Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze244.0ms (2.7%)

Memory

22.1MiB live, 212.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample4.7s (51.5%)

Memory

76.9MiB live, 4 087.1MiB allocated

Samples

1.4s	1 534×	5	exit
1.1s	2 556×	2	valid
889.0ms	3 623×	1	valid
408.0ms	3 274×	0	invalid
212.0ms	2 077×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-cos: 1.3s (35.3% of total)

ival-fmod: 941.0ms (26.3% of total)

ival-exp: 616.0ms (17.2% of total)

adjust: 297.0ms (8.3% of total)

ival-sqrt: 236.0ms (6.6% of total)

ival-mult: 138.0ms (3.9% of total)

ival-neg: 66.0ms (1.8% of total)

ival-true: 11.0ms (0.3% of total)

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

Bogosity

explain276.0ms (3%)

Memory

-32.4MiB live, 185.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
202	-	202	(-4.4906756197117224e-114)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	254
-	0	2

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	254
-	0	0	2

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

70.0ms	246×	1	valid
65.0ms	146×	2	valid
14.0ms	104×	1	exit
2.0ms	16×	0	valid

Compiler

Compiled 101 to 36 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-exp: 48.0ms (37.5% of total)

ival-fmod: 30.0ms (23.5% of total)

ival-cos: 23.0ms (18% of total)

adjust: 11.0ms (8.6% of total)

ival-sqrt: 8.0ms (6.3% of total)

ival-mult: 5.0ms (3.9% of total)

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

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

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

preprocess16.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.7%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify41.0ms (0.5%)

Memory

-32.3MiB live, 4.2MiB 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)))

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)

localize84.0ms (0.9%)

Memory

28.6MiB live, 102.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

34.0ms	73×	2	valid
32.0ms	123×	1	valid
7.0ms	52×	1	exit
1.0ms	8×	0	valid

Compiler

Compiled 60 to 18 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-exp: 19.0ms (30.7% of total)

ival-cos: 15.0ms (24.3% of total)

ival-fmod: 14.0ms (22.6% of total)

adjust: 5.0ms (8.1% of total)

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

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

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

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

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

series2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

5 → 19

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

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))))

simplify171.0ms (1.9%)

Memory

1.7MiB live, 156.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	218
1	181	197
2	419	191
3	1049	181
4	1886	181
5	3809	181
6	5183	181
7	6526	181
0	8002	159

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

Inputs
(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 (* -1/4 (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 (* -1/2 (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 (* 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 x)
(sqrt (cos x))
(cos x)
(* (exp (neg 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
#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 (* -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 (* -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 (* 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))))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (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 (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

rewrite77.0ms (0.8%)

Memory

-11.6MiB live, 74.5MiB allocated

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	1990	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)))))

eval9.0ms (0.1%)

Memory: 13.3MiB live, 13.3MiB allocated
Compiler: Compiled 1 207 to 279 computations (76.9% saved)

prune2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Accuracy

25.0%

Counts

83 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	4.7%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	23.8%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Status

Accuracy

Program

▶

4.7%

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

▶

4.7%

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

▶

23.8%

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify23.0ms (0.3%)

Memory

-32.6MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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	(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
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	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	118
0	35	118
1	47	118
2	62	116
3	70	116
4	76	116
5	82	116
6	100	116
7	119	116
8	128	116
9	132	116
10	133	116
0	133	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize136.0ms (1.5%)

Memory

-2.4MiB live, 86.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(cos.f64 x)
accuracy	0.0078125	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.0	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	0.13515610336669776	#s(approx (exp x) #s(literal 1 binary64))
accuracy	48.02058846600045	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))

Samples

56.0ms	73×	2	valid
50.0ms	123×	1	valid
10.0ms	52×	1	exit
1.0ms	8×	0	valid

Compiler

Compiled 212 to 37 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-cos: 28.0ms (28.9% of total)

ival-div: 19.0ms (19.6% of total)

ival-exp: 16.0ms (16.5% of total)

ival-fmod: 14.0ms (14.5% of total)

adjust: 8.0ms (8.3% of total)

ival-mult: 6.0ms (6.2% of total)

ival-sqrt: 4.0ms (4.1% of total)

ival-add: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

12 → 24

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

simplify218.0ms (2.4%)

