×	1	exit
4.0ms	21×	0	valid

Compiler

Compiled 177 to 21 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-exp: 16.0ms (21.8% of total)

adjust: 14.0ms (19.1% of total)

ival-fmod: 13.0ms (17.7% of total)

ival-cos: 12.0ms (16.3% of total)

ival-mult: 8.0ms (10.9% of total)

ival-sqrt: 4.0ms (5.4% of total)

ival-add: 3.0ms (4.1% of total)

ival-sub: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (patch #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())
#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation:binary64>) () ())
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (patch #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation:binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (patch #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (patch #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (patch #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(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)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (patch #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation:binary64>) () ())) ())
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#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify319.0ms (3.2%)

Memory

-23.3MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 028×	`lower-fma.f64`
18 028×	`lower-fma.f32`
4 566×	`lower-*.f64`
4 566×	`lower-*.f32`
2 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1766
1	205	1642
2	441	1577
3	1578	1542
4	4580	1542
5	7843	1542
0	8077	1443

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

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

rewrite231.0ms (2.3%)

Memory

-10.7MiB live, 197.4MiB allocated

Rules

6 346×	`lower-fma.f32`
6 340×	`lower-fma.f64`
3 428×	`lower-*.f32`
3 420×	`lower-*.f64`
2 034×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	265
0	64	265
1	127	261
2	631	261
3	5971	259
0	8981	259

Stop Event

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

Counts

20 → 279

Calls

Call 1

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

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

eval88.0ms (0.9%)

Memory: 6.2MiB live, 158.0MiB allocated
Compiler: Compiled 12 775 to 1 986 computations (84.5% saved)

prune24.0ms (0.2%)

Memory

18.0MiB live, 57.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	649	8	657
Fresh	5	1	6
Picked	3	2	5
Done	1	0	1
Total	658	11	669

Accuracy

62.1%

Counts

669 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	24.3%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	16.7%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	37.8%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
	9.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
	23.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
	38.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) x))) (sqrt.f64 (cos.f64 x))))
	38.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))) (sqrt.f64 (cos.f64 x))))
	38.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
✓	6.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
✓	22.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))

Compiler

Compiled 551 to 255 computations (53.7% saved)

regimes19.0ms (0.2%)

Memory

-2.6MiB live, 36.0MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 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 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 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 (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #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))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) 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)))
#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) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) x))) (sqrt.f64 (cos.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))) (sqrt.f64 (cos.f64 x))))

Outputs

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

#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))) (sqrt.f64 (cos.f64 x))))

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

Calls

2 calls:

10.0ms	x
7.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
61.8%	3	`x`
60.7%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 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 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 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 (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #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))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) 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)))
#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) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) x))) (sqrt.f64 (cos.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))

Outputs

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

#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) x))) (sqrt.f64 (cos.f64 x))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
61.8%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-20.6MiB live, 18.7MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
61.6%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
26.8%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
27.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

-35.0MiB live, 10.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
24.3%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
26.3%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0%)

Memory

8.7MiB live, 8.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
23.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
25.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
23.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
23.7%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos 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
22.7%	1	`x`
22.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch74.0ms (0.7%)

Memory

9.5MiB live, 127.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.6849058675795824e-9	630140257246.3887
49.0ms	-2.4942600632093717e-307	6.703075575182894e-308

Samples

42.0ms	112×	2	valid
11.0ms	101×	0	invalid
5.0ms	16×	1	valid
2.0ms	16×	0	valid

Compiler

Compiled 399 to 337 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-exp: 21.0ms (40.9% of total)

ival-fmod: 11.0ms (21.4% of total)

ival-cos: 8.0ms (15.6% of total)

adjust: 4.0ms (7.8% of total)

ival-sqrt: 4.0ms (7.8% of total)

ival-mult: 2.0ms (3.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

bsearch19.0ms (0.2%)

Memory

-10.8MiB live, 30.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.6849058675795824e-9	630140257246.3887
1.0ms	-2.4942600632093717e-307	6.703075575182894e-308

Samples

11.0ms

101×

invalid

Compiler

Compiled 381 to 328 computations (13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (37.1% of total)

ival-exp: 2.0ms (24.8% of total)

ival-sqrt: 1.0ms (12.4% of total)

ival-fmod: 1.0ms (12.4% of total)

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

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

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

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

bsearch17.0ms (0.2%)

Memory

-10.4MiB live, 28.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.6849058675795824e-9	630140257246.3887
1.0ms	-2.4942600632093717e-307	6.703075575182894e-308

Samples

12.0ms

101×

invalid

Compiler

Compiled 201 to 202 computations (-0.5% saved)

Precisions

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

ival-cos: 5.0ms (52.1% of total)

ival-exp: 2.0ms (20.8% of total)

ival-sqrt: 1.0ms (10.4% of total)

ival-fmod: 1.0ms (10.4% of total)

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

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

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

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

bsearch16.0ms (0.2%)

Memory

-11.3MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
15.0ms	1.6849058675795824e-9	630140257246.3887

Samples

12.0ms

101×

invalid

Compiler

Compiled 47 to 48 computations (-2.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 4.0ms (43.4% of total)

ival-exp: 2.0ms (21.7% of total)

ival-sqrt: 1.0ms (10.9% of total)

ival-fmod: 1.0ms (10.9% of total)

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

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

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

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

bsearch19.0ms (0.2%)

Memory

34.1MiB live, 34.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-5.845902157136527	-0.006377724587716473

