Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample4.5s (41.2%)

Memory

23.7MiB live, 3 063.2MiB allocated

Samples

3.4s	5 649×	2	valid
572.0ms	2 421×	1	valid
13.0ms	186×	0	valid

Precisions

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

ival-exp: 2.6s (72.6% of total)

adjust: 355.0ms (10% of total)

ival-sub: 318.0ms (8.9% of total)

ival-add: 102.0ms (2.9% of total)

ival-<=: 99.0ms (2.8% of total)

ival-fabs: 57.0ms (1.6% of total)

ival-neg: 32.0ms (0.9% of total)

exact: 10.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain251.0ms (2.3%)

Memory

-17.2MiB live, 400.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
139	1	(8.20333038076383e-162)	1	(0.12182197280631023)	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	139	1

Confusion

	Predicted +	Predicted -
+	138	1
-	1	116

Precision

0.9928057553956835

Recall

0.9928057553956835

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	1	0
-	1	1	115

Precision?

0.9858156028368794

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

138.0ms	336×	2	valid
30.0ms	164×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-exp: 105.0ms (76.5% of total)

adjust: 16.0ms (11.7% of total)

ival-sub: 7.0ms (5.1% of total)

ival-add: 6.0ms (4.4% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess28.0ms (0.3%)

Memory

3.4MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify11.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize136.0ms (1.2%)

Memory

-14.3MiB live, 101.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	31.468129403623568	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

69.0ms	168×	2	valid
12.0ms	82×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-exp: 47.0ms (68.6% of total)

ival-sub: 9.0ms (13.1% of total)

adjust: 8.0ms (11.7% of total)

ival-add: 3.0ms (4.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

4 → 21

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

Time

Variable

Point

Expression

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

simplify252.0ms (2.3%)

Memory

26.0MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	168	159
2	397	153
3	1060	153
4	1762	153
5	3034	153
6	3863	153
7	5255	153
8	6661	153
0	8428	132

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
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 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite140.0ms (1.3%)

Memory

1.6MiB live, 195.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6874	15
0	8346	14

Stop Event

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

Counts

4 → 237

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))) (.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x))))
(.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))))
(.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(fma.f64 (exp.f64 x) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (exp.f64 x))))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))

eval47.0ms (0.4%)

Memory: -20.3MiB live, 67.6MiB allocated
Compiler: Compiled 6 353 to 791 computations (87.5% saved)

prune10.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	246	10	256
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	11	257

Accuracy

100.0%

Counts

257 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
	50.8%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	51.0%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
▶	50.8%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
	51.0%	(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
	50.8%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	51.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	50.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
▶	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 376 to 263 computations (30.1% saved)

simplify84.0ms (0.8%)

Memory

-3.0MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
cost-diff	1	(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff	5	(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
cost-diff	1	(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
cost-diff	3	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	237
0	58	227
1	107	218
2	197	210
3	526	201
4	1907	199
5	6972	199
0	8238	194

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(literal 4 binary64)
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (cosh.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 4 binary64))

localize346.0ms (3.1%)

Memory

18.9MiB live, 407.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
accuracy	0.017910009768442016	(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
accuracy	0.140625	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
accuracy	31.528371026766536	(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
accuracy	2.9926957404070835	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
accuracy	28.8137019994682	(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
accuracy	31.485933100961	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.6612824402820263	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.9533153719102126	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy	0.5270789697837925	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))

Samples

228.0ms	168×	2	valid
79.0ms	82×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 223 to 39 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

ival-cosh: 64.0ms (24.4% of total)

ival-exp: 55.0ms (21% of total)

adjust: 31.0ms (11.8% of total)

ival-pow: 30.0ms (11.4% of total)

ival-mult: 23.0ms (8.8% of total)

ival-add: 17.0ms (6.5% of total)

ival-div: 15.0ms (5.7% of total)

ival-log: 10.0ms (3.8% of total)

ival-sub: 7.0ms (2.7% of total)

const: 7.0ms (2.7% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series96.0ms (0.9%)