Memory

11.5MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	322
1	256	303
2	734	271
3	2641	248
4	6440	248
0	8205	222

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

rewrite219.0ms (2.4%)

Memory

2.4MiB live, 116.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	35	92
1	70	90
2	269	90
3	1848	90
0	8519	90

Stop Event

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

Counts

12 → 276

Calls

Call 1

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

Outputs
(*.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) (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))
(*.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 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (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 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(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 0 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 x)
(+.f64 #s(literal 0 binary64) (exp.f64 x))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal -1/262144 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 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 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x 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)))
(.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))
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(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x 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)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (exp.f64 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x 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)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))

eval71.0ms (0.8%)

Memory: 12.1MiB live, 48.3MiB allocated
Compiler: Compiled 9 134 to 1 371 computations (85% saved)

prune22.0ms (0.2%)

Memory

-18.0MiB live, 20.8MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	357	4	361
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	359	5	364

Accuracy

25.9%

Counts

364 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x))
✓	4.7%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	2.7%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
▶	23.8%	(.f64 (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)))) (exp.f64 (neg.f64 x)))
▶	4.7%	(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))

Compiler

Compiled 88 to 66 computations (25% saved)

simplify21.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x))
cost-diff	0	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
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	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff	320	(*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64))
cost-diff	5888	(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	259
0	53	259
1	69	257
2	99	254
3	137	252
4	209	252
5	284	252
6	353	252
7	408	252
8	554	252
9	585	252
10	601	252
11	620	252
12	627	252
0	627	252

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize517.0ms (5.7%)

Memory

-169.2MiB live, 157.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.0078125	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.0	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
accuracy	0.00390625	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
accuracy	49.64370927449248	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
accuracy	0.0	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 (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)))) (exp.f64 (neg.f64 x)))
accuracy	0.13515610336669776	#s(approx (exp x) #s(literal 1 binary64))
accuracy	48.02058846600045	(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	0.00390625	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	2.613069262580331	(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
accuracy	20.25498074449067	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

134.0ms	191×	1	valid
13.0ms	52×	1	exit
7.0ms	9×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 434 to 56 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-exp: 30.0ms (23.7% of total)

ival-log: 28.0ms (22.1% of total)

ival-cos: 26.0ms (20.5% of total)

ival-fmod: 13.0ms (10.3% of total)

adjust: 9.0ms (7.1% of total)

ival-mult: 8.0ms (6.3% of total)

ival-sqrt: 4.0ms (3.2% of total)

ival-div: 3.0ms (2.4% of total)

ival-sub: 2.0ms (1.6% of total)

ival-add: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (1.1%)

Memory

-8.4MiB live, 69.4MiB allocated

Counts

17 → 32

Calls

Call 1

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

Outputs
(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))))
(log (fmod (exp x) (sqrt (cos x))))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(* -1 (log (fmod (exp x) (sqrt (cos x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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)))
(+ (* 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))))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(* -1 x)
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
x
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

51.0ms

inf

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

28.0ms

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

19.0ms

-inf

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

simplify162.0ms (1.8%)

Memory

6.6MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	364
1	266	319
2	781	306
3	2686	287
4	7293	287
0	8050	267

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

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

rewrite189.0ms (2.1%)

Memory

30.3MiB live, 227.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	200
0	53	200
1	103	196
2	437	195
3	3402	195
0	8557	195

Stop Event

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

Counts

17 → 420

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))))
(*.f64 (pow.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 (neg.f64 x)) (/.f64 x (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 x x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (pow.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 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))))) (fma.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (.f64 x x)))
(pow.f64 (exp.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (*.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))))) (pow.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) #s(literal -1 binary64)))
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eval82.0ms (0.9%)

Memory: -8.9MiB live, 110.0MiB allocated
Compiler: Compiled 19 136 to 2 041 computations (89.3% saved)

prune19.0ms (0.2%)