Samples

12.0ms

128×

valid

Compiler

Compiled 197 to 172 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-fmod: 3.0ms (31.9% of total)

ival-exp: 2.0ms (21.2% of total)

ival-cos: 2.0ms (21.2% of total)

ival-mult: 1.0ms (10.6% of total)

ival-sqrt: 1.0ms (10.6% of total)

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

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

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

bsearch10.0ms (0.1%)

Memory

-24.5MiB live, 14.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-5.845902157136527	-0.006377724587716473

Samples

5.0ms

48×

valid

Compiler

Compiled 165 to 164 computations (0.6% saved)

Precisions

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

ival-exp: 1.0ms (28.7% of total)

ival-cos: 1.0ms (28.7% of total)

ival-fmod: 1.0ms (28.7% of total)

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

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

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

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

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

simplify43.0ms (0.4%)

Memory

19.2MiB live, 64.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
10×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	510
1	106	510
2	112	510
3	115	510
4	117	510

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))

Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (hypot.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 50 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) #s(approx ( (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))

soundness1.7s (17.4%)

Memory

12.3MiB live, 995.5MiB allocated

Rules

20 372×	`lower-fma.f64`
20 372×	`lower-fma.f32`
18 028×	`lower-fma.f64`
18 028×	`lower-fma.f32`
15 246×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1766
1	205	1642
2	441	1577
3	1578	1542
4	4580	1542
5	7843	1542
0	8077	1443
0	94	1621
1	231	1504
2	523	1435
3	1295	1400
4	2659	1400
5	5606	1400
0	8202	1318
0	43	265
0	64	265
1	127	261
2	631	261
3	5971	259
0	8981	259
0	105	1203
1	276	1110
2	717	1058
3	2531	1050
4	6052	1050
0	8055	997
0	76	401
1	181	380
2	413	368
3	1050	358
4	1888	358
5	3537	358
6	4860	358
7	6181	358
8	7674	358
0	8041	336

Stop Event

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

Compiler

Compiled 465 to 301 computations (35.3% saved)

preprocess57.0ms (0.6%)

Memory: 11.3MiB live, 87.8MiB allocated
Compiler: Compiled 490 to 176 computations (64.1% 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	23	124
0	36	124
1	45	124
2	61	121
3	71	121
4	78	121
5	84	121
6	91	121
7	103	121
8	106	121
0	106	121

Iter	Nodes	Cost
0	31	227
0	49	227
1	63	227
2	85	223
3	117	223
4	157	223
5	179	223
6	233	223
7	314	223
8	374	223
9	455	223
10	545	223
11	638	223
12	677	223
13	681	223
0	681	223

Iter	Nodes	Cost
0	43	323
0	64	323
1	82	323
2	107	319
3	138	319
4	186	319
5	209	319
6	271	319
7	360	319
8	421	319
9	502	319
10	592	319
11	718	319
12	831	319
13	850	319
14	864	319
15	879	319
16	885	319
0	885	319

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	23	124
0	36	124
1	45	124
2	61	121
3	71	121
4	78	121
5	84	121
6	91	121
7	103	121
8	106	121
0	106	121

Iter	Nodes	Cost
0	31	227
0	49	227
1	63	227
2	85	223
3	117	223
4	157	223
5	179	223
6	233	223
7	314	223
8	374	223
9	455	223
10	545	223
11	638	223
12	677	223
13	681	223
0	681	223

Iter	Nodes	Cost
0	43	323
0	64	323
1	82	323
2	107	319
3	138	319
4	186	319
5	209	319
6	271	319
7	360	319
8	421	319
9	502	319
10	592	319
11	718	319
12	831	319
13	850	319
14	864	319
15	879	319
16	885	319
0	885	319

start0.0ms (0%)

analyze188.0ms (1.9%)

sample4.8s (48.3%)

explain222.0ms (2.2%)

preprocess20.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0%)

localize96.0ms (1%)

series3.0ms (0%)

simplify282.0ms (2.8%)

rewrite56.0ms (0.6%)

eval37.0ms (0.4%)

prune6.0ms (0.1%)

simplify7.0ms (0.1%)

localize113.0ms (1.1%)

series6.0ms (0.1%)

simplify240.0ms (2.4%)

rewrite82.0ms (0.8%)

eval79.0ms (0.8%)

prune25.0ms (0.3%)

simplify59.0ms (0.6%)

localize125.0ms (1.3%)

series9.0ms (0.1%)

simplify197.0ms (2%)

rewrite208.0ms (2.1%)

eval109.0ms (1.1%)

prune35.0ms (0.4%)

simplify53.0ms (0.5%)

localize138.0ms (1.4%)

series10.0ms (0.1%)

simplify319.0ms (3.2%)

rewrite231.0ms (2.3%)

eval88.0ms (0.9%)

prune24.0ms (0.2%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch74.0ms (0.7%)

bsearch19.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch10.0ms (0.1%)

simplify43.0ms (0.4%)

soundness1.7s (17.4%)

preprocess57.0ms (0.6%)

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	23	124
0	36	124
1	45	124
2	61	121
3	71	121
4	78	121
5	84	121
6	91	121
7	103	121
8	106	121
0	106	121

Iter	Nodes	Cost
0	31	227
0	49	227
1	63	227
2	85	223
3	117	223
4	157	223
5	179	223
6	233	223
7	314	223
8	374	223
9	455	223
10	545	223
11	638	223
12	677	223
13	681	223
0	681	223

Iter	Nodes	Cost
0	43	323
0	64	323
1	82	323
2	107	319
3	138	319
4	186	319
5	209	319
6	271	319
7	360	319
8	421	319
9	502	319
10	592	319
11	718	319
12	831	319
13	850	319
14	864	319
15	879	319
16	885	319
0	885	319