Memory

3.8MiB live, 77.2MiB allocated

Counts

19 → 54

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
(pow x 4)
(* 2 (log x))
(+ (* 1/12 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* -1/1440 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/90720 (pow x 2)) 1/1440)))))
(* -2 (log x))
(+ (* -2 (log x)) (* -1/12 (pow x 2)))
(+ (* -2 (log x)) (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/12)))
(+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/90720 (pow x 2)))) 1/12)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
4
(+ 4 (* 2 (pow x 2)))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
8
(+ 8 (* 2 (pow x 2)))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(+ 8 (* 12 (pow x 2)))
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* -1 (log (/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(log (/ 1 (- (+ (exp x) (/ 1 (exp x))) 2)))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time	Variable		Point	Expression
56.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* (pow x 4) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (pow x 4) (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1) (exp (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1)) (log (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) -2) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))
36.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* (pow x 4) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (pow x 4) (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1) (exp (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1)) (log (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) -2) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))
4.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* (pow x 4) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (pow x 4) (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1) (exp (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1)) (log (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) -2) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))

Time

Variable

Point

Expression

56.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* (pow x 4) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (pow x 4) (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1) (exp (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1)) (log (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) -2) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))

36.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* (pow x 4) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (pow x 4) (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1) (exp (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1)) (log (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) -2) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))

4.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* (pow x 4) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (pow x 4) (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1) (exp (* (log (/ 1 (+ (* 2 (cosh x)) -2))) -1)) (log (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) -2) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))

simplify250.0ms (2.3%)

Memory

-18.3MiB live, 221.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	624
1	443	618
2	1167	608
3	3127	608
4	5542	608
5	6638	608
0	8171	547

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
(pow x 4)
(* 2 (log x))
(+ (* 1/12 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* -1/1440 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/90720 (pow x 2)) 1/1440)))))
(* -2 (log x))
(+ (* -2 (log x)) (* -1/12 (pow x 2)))
(+ (* -2 (log x)) (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/12)))
(+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/90720 (pow x 2)))) 1/12)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
4
(+ 4 (* 2 (pow x 2)))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
8
(+ 8 (* 2 (pow x 2)))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(+ 8 (* 12 (pow x 2)))
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* -1 (log (/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(log (/ 1 (- (+ (exp x) (/ 1 (exp x))) 2)))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* 1/12 (pow x 2)) (* 2 (log x)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* -1/1440 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/90720 (pow x 2)) 1/1440)))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x (.f64 (log.f64 x) #s(literal 2 binary64)))
(* -2 (log x))
(*.f64 #s(literal -2 binary64) (log.f64 x))
(+ (* -2 (log x)) (* -1/12 (pow x 2)))
(fma.f64 #s(literal -1/12 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (log.f64 x)))
(+ (* -2 (log x)) (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/12)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/12 binary64)) x) x (*.f64 #s(literal -2 binary64) (log.f64 x)))
(+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/90720 (pow x 2)))) 1/12)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/90720 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal -1/12 binary64)) x) x (.f64 #s(literal -2 binary64) (log.f64 x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) #s(literal 6 binary64)) (.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64))
(* 12 (pow x 2))
(.f64 #s(literal 12 binary64) (.f64 x x))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (.f64 x x) #s(literal 7 binary64)) (.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (.f64 x x) #s(literal 61/30 binary64)) (.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
8
#s(literal 8 binary64)
(+ 8 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64))
(+ 8 (* 12 (pow x 2)))
(fma.f64 #s(literal 12 binary64) (*.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7 binary64) (.f64 x x) #s(literal 12 binary64)) (.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (.f64 x x) #s(literal 7 binary64)) (.f64 x x) #s(literal 12 binary64)) (*.f64 x x) #s(literal 8 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* -1 (log (/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))))
(log.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(log (/ 1 (- (+ (exp x) (/ 1 (exp x))) 2)))
(neg.f64 (log.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(* 2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

rewrite176.0ms (1.6%)