Memory

-0.7MiB live, 37.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	584	11	595
Fresh	0	0	0
Picked	3	1	4
Done	1	0	1
Total	588	12	600

Accuracy

57.4%

Counts

600 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) #s(literal -1 binary64))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))))
▶	4.7%	(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
	0.5%	(pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (*.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
	0.5%	(pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
▶	4.7%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
	25.0%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	23.8%	(.f64 (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)))) (exp.f64 (neg.f64 x)))
▶	23.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
	4.7%	(exp.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64))))
	4.7%	(exp.f64 (.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
▶	56.4%	(exp.f64 #s(approx (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1) (neg.f64 x)))
▶	4.6%	#s(approx (exp (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

Compiler

Compiled 647 to 364 computations (43.7% saved)

simplify30.0ms (0.3%)

Memory

-15.7MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 #s(literal -1 binary64))
cost-diff	0	(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))
cost-diff	6720	(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
cost-diff	0	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff	0	(exp.f64 #s(literal -1 binary64))
cost-diff	12352	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff	0	#s(approx (exp (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 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(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1) (neg.f64 x))
cost-diff	0	(exp.f64 #s(approx (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1) (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	275
0	58	269
1	79	265
2	105	262
3	148	258
4	233	258
5	345	258
6	477	258
7	599	258
8	764	258
9	791	258
10	806	258
11	827	258
12	834	258
0	834	254

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize290.0ms (3.2%)

Memory

16.2MiB live, 288.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	2.7375701753741173	(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)))
accuracy	20.25498074449067	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.00390625	(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	2.7222427711480077	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
accuracy	20.25498074449067	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(cos.f64 x)
accuracy	0.145986934148287	#s(approx (exp (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	48.02058846600045	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.00390625	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	0.13515610336669776	#s(approx (exp x) #s(literal 1 binary64))
accuracy	48.02058846600045	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
accuracy	49.64370927449248	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	2.613069262580331	(exp.f64 #s(approx (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1) (neg.f64 x)))
accuracy	48.27527981904055	#s(approx (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1) (neg.f64 x))

Samples

207.0ms	191×	1	valid
42.0ms	52×	1	exit
8.0ms	9×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 485 to 68 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-pow: 66.0ms (31.7% of total)

ival-exp: 37.0ms (17.8% of total)

ival-cos: 24.0ms (11.5% of total)

ival-log: 24.0ms (11.5% of total)

ival-fmod: 15.0ms (7.2% of total)

adjust: 12.0ms (5.8% of total)

ival-mult: 11.0ms (5.3% of total)

ival-div: 10.0ms (4.8% of total)

ival-sqrt: 4.0ms (1.9% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

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

series30.0ms (0.3%)

Memory

2.9MiB live, 45.3MiB allocated

Counts

20 → 44

Calls

Call 1

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

Outputs
(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))))
(log (fmod (exp x) (sqrt (cos x))))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(* -1 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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 (log (fmod (exp x) (sqrt (cos x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
(* -1/2 (log (fmod (exp x) (sqrt (cos x)))))
(+ (* -1/2 (log (fmod (exp x) (sqrt (cos x))))) (* 1/2 x))
(exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2)))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* 1/2 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2))))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* x (+ (* 1/8 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 2)))) (* 1/2 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2)))))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* x (+ (* 1/2 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2)))) (* x (+ (* 1/48 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 3)))) (* 1/8 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 2))))))))
(+ 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)))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
x
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(exp (* 1/2 (* (log (pow (exp -1) 2)) (- x (log (fmod (exp x) (sqrt (cos x))))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(cos x)
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(* -1 (* x (- (* 1/2 (/ (log (fmod (exp x) (sqrt (cos x)))) x)) 1/2)))
(exp (* -1/2 (* (log (pow (exp -1) 2)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

inf

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

8.0ms

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

8.0ms

-inf

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

simplify178.0ms (2%)

Memory

15.7MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	489
1	366	438
2	975	418
3	2839	398
4	6603	398
0	8542	372

