Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze264.0ms (3.7%)

Memory

16.3MiB live, 248.7MiB allocated; 37ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample5.0s (70.4%)

Memory

81.9MiB live, 4 110.9MiB allocated; 753ms collecting garbage

Samples

1.6s	1 637×	5	exit
1.2s	2 700×	2	valid
938.0ms	3 623×	1	valid
411.0ms	3 207×	0	invalid
228.0ms	1 933×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-cos: 1.4s (36.2% of total)

ival-fmod: 878.0ms (22.5% of total)

ival-exp: 720.0ms (18.4% of total)

adjust: 380.0ms (9.7% of total)

ival-sqrt: 289.0ms (7.4% of total)

ival-mult: 161.0ms (4.1% of total)

ival-neg: 59.0ms (1.5% of total)

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

Bogosity

explain633.0ms (8.9%)

Memory

-47.7MiB live, 306.9MiB allocated; 31ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
198	-	198	(-1.7714979865112938e-273)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
1	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`	*uo**	1	0
↳	`(exp.f64 x)`	underflow	1
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	1
↳	`(exp.f64 (neg.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	248
-	0	7

Precision

1.0

Recall

0.004016064257028112

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	247
-	0	0	7

Precision?

1.0

Recall?

0.008032128514056224

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

433.0ms	100×	5	exit
77.0ms	182×	2	valid
59.0ms	206×	1	valid
3.0ms	24×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 528.0ms

ival-cos: 396.0ms (74.9% of total)

ival-fmod: 43.0ms (8.1% of total)

ival-exp: 40.0ms (7.6% of total)

adjust: 21.0ms (4% of total)

ival-sqrt: 17.0ms (3.2% of total)

ival-mult: 7.0ms (1.3% of total)

ival-neg: 4.0ms (0.8% of total)

ival-true: 1.0ms (0.2% of total)

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

preprocess106.0ms (1.5%)

Memory

18.7MiB live, 63.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	47	31
2	103	30
3	344	30
4	2078	30
0	8	10
0	15	10
1	31	10
2	60	9
3	167	9
4	769	9
0	8458	9

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

series4.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Counts

8 → 30

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite162.0ms (2.3%)

Memory

-13.7MiB live, 82.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	450
0	133	443
1	636	419
0	5529	396

Stop Event

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

Counts

38 → 81

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

Outputs
(*.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)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
#s(approx (fmod (exp x) (sqrt (cos x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp 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)))
#s(approx x x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval8.0ms (0.1%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 319 to 303 computations (77% saved)

prune59.0ms (0.8%)

Memory

-0.7MiB live, 46.0MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Accuracy

26.6%

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (exp.f64 (neg.f64 x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))) (exp.f64 (neg.f64 x)))
▶	25.2%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 194 to 134 computations (30.9% saved)

series2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Counts

10 → 34

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x -1 (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

1.0ms

inf

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x -1 (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

0.0ms

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x -1 (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

rewrite160.0ms (2.2%)

Memory

4.6MiB live, 97.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	494
0	142	483
1	675	459
0	5908	436

Stop Event

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

Counts

44 → 107

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
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 (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
#s(approx (fmod (exp x) (sqrt (cos x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp 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)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval11.0ms (0.2%)

Memory: 8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 105 to 437 computations (79.2% saved)

prune122.0ms (1.7%)

Memory

-2.4MiB live, 97.7MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Accuracy

64.9%

Counts

112 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (exp.f64 (neg.f64 x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))) (exp.f64 (neg.f64 x)))
	24.9%	(.f64 (fmod.f64 #s(approx (exp x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.9%	(.f64 (fmod.f64 #s(approx (exp x) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	30.0%	(.f64 (fmod.f64 #s(approx (exp x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	54.4%	(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 338 to 240 computations (29% saved)

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

9 → 34

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

1.0ms

inf

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

0.0ms

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

rewrite160.0ms (2.2%)

Memory

-19.5MiB live, 73.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	501
0	140	490
1	673	466
0	5913	443

Stop Event

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

Counts

43 → 82

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
#s(approx (fmod (exp x) (sqrt (cos x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp 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)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.1%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 718 to 301 computations (82.5% saved)

prune40.0ms (0.6%)

Memory

-22.9MiB live, 29.6MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Accuracy

64.9%

Counts

90 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (exp.f64 (neg.f64 x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))) (exp.f64 (neg.f64 x)))
	24.9%	(.f64 (fmod.f64 #s(approx (exp x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.9%	(.f64 (fmod.f64 #s(approx (exp x) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	30.0%	(.f64 (fmod.f64 #s(approx (exp x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	35.5%	(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	6.2%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 342 to 244 computations (28.7% saved)

series2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Counts

9 → 33

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) (cos x) (exp (neg x)) 1)

1.0ms

inf

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) (cos x) (exp (neg x)) 1)

0.0ms

((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) (cos x) (exp (neg x)) 1)

rewrite167.0ms (2.3%)

Memory

5.0MiB live, 95.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	498
0	134	488
1	666	464
0	5891	441

Stop Event

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

Counts

42 → 52

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 075 to 199 computations (81.5% saved)

prune14.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Accuracy

65.0%

Counts

57 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.0%	(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (exp.f64 (neg.f64 x)))
	6.8%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (.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)))) (exp.f64 (neg.f64 x)))
	5.7%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	24.9%	(.f64 (fmod.f64 #s(approx (exp x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.9%	(.f64 (fmod.f64 #s(approx (exp x) (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	30.0%	(.f64 (fmod.f64 #s(approx (exp x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	35.5%	(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Compiler

Compiled 392 to 203 computations (48.2% saved)

regimes7.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total -38.2b remaining (-153.5%)

Threshold costs -38.2b (-153.5%)

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.0%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
61.1%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch61.0ms (0.9%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	-3.946444749409552e-306	3.580625089604209e-308

Samples

52.0ms

128×

valid

Compiler

Compiled 285 to 228 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 25.0ms (53% of total)

ival-fmod: 9.0ms (19.1% of total)

adjust: 5.0ms (10.6% of total)

ival-cos: 3.0ms (6.4% of total)

ival-sqrt: 3.0ms (6.4% of total)

ival-mult: 2.0ms (4.2% of total)

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

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

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

simplify44.0ms (0.6%)

Memory

-35.5MiB live, 11.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	38
1	30	38
2	41	38
3	66	38
4	190	38
5	1633	38
6	7520	38

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal -17393943643597/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))

Outputs

(if (<=.f64 x #s(literal -17393943643597/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))

derivations55.0ms (0.8%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 38 to 22 computations (42.1% saved)

preprocess14.0ms (0.2%)

Memory: 7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 96 to 60 computations (37.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze264.0ms (3.7%)

sample5.0s (70.4%)

explain633.0ms (8.9%)

preprocess106.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite162.0ms (2.3%)

eval8.0ms (0.1%)

prune59.0ms (0.8%)

series2.0ms (0%)

rewrite160.0ms (2.2%)

eval11.0ms (0.2%)

prune122.0ms (1.7%)

series2.0ms (0%)

rewrite160.0ms (2.2%)

eval9.0ms (0.1%)

prune40.0ms (0.6%)

series2.0ms (0%)

rewrite167.0ms (2.3%)

eval6.0ms (0.1%)

prune14.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch61.0ms (0.9%)

simplify44.0ms (0.6%)

derivations55.0ms (0.8%)

preprocess14.0ms (0.2%)

end0.0ms (0%)

Profiling