Memory

33.1MiB live, 255.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	193
0	58	181
1	238	163
2	1728	161
0	8263	154

Stop Event

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

Counts

19 → 844

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) #s(literal 3 binary64)) (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))))
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(/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64))
(exp.f64 (fma.f64 (log.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64) (.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))

eval101.0ms (0.9%)

Memory: 21.8MiB live, 180.6MiB allocated
Compiler: Compiled 24 720 to 2 585 computations (89.5% saved)

prune56.0ms (0.5%)

Memory

-26.3MiB live, 60.2MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	755	10	765
Fresh	3	2	5
Picked	4	1	5
Done	1	0	1
Total	763	13	776

Accuracy

100.0%

Counts

776 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(fma.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
▶	6.3%	(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
▶	50.8%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	50.8%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))
	50.8%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
	51.0%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	50.8%	(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))))
▶	50.8%	(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
▶	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 486 to 309 computations (36.4% saved)

simplify105.0ms (1%)

Memory

-17.2MiB live, 102.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
cost-diff	1	(neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))
cost-diff	1	(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
cost-diff	2	(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
cost-diff	4	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
cost-diff	4	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	202
0	59	200
1	104	192
2	191	184
3	366	176
4	655	176
5	1014	176
6	1609	176
7	2485	176
8	5350	176
0	8056	172

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(fma.f64 x x (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(exp.f64 x)
x
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
#s(literal -1 binary64)
#s(literal -2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x)))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(literal 1/12 binary64)
(fma.f64 x x (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(literal 1/12 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(exp.f64 x)
x
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -1 binary64)
#s(literal -2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize326.0ms (3%)

Memory

50.0MiB live, 355.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
accuracy	0.0078125	(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))
accuracy	60.027789459214674	(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
accuracy	0.0	(cosh.f64 x)
accuracy	2.9926957404070835	(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
accuracy	28.080236545201807	(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
accuracy	31.485933100961	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0.0	(cosh.f64 x)
accuracy	31.485933100961	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
accuracy	0.18359375	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.6612824402820263	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
accuracy	0.00390625	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
accuracy	0.0390625	(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
accuracy	0.18359375	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.5270789697837925	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))

Samples

232.0ms	168×	2	valid
50.0ms	82×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 188 to 37 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-exp: 76.0ms (31% of total)

ival-cosh: 45.0ms (18.3% of total)

ival-mult: 33.0ms (13.5% of total)

adjust: 30.0ms (12.2% of total)

ival-add: 25.0ms (10.2% of total)

ival-log: 12.0ms (4.9% of total)

const: 8.0ms (3.3% of total)

ival-div: 5.0ms (2% of total)

ival-sub: 4.0ms (1.6% of total)

ival-neg: 4.0ms (1.6% of total)

ival-pow: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series100.0ms (0.9%)

Memory

-19.9MiB live, 87.5MiB allocated

Counts

16 → 44

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 2 (log x))
(+ (* 1/12 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* -1/1440 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/90720 (pow x 2)) 1/1440)))))
3
(+ 3 (* -2 x))
(+ 3 (* x (- (* -2 x) 2)))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
-3
(- (* -1 x) 3)
(- (* x (- (* -1/2 x) 1)) 3)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
(- (* 2 x) 3)
(- (* x (+ 2 (* 2 x))) 3)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(* 1/360 (pow x 6))
-1/3
(- (* 1/9 x) 1/3)
(- (* x (+ 1/9 (* 1/54 x))) 1/3)
(- (* x (+ 1/9 (* x (+ 1/54 (* -1/162 x))))) 1/3)
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(log (- (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp (neg x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(- 4 (pow (exp x) 2))
(- (* -1 (exp x)) 2)
(- (pow (exp x) 2) 4)
(/ 1 (- (* -1 (exp x)) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp (* -1 x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