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

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))))
(log (fmod (exp x) (sqrt (cos x))))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(* -1 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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 (log (fmod (exp x) (sqrt (cos x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
(* -1/2 (log (fmod (exp x) (sqrt (cos x)))))
(+ (* -1/2 (log (fmod (exp x) (sqrt (cos x))))) (* 1/2 x))
(exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2)))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* 1/2 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2))))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* x (+ (* 1/8 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 2)))) (* 1/2 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2)))))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* x (+ (* 1/2 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2)))) (* x (+ (* 1/48 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 3)))) (* 1/8 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 2))))))))
(+ 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)))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
x
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(exp (* 1/2 (* (log (pow (exp -1) 2)) (- x (log (fmod (exp x) (sqrt (cos x))))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(cos x)
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(* -1 (* x (- (* 1/2 (/ (log (fmod (exp x) (sqrt (cos x)))) x)) 1/2)))
(exp (* -1/2 (* (log (pow (exp -1) 2)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(* -1 x)
(neg.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 (* -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 (log (fmod (exp x) (sqrt (cos x)))))
(neg.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(- x (log (fmod (exp x) (sqrt (cos x)))))
(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(* -1/2 (log (fmod (exp x) (sqrt (cos x)))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* -1/2 (log (fmod (exp x) (sqrt (cos x))))) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* 1/2 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* x (+ (* 1/8 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 2)))) (* 1/2 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2)))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (* x (+ (* 1/2 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (log (pow (exp -1) 2)))) (* x (+ (* 1/48 (* x (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 3)))) (* 1/8 (* (exp (* -1/2 (* (log (fmod (exp x) (sqrt (cos x)))) (log (pow (exp -1) 2))))) (pow (log (pow (exp -1) 2)) 2))))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(+ 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))
(exp (* -1 (- x (log (fmod (exp x) (sqrt (cos x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ (log (fmod (exp x) (sqrt (cos x)))) x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(exp (* 1/2 (* (log (pow (exp -1) 2)) (- x (log (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)
(exp (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (log (fmod (exp x) (sqrt (cos x)))) x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(* -1 (* x (- (/ (log (fmod (exp x) (sqrt (cos x)))) x) 1)))
(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(* -1 (* x (- (* 1/2 (/ (log (fmod (exp x) (sqrt (cos x)))) x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(exp (* -1/2 (* (log (pow (exp -1) 2)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 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))

rewrite210.0ms (2.3%)

Memory

-2.8MiB live, 233.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	208
0	58	200
1	129	194
2	587	186
3	5829	186
0	8250	182

Stop Event

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

Counts

20 → 889

Calls

Call 1

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

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

eval169.0ms (1.9%)

Memory: 16.5MiB live, 244.9MiB allocated
Compiler: Compiled 49 929 to 3 342 computations (93.3% saved)

prune46.0ms (0.5%)

Memory

-9.9MiB live, 76.5MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 211	5	1 216
Fresh	0	6	6
Picked	3	2	5
Done	0	1	1
Total	1 214	14	1 228

Accuracy

57.4%

Counts

1 228 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) #s(literal -1 binary64))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))))
	36.5%	(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
	0.5%	(pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (*.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
	0.5%	(pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
	4.7%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
	4.7%	(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
	25.0%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	23.8%	(.f64 (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)))) (exp.f64 (neg.f64 x)))
✓	23.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
	4.7%	(exp.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64))))
	4.7%	(exp.f64 (.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
✓	56.4%	(exp.f64 #s(approx (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1) (neg.f64 x)))
	4.6%	#s(approx (exp (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
	4.6%	#s(approx (exp (* (- x (log (fmod (exp x) (sqrt (cos x))))) -1)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))

Compiler

Compiled 950 to 364 computations (61.7% saved)

regimes70.0ms (0.8%)

Memory

-18.7MiB live, 18.8MiB allocated

Accuracy

Total -36.0b remaining (-129.2%)

Threshold costs -36b (-129.2%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	x
6.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	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)

simplify50.0ms (0.6%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	19	14
2	31	14
3	48	13
4	91	13
5	162	13
6	237	13
7	1370	13
8	4703	13
9	7058	13

