Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.4%)

Memory

-38.4MiB live, 0.2MiB 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)

sample4.1s (40.2%)

Memory

79.0MiB live, 3 532.0MiB allocated

Samples

3.1s	5 661×	2	valid
422.0ms	2 400×	1	valid
12.0ms	195×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-exp: 2.4s (73% of total)

adjust: 301.0ms (9.3% of total)

ival-sub: 236.0ms (7.3% of total)

ival-add: 152.0ms (4.7% of total)

ival-fabs: 98.0ms (3% of total)

ival-neg: 56.0ms (1.7% of total)

ival-<=: 23.0ms (0.7% of total)

exact: 9.0ms (0.3% of total)

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

Bogosity

explain684.0ms (6.7%)

Memory

11.9MiB live, 212.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
118	1	(-2.8878378785287625e-162)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	1	(366.4075690462475)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	119	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	118	0
-	2	136

Precision

0.9833333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	2	0	136

Precision?

0.9833333333333333

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

567.0ms	364×	2	valid
20.0ms	140×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 75 to 32 computations (57.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 402.0ms

ival-exp: 338.0ms (84% of total)

ival-add: 38.0ms (9.4% of total)

adjust: 16.0ms (4% of total)

ival-sub: 7.0ms (1.7% of total)

ival-neg: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess147.0ms (1.4%)

Memory

-13.1MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify135.0ms (1.3%)

Memory

-24.3MiB live, 15.4MiB 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	273	21
7	329	21
8	382	21
9	384	21
0	384	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)

localize420.0ms (4.1%)

Memory

19.9MiB live, 98.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.0234375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	26.503235910725877	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

401.0ms	182×	2	valid
10.0ms	70×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-exp: 382.0ms (95.8% of total)

adjust: 8.0ms (2% of total)

ival-sub: 4.0ms (1% of total)

ival-add: 3.0ms (0.8% of total)

ival-neg: 1.0ms (0.3% 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

1.6MiB live, 1.6MiB 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)))

simplify191.0ms (1.9%)

Memory

-16.3MiB live, 99.7MiB 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	1759	153
5	3027	153
6	3849	153
7	5284	153
8	6683	153
0	8227	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))

rewrite274.0ms (2.7%)

Memory

6.2MiB live, 167.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14

Stop Event

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

Counts

4 → 245

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))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(*.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))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 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))) (pow.f64 (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))) #s(literal -1 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)))) (pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -1 binary64)))
(.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)))) (pow.f64 (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)))) #s(literal -1 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))) (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) #s(literal -1 binary64)))
(.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))) (pow.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) #s(literal -1 binary64)))
(.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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (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) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #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 3 binary64)) #s(literal 8 binary64)) (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 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 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))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.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 (neg.f64 (neg.f64 (exp.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))

eval120.0ms (1.2%)

Memory: 19.1MiB live, 56.2MiB allocated
Compiler: Compiled 6 532 to 798 computations (87.8% saved)

prune20.0ms (0.2%)

Memory

-25.5MiB live, 19.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	260	4	264
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	4	265

Accuracy

100.0%

Counts

265 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	99.6%	#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))))
▶	99.6%	#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)))
▶	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify106.0ms (1%)

Memory

11.2MiB live, 122.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
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))))
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))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	32	117
1	53	117
2	82	117
3	117	108
4	162	108
5	259	108
6	497	108
7	1041	108
8	3395	108
9	6954	108
0	8350	108

Stop Event

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

Calls

Call 1

Inputs
#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)
#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)
(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)

Outputs
#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)
#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)
(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)

localize214.0ms (2.1%)

Memory

-4.0MiB live, 263.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(cosh.f64 x)
accuracy	26.52982105984673	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(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	0.0078125	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.23798757442434265	#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))))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.2614752497891045	#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	(*.f64 x x)
accuracy	0.5719592869920639	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Samples

155.0ms	182×	2	valid
39.0ms	71×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 214 to 47 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-exp: 55.0ms (35.2% of total)

ival-cosh: 42.0ms (26.9% of total)

adjust: 21.0ms (13.4% of total)

ival-add: 10.0ms (6.4% of total)

ival-mult: 10.0ms (6.4% of total)

const: 6.0ms (3.8% of total)

ival-pow: 5.0ms (3.2% of total)

ival-sub: 4.0ms (2.6% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series10.0ms (0.1%)