52.0ms

-inf

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* 1/360 (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (cosh x) 2) -2) (cosh x) (exp (log (+ (* (cosh x) 2) -2))) (log (+ (* (cosh x) 2) -2)) (+ (* (neg (+ (* (exp x) (exp x)) -4)) (/ 1 (+ (* -1 (exp x)) -2))) (exp (neg x))) (neg (+ (* (exp x) (exp x)) -4)) (+ (* -1 (exp x)) -2) (+ (* (exp x) (exp x)) -4) (* 1/360 (pow x 6)) (/ 1 (+ (* -1 (exp x)) -2)))

21.0ms

inf

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* 1/360 (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (cosh x) 2) -2) (cosh x) (exp (log (+ (* (cosh x) 2) -2))) (log (+ (* (cosh x) 2) -2)) (+ (* (neg (+ (* (exp x) (exp x)) -4)) (/ 1 (+ (* -1 (exp x)) -2))) (exp (neg x))) (neg (+ (* (exp x) (exp x)) -4)) (+ (* -1 (exp x)) -2) (+ (* (exp x) (exp x)) -4) (* 1/360 (pow x 6)) (/ 1 (+ (* -1 (exp x)) -2)))

3.0ms

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* 1/360 (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (cosh x) 2) -2) (cosh x) (exp (log (+ (* (cosh x) 2) -2))) (log (+ (* (cosh x) 2) -2)) (+ (* (neg (+ (* (exp x) (exp x)) -4)) (/ 1 (+ (* -1 (exp x)) -2))) (exp (neg x))) (neg (+ (* (exp x) (exp x)) -4)) (+ (* -1 (exp x)) -2) (+ (* (exp x) (exp x)) -4) (* 1/360 (pow x 6)) (/ 1 (+ (* -1 (exp x)) -2)))

simplify233.0ms (2.1%)

Memory

18.3MiB live, 262.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	419
1	400	419
2	886	402
3	2017	402
4	3193	402
5	5242	402
6	7481	402
0	8320	357

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 2 (log x))
(+ (* 1/12 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* -1/1440 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/90720 (pow x 2)) 1/1440)))))
3
(+ 3 (* -2 x))
(+ 3 (* x (- (* -2 x) 2)))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
-3
(- (* -1 x) 3)
(- (* x (- (* -1/2 x) 1)) 3)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
(- (* 2 x) 3)
(- (* x (+ 2 (* 2 x))) 3)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(* 1/360 (pow x 6))
-1/3
(- (* 1/9 x) 1/3)
(- (* x (+ 1/9 (* 1/54 x))) 1/3)
(- (* x (+ 1/9 (* x (+ 1/54 (* -1/162 x))))) 1/3)
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(log (- (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp (neg x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(- 4 (pow (exp x) 2))
(- (* -1 (exp x)) 2)
(- (pow (exp x) 2) 4)
(/ 1 (- (* -1 (exp x)) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp (* -1 x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 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) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 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))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* 1/12 (pow x 2)) (* 2 (log x)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* -1/1440 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/90720 (pow x 2)) 1/1440)))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x (.f64 (log.f64 x) #s(literal 2 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* -2 x) 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal 3 binary64))
-3
#s(literal -3 binary64)
(- (* -1 x) 3)
(-.f64 #s(literal -3 binary64) x)
(- (* x (- (* -1/2 x) 1)) 3)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64))
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
(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 -3 binary64))
(- (* 2 x) 3)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(- (* x (+ 2 (* 2 x))) 3)
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal -3 binary64))
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal -3 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/9 x) 1/3)
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64))
(- (* x (+ 1/9 (* 1/54 x))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/54 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64))
(- (* x (+ 1/9 (* x (+ 1/54 (* -1/162 x))))) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/162 binary64) x #s(literal 1/54 binary64)) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(log (- (+ (exp x) (/ 1 (exp x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(- (+ (exp (neg x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- 4 (pow (exp x) 2))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(- (* -1 (exp x)) 2)
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(- (pow (exp x) 2) 4)
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(/ 1 (- (* -1 (exp x)) 2))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp (* -1 x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))

rewrite180.0ms (1.6%)