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness620.0ms (6.8%)

Memory

-11.8MiB live, 143.9MiB allocated

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	1990	22
0	99	364
1	266	319
2	781	306
3	2686	287
4	7293	287
0	8050	267
0	21	92
0	35	92
1	70	90
2	269	90
3	1848	90
0	8519	90

Stop Event

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

Compiler

Compiled 58 to 35 computations (39.7% saved)

preprocess14.0ms (0.2%)

Memory: 21.6MiB live, 21.6MiB allocated
Compiler: Compiled 50 to 40 computations (20% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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	21	118
0	35	118
1	47	118
2	62	116
3	70	116
4	76	116
5	82	116
6	100	116
7	119	116
8	128	116
9	132	116
10	133	116
0	133	116

Iter	Nodes	Cost
0	33	259
0	53	259
1	69	257
2	99	254
3	137	252
4	209	252
5	284	252
6	353	252
7	408	252
8	554	252
9	585	252
10	601	252
11	620	252
12	627	252
0	627	252

Iter	Nodes	Cost
0	39	275
0	58	269
1	79	265
2	105	262
3	148	258
4	233	258
5	345	258
6	477	258
7	599	258
8	764	258
9	791	258
10	806	258
11	827	258
12	834	258
0	834	254

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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	21	118
0	35	118
1	47	118
2	62	116
3	70	116
4	76	116
5	82	116
6	100	116
7	119	116
8	128	116
9	132	116
10	133	116
0	133	116

Iter	Nodes	Cost
0	33	259
0	53	259
1	69	257
2	99	254
3	137	252
4	209	252
5	284	252
6	353	252
7	408	252
8	554	252
9	585	252
10	601	252
11	620	252
12	627	252
0	627	252

Iter	Nodes	Cost
0	39	275
0	58	269
1	79	265
2	105	262
3	148	258
4	233	258
5	345	258
6	477	258
7	599	258
8	764	258
9	791	258
10	806	258
11	827	258
12	834	258
0	834	254

start0.0ms (0%)

analyze244.0ms (2.7%)

sample4.7s (51.5%)

explain276.0ms (3%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify41.0ms (0.5%)

localize84.0ms (0.9%)

series2.0ms (0%)

simplify171.0ms (1.9%)

rewrite77.0ms (0.8%)

eval9.0ms (0.1%)

prune2.0ms (0%)

simplify23.0ms (0.3%)

localize136.0ms (1.5%)

series4.0ms (0%)

simplify218.0ms (2.4%)

rewrite219.0ms (2.4%)

eval71.0ms (0.8%)

prune22.0ms (0.2%)

simplify21.0ms (0.2%)

localize517.0ms (5.7%)

series99.0ms (1.1%)

simplify162.0ms (1.8%)

rewrite189.0ms (2.1%)

eval82.0ms (0.9%)

prune19.0ms (0.2%)

simplify30.0ms (0.3%)

localize290.0ms (3.2%)

series30.0ms (0.3%)

simplify178.0ms (2%)

rewrite210.0ms (2.3%)

eval169.0ms (1.9%)

prune46.0ms (0.5%)

regimes70.0ms (0.8%)

simplify50.0ms (0.6%)

soundness620.0ms (6.8%)

preprocess14.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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	21	118
0	35	118
1	47	118
2	62	116
3	70	116
4	76	116
5	82	116
6	100	116
7	119	116
8	128	116
9	132	116
10	133	116
0	133	116

Iter	Nodes	Cost
0	33	259
0	53	259
1	69	257
2	99	254
3	137	252
4	209	252
5	284	252
6	353	252
7	408	252
8	554	252
9	585	252
10	601	252
11	620	252
12	627	252
0	627	252

Iter	Nodes	Cost
0	39	275
0	58	269
1	79	265
2	105	262
3	148	258
4	233	258
5	345	258
6	477	258
7	599	258
8	764	258
9	791	258
10	806	258
11	827	258
12	834	258
0	834	254