Memory

-25.9MiB live, 12.3MiB allocated

Counts

10 → 19

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 2 (cosh x)) -2) (cosh x))
3.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 2 (cosh x)) -2) (cosh x))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 2 (cosh x)) -2) (cosh x))

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify132.0ms (1.3%)

Memory

6.7MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	181
1	191	181
2	463	171
3	1164	171
4	1820	171
5	2820	171
6	6002	171
7	7406	171
0	8042	155

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

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

rewrite151.0ms (1.5%)

Memory

28.4MiB live, 184.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	88
0	32	88
1	128	79
2	954	79
0	8347	79

Stop Event

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

Counts

10 → 298

Calls

Call 1

Inputs
#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)))
(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(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 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)

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

eval42.0ms (0.4%)

Memory: -8.9MiB live, 74.4MiB allocated
Compiler: Compiled 11 171 to 1 150 computations (89.7% saved)

prune10.0ms (0.1%)

Memory

-8.2MiB live, 31.2MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	367	7	374
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	369	9	378

Accuracy

100.0%

Counts

378 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	58.2%	(fma.f64 #s(literal 2 binary64) #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))
▶	58.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
	99.6%	#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)))
▶	99.6%	#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)))
	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 291 to 202 computations (30.6% saved)

simplify297.0ms (2.9%)

Memory

15.2MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #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))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
cost-diff	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)))
cost-diff	-5824	(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
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(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
cost-diff	320	(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.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	266
0	57	262
1	107	260
2	177	248
3	330	248
4	655	248
5	1034	248
6	1301	248
7	1690	248
8	2187	248
9	2437	248
10	2718	248
11	3440	248
12	5888	248
13	7201	248
14	7586	248
15	7668	248
16	7678	248
17	7678	248
18	7880	248
19	7890	248
20	7890	248
21	7890	248
0	8334	246

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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(literal 1 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)
(fma.f64 #s(literal 2 binary64) #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(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/12 binary64)
(fma.f64 #s(literal 2 binary64) #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 (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)))
(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))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)

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

localize270.0ms (2.6%)

Memory

20.9MiB live, 293.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.23798757442434265	#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)))
accuracy	26.52982105984673	(fma.f64 #s(literal 2 binary64) #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))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.127285009768442	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.2614752497891045	#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)))
accuracy	0	(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
accuracy	0.2614752497891045	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.2863329999561543	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	26.52982105984673	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.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	0.23798757442434265	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))

Samples

187.0ms	182×	2	valid
47.0ms	71×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 461 to 74 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-exp: 53.0ms (27.6% of total)

ival-cosh: 37.0ms (19.3% of total)

adjust: 31.0ms (16.2% of total)

ival-mult: 28.0ms (14.6% of total)

ival-add: 18.0ms (9.4% of total)

const: 15.0ms (7.8% of total)

ival-sub: 4.0ms (2.1% of total)

ival-pow: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series12.0ms (0.1%)

Memory

-21.0MiB live, 17.6MiB allocated

Counts

18 → 37

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 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(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #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(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)))
(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))
(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 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 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
(+ 1 (* 1/12 (pow x 2)))
(+ 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)))))))
(pow x 4)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/360 (pow x 6))
1/24
(+ 1/24 (* 1/720 (pow 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)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 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))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

((+ (* (+ (* 1/12 (* x x)) 1) (* x x)) (* 1/360 (pow x 6))) (+ (- (exp x) 2) (exp (neg x))) (+ (* 1/12 (* x x)) 1) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/360 (pow x 6)) (+ (* 1/720 (* x x)) 1/24))

4.0ms

inf

((+ (* (+ (* 1/12 (* x x)) 1) (* x x)) (* 1/360 (pow x 6))) (+ (- (exp x) 2) (exp (neg x))) (+ (* 1/12 (* x x)) 1) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/360 (pow x 6)) (+ (* 1/720 (* x x)) 1/24))

3.0ms

-inf

((+ (* (+ (* 1/12 (* x x)) 1) (* x x)) (* 1/360 (pow x 6))) (+ (- (exp x) 2) (exp (neg x))) (+ (* 1/12 (* x x)) 1) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/360 (pow x 6)) (+ (* 1/720 (* x x)) 1/24))

simplify144.0ms (1.4%)