Memory

0.5MiB live, 279.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
0	59	149
1	223	120
2	1737	120
0	8540	116

Stop Event

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

Counts

16 → 685

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64) (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (-.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))))
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(/.f64 (neg.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (exp.f64 x) #s(literal -4 binary64))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -4 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -4 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(fma.f64 (exp.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) #s(literal -4 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal -1 binary64)))

eval169.0ms (1.5%)

Memory: 13.6MiB live, 209.3MiB allocated
Compiler: Compiled 21 904 to 2 429 computations (88.9% saved)

prune89.0ms (0.8%)

Memory

-19.5MiB live, 55.1MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	755	6	761
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	757	17	774

Accuracy

100.0%

Counts

774 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(fma.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
▶	6.3%	(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
✓	50.8%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	50.0%	(fma.f64 #s(approx (cosh x) (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))) #s(literal 2 binary64) #s(literal -2 binary64))
▶	49.9%	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
▶	49.7%	(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
	50.8%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))
	50.8%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
	51.0%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	50.8%	(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))))
✓	50.8%	(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
✓	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 571 to 382 computations (33.1% saved)

simplify231.0ms (2.1%)

Memory

14.0MiB live, 94.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
cost-diff	1	(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
cost-diff	2	(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	259
0	76	255
1	135	251
2	222	251
3	405	251
4	694	251
5	992	251
6	1738	251
7	2685	251
8	3299	251
9	4051	251
10	5352	251
11	6565	251
12	6940	251
13	7199	251
14	7400	251
15	7621	251
0	8069	251

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/360 binary64)
(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
#s(literal -1 binary64)
#s(literal -2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/360 binary64)
(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -1 binary64)
#s(literal -2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize856.0ms (7.8%)

Memory

-7.7MiB live, 343.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))
accuracy	0.0234375	(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy	0.03515625	(pow.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	60.027789459214674	(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
accuracy	0.01171875	(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
accuracy	0.0390625	(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
accuracy	0.34765625	(*.f64 #s(literal 1/12 binary64) x)
accuracy	0.5270789697837925	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.5550784217221896	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	31.485933100961	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.6988373625578979	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.485933100961	(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
accuracy	0.5270789697837925	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))

Samples

733.0ms	168×	2	valid
74.0ms	82×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 209 to 47 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 640.0ms

ival-exp: 162.0ms (25.3% of total)

ival-sub: 149.0ms (23.3% of total)

ival-mult: 129.0ms (20.2% of total)

adjust: 94.0ms (14.7% of total)

ival-cosh: 48.0ms (7.5% of total)

ival-add: 25.0ms (3.9% of total)

const: 14.0ms (2.2% of total)

ival-pow2: 6.0ms (0.9% of total)

ival-pow: 6.0ms (0.9% of total)

ival-div: 5.0ms (0.8% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series11.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

22 → 54

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
-3
(- (* -1 x) 3)
(- (* x (- (* -1/2 x) 1)) 3)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
3
(+ 3 (* -2 x))
(+ 3 (* x (- (* -2 x) 2)))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(* 1/360 (pow x 6))
-1/3
(- (* 1/9 x) 1/3)
(- (* x (+ 1/9 (* 1/54 x))) 1/3)
(- (* x (+ 1/9 (* x (+ 1/54 (* -1/162 x))))) 1/3)
(- (+ (exp x) (exp (neg x))) 2)
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp (neg x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(- (* -1 (exp x)) 2)
(- 4 (pow (exp x) 2))
(pow (exp x) 2)
(/ 1 (- (* -1 (exp x)) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp (* -1 x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) (+ (* 1/360 (* x x)) 1/12)) (* x x)) (pow x 4) (+ (* 1/360 (* x x)) 1/12) (+ (* (cosh x) 2) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) 1/360)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (+ (* (- 4 (pow (exp x) 2)) (/ 1 (+ (* -1 (exp x)) -2))) (exp (neg x))) (+ (* -1 (exp x)) -2) (- 4 (pow (exp x) 2)) (pow (exp x) 2) (* (pow x 6) 1/360) (/ 1 (+ (* -1 (exp x)) -2)))