Memory

7.5MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	331
1	273	331
2	663	321
3	1696	321
4	2899	321
5	5557	321
6	6438	321
0	8001	288

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

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

rewrite219.0ms (2.1%)

Memory

24.0MiB live, 257.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	223
0	57	217
1	248	205
2	1833	205
0	8254	202

Stop Event

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

Counts

18 → 337

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.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 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 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(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #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(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)))
(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))
(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 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

Outputs
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (.f64 x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64)))) #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

eval66.0ms (0.6%)

Memory: -36.5MiB live, 93.3MiB allocated
Compiler: Compiled 15 890 to 1 667 computations (89.5% saved)

prune12.0ms (0.1%)

Memory

32.0MiB live, 32.0MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	447	5	452
Fresh	1	1	2
Picked	2	3	5
Done	0	2	2
Total	450	11	461

Accuracy

100.0%

Counts

461 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	58.2%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
▶	57.3%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	58.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
▶	99.6%	#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)))
	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
▶	57.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
✓	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 354 to 250 computations (29.4% saved)

simplify342.0ms (3.3%)

Memory

-9.6MiB live, 113.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.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)) x)
cost-diff	0	(fma.f64 (.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)) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
cost-diff	0	(.f64 #s(literal 1/12 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
cost-diff	0	(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	48	408
0	77	405
1	136	405
2	224	405
3	421	402
4	805	402
5	1251	402
6	1639	402
7	2300	402
8	2807	402
9	3256	402
10	3709	402
11	4365	402
12	5414	402
13	5805	402
14	5912	402
15	5922	402
16	5929	402
17	6456	402
18	7533	402
19	7906	402
0	8026	399

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)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(.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)) x)
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)

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)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) 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)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.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)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(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))
(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)

localize432.0ms (4.2%)

Memory

-18.9MiB live, 454.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (.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)) x) x #s(literal 1 binary64))
accuracy	0.015625	(.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)) x)
accuracy	0.23798757442434265	#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
accuracy	26.52982105984673	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.23798757442434265	#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.34375	(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	26.52982105984673	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	61.212646535940635	#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
accuracy	0.0078125	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
accuracy	0.2614752497891045	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
accuracy	0.0078125	(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))
accuracy	0.15625	(.f64 #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.2614752497891045	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
accuracy	61.260323858160554	#s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.01953125	(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	0.23798757442434265	#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

300.0ms	181×	2	valid
74.0ms	71×	1	valid
3.0ms	1×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 683 to 98 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-exp: 79.0ms (29% of total)

ival-mult: 54.0ms (19.8% of total)

ival-cosh: 53.0ms (19.4% of total)

adjust: 37.0ms (13.6% of total)

ival-add: 23.0ms (8.4% of total)

const: 17.0ms (6.2% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

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

series9.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

22 → 50

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))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(.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)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) 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))))))))
(pow x 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(+ 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)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (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)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) (* 1/12 (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* x x) 1/12) 1) x) x) (+ (* (* x x) 1/12) 1) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (* (+ (* (* x x) 1/12) 1) x) (* (+ (* 1/720 (* x x)) 1/24) x))

3.0ms

-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) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) (* 1/12 (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* x x) 1/12) 1) x) x) (+ (* (* x x) 1/12) 1) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (* (+ (* (* x x) 1/12) 1) x) (* (+ (* 1/720 (* x x)) 1/24) x))

2.0ms

((+ (- (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) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) (* 1/12 (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* x x) 1/12) 1) x) x) (+ (* (* x x) 1/12) 1) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (* (+ (* (* x x) 1/12) 1) x) (* (+ (* 1/720 (* x x)) 1/24) x))

simplify181.0ms (1.8%)

Memory

5.5MiB live, 192.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	456
1	362	448
2	875	439
3	3509	438
4	6193	438
5	7797	438
0	8243	407

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

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 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(+ 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)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (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)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

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))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 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)) 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 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #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 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
(- (+ (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 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* 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))
(* 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))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 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)))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/720 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* 1/12 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite213.0ms (2.1%)

Memory

14.6MiB live, 208.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	341
0	77	338
1	291	332
2	1926	332
0	8393	329