4.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) (+ (* 1/360 (* x x)) 1/12)) (* x x)) (pow x 4) (+ (* 1/360 (* x x)) 1/12) (+ (* (cosh x) 2) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) 1/360)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (+ (* (- 4 (pow (exp x) 2)) (/ 1 (+ (* -1 (exp x)) -2))) (exp (neg x))) (+ (* -1 (exp x)) -2) (- 4 (pow (exp x) 2)) (pow (exp x) 2) (* (pow x 6) 1/360) (/ 1 (+ (* -1 (exp x)) -2)))

3.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) (+ (* 1/360 (* x x)) 1/12)) (* x x)) (pow x 4) (+ (* 1/360 (* x x)) 1/12) (+ (* (cosh x) 2) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) 1/360)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (+ (* (- 4 (pow (exp x) 2)) (/ 1 (+ (* -1 (exp x)) -2))) (exp (neg x))) (+ (* -1 (exp x)) -2) (- 4 (pow (exp x) 2)) (pow (exp x) 2) (* (pow x 6) 1/360) (/ 1 (+ (* -1 (exp x)) -2)))

simplify472.0ms (4.3%)

Memory

-0.4MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	441
1	404	441
2	894	426
3	2105	426
4	3522	426
5	6069	426
6	7614	426
0	8050	378

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
-3
(- (* -1 x) 3)
(- (* x (- (* -1/2 x) 1)) 3)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
3
(+ 3 (* -2 x))
(+ 3 (* x (- (* -2 x) 2)))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(* 1/360 (pow x 6))
-1/3
(- (* 1/9 x) 1/3)
(- (* x (+ 1/9 (* 1/54 x))) 1/3)
(- (* x (+ 1/9 (* x (+ 1/54 (* -1/162 x))))) 1/3)
(- (+ (exp x) (exp (neg x))) 2)
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp (neg x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(- (* -1 (exp x)) 2)
(- 4 (pow (exp x) 2))
(pow (exp x) 2)
(/ 1 (- (* -1 (exp x)) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp (* -1 x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 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) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
-3
#s(literal -3 binary64)
(- (* -1 x) 3)
(-.f64 #s(literal -3 binary64) x)
(- (* x (- (* -1/2 x) 1)) 3)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -3 binary64))
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
(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 -3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* -2 x) 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal 3 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/9 x) 1/3)
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/3 binary64))
(- (* x (+ 1/9 (* 1/54 x))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/54 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64))
(- (* x (+ 1/9 (* x (+ 1/54 (* -1/162 x))))) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/162 binary64) x #s(literal 1/54 binary64)) x #s(literal 1/9 binary64)) x #s(literal -1/3 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(- (+ (exp (neg x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(- (* -1 (exp x)) 2)
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(- 4 (pow (exp x) 2))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow (exp x) 2)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/ 1 (- (* -1 (exp x)) 2))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp (* -1 x)) (* 4 (/ 1 (- (* -1 (exp x)) 2)))) (/ (pow (exp x) 2) (- (* -1 (exp x)) 2)))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))))

rewrite275.0ms (2.5%)

Memory

1.0MiB live, 188.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	214
0	76	213
1	329	206
2	2480	206
0	8419	204

Stop Event

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

Counts

22 → 574

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))
(-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/360 binary64) x)) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)) (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
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(.f64 (exp.f64 x) (.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) x)) x)
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/360 binary64) x) (*.f64 x (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(.f64 (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal -1 binary64)))

eval128.0ms (1.2%)

Memory: -10.5MiB live, 198.1MiB allocated
Compiler: Compiled 20 847 to 2 323 computations (88.9% saved)

prune25.0ms (0.2%)

Memory

-7.0MiB live, 68.8MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	637	4	641
Fresh	2	5	7
Picked	3	2	5
Done	1	4	5
Total	643	15	658

Accuracy

100.0%

Counts

658 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(fma.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
	6.1%	(fma.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
✓	50.8%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
✓	49.9%	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
✓	49.7%	(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
	50.8%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
	50.9%	(/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (exp.f64 x) (.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal 16 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal 16 binary64)) (exp.f64 x)))
	51.0%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	50.8%	(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))))
✓	50.8%	(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)))
✓	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 933 to 353 computations (62.2% saved)

regimes20.0ms (0.2%)

Memory

6.0MiB live, 43.4MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x)))
(fma.f64 #s(approx (cosh x) (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))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (exp.f64 x) (.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal 16 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal 16 binary64)) (exp.f64 x)))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)))

Calls

2 calls:

11.0ms	x
7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x)))
(fma.f64 #s(approx (cosh x) (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))) #s(literal 2 binary64) #s(literal -2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x)))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes34.0ms (0.3%)

Memory

-24.8MiB live, 31.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))

Calls

2 calls:

32.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -31.3b remaining (-3278.7%)

Threshold costs -31.3b (-3278.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify77.0ms (0.7%)

Memory

-8.8MiB live, 66.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	110
1	40	110
2	56	110
3	88	110
4	157	110
5	329	110
6	755	110
7	1951	110
8	4161	110
9	7267	110

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

soundness1.1s (9.8%)

Memory

-23.2MiB live, 744.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	168	159
2	397	153
3	1060	153
4	1762	153
5	3034	153
6	3863	153
7	5255	153
8	6661	153
0	8428	132
0	37	193
0	58	181
1	238	163
2	1728	161
0	8263	154
0	35	152
0	59	149
1	223	120
2	1737	120
0	8540	116
0	166	624
1	443	618
2	1167	608
3	3127	608
4	5542	608
5	6638	608
0	8171	547
0	43	214
0	76	213
1	329	206
2	2480	206
0	8419	204

Stop Event

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

Compiler

Compiled 291 to 158 computations (45.7% saved)

preprocess54.0ms (0.5%)

Memory: 29.4MiB live, 66.9MiB allocated
Remove: (abs x)
Compiler: Compiled 322 to 124 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

start0.0ms (0%)

analyze0.0ms (0%)

sample4.5s (41.2%)

explain251.0ms (2.3%)

preprocess28.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.1%)

localize136.0ms (1.2%)

series1.0ms (0%)

simplify252.0ms (2.3%)

rewrite140.0ms (1.3%)

eval47.0ms (0.4%)

prune10.0ms (0.1%)

simplify84.0ms (0.8%)

localize346.0ms (3.1%)

series96.0ms (0.9%)

simplify250.0ms (2.3%)

rewrite176.0ms (1.6%)

eval101.0ms (0.9%)

prune56.0ms (0.5%)

simplify105.0ms (1%)

localize326.0ms (3%)

series100.0ms (0.9%)

simplify233.0ms (2.1%)

rewrite180.0ms (1.6%)

eval169.0ms (1.5%)

prune89.0ms (0.8%)

simplify231.0ms (2.1%)

localize856.0ms (7.8%)

series11.0ms (0.1%)

simplify472.0ms (4.3%)

rewrite275.0ms (2.5%)

eval128.0ms (1.2%)

prune25.0ms (0.2%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes34.0ms (0.3%)

regimes3.0ms (0%)

simplify77.0ms (0.7%)

soundness1.1s (9.8%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21