Stop Event

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

Counts

22 → 329

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))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(.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)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)

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 (.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))) (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 (.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))) (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 (-.f64 (pow.f64 (/.f64 (.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))) (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 3 binary64)) (pow.f64 (/.f64 (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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.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))) (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 (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))) (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 (/.f64 (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 (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 (/.f64 (.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))) (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 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 (+.f64 (pow.f64 (fma.f64 x x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (fma.f64 x x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (fma.f64 x x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 x x (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (.f64 (.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.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))))) (neg.f64 (-.f64 (.f64 x x) (.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 (neg.f64 (-.f64 (.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))) (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 (.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))) (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)) (.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 (.f64 x x) (.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 (-.f64 (.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))) (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 (.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 (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 (.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))) (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 #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 (.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))) (pow.f64 x #s(literal 4 binary64))))))
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(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x))
(fma.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x (.f64 (.f64 #s(literal 1/720 binary64) (*.f64 x x)) x))
(fma.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) x))
(+.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x #s(literal 1/24 binary64)))
(+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 #s(literal 1/720 binary64) (.f64 x x))))

eval127.0ms (1.2%)

Memory: -21.2MiB live, 131.8MiB allocated
Compiler: Compiled 18 406 to 1 771 computations (90.4% saved)

prune25.0ms (0.2%)

Memory

-12.5MiB live, 26.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	402	3	405
Fresh	0	1	1
Picked	3	2	5
Done	1	4	5
Total	406	10	416

Accuracy

100.0%

Counts

416 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.5%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	58.2%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
✓	58.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	99.6%	#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)))
	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
	57.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) x) x))
✓	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 574 to 227 computations (60.5% saved)

regimes11.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 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)))
#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(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #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))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 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 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#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 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.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)))
#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))))

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

Calls

2 calls:

6.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 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)))
#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(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #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))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 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)))

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:

4.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes14.0ms (0.1%)

Memory

-41.5MiB live, 7.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
3.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) 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
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total -26.7b remaining (-4668.8%)

Threshold costs -26.7b (-4668.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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
99.1%	1	`x`
99.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify23.0ms (0.2%)

Memory

6.1MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	98
1	36	98

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness964.0ms (9.4%)

Memory

3.2MiB live, 547.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	223
0	57	217
1	248	205
2	1833	205
0	8254	202
0	48	341
0	77	338
1	291	332
2	1926	332
0	8393	329
0	67	181
1	191	181
2	463	171
3	1164	171
4	1820	171
5	2820	171
6	6002	171
7	7406	171
0	8042	155
0	22	88
0	32	88
1	128	79
2	954	79
0	8347	79
0	60	160
1	168	159
2	397	153
3	1060	153
4	1759	153
5	3027	153
6	3849	153
7	5284	153
8	6683	153
0	8227	132

Stop Event

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

Compiler

Compiled 246 to 131 computations (46.7% saved)

preprocess68.0ms (0.7%)

Memory: 24.3MiB live, 136.6MiB allocated
Remove: (abs x)
Compiler: Compiled 322 to 148 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21

start0.0ms (0%)

analyze42.0ms (0.4%)

sample4.1s (40.2%)

explain684.0ms (6.7%)

preprocess147.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify135.0ms (1.3%)

localize420.0ms (4.1%)

series1.0ms (0%)

simplify191.0ms (1.9%)

rewrite274.0ms (2.7%)

eval120.0ms (1.2%)

prune20.0ms (0.2%)

simplify106.0ms (1%)

localize214.0ms (2.1%)

series10.0ms (0.1%)

simplify132.0ms (1.3%)

rewrite151.0ms (1.5%)

eval42.0ms (0.4%)

prune10.0ms (0.1%)

simplify297.0ms (2.9%)

localize270.0ms (2.6%)

series12.0ms (0.1%)

simplify144.0ms (1.4%)

rewrite219.0ms (2.1%)

eval66.0ms (0.6%)

prune12.0ms (0.1%)

simplify342.0ms (3.3%)

localize432.0ms (4.2%)

series9.0ms (0.1%)

simplify181.0ms (1.8%)

rewrite213.0ms (2.1%)

eval127.0ms (1.2%)

prune25.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify23.0ms (0.2%)

soundness964.0ms (9.4%)

preprocess68.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21