Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.7s (48.8%)

Memory

41.9MiB live, 3 852.1MiB allocated

Samples

1.7s	2 928×	2	valid
1.1s	4 803×	1	valid
727.0ms	7 730×	0	exit
36.0ms	525×	0	valid

Precisions

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

ival-exp: 1.9s (63.2% of total)

ival-div: 414.0ms (13.9% of total)

adjust: 192.0ms (6.4% of total)

ival-add: 175.0ms (5.9% of total)

ival-sub: 151.0ms (5.1% of total)

ival-neg: 144.0ms (4.8% of total)

ival-true: 14.0ms (0.5% of total)

ival-assert: 8.0ms (0.3% of total)

Bogosity

explain254.0ms (2.6%)

Memory

-6.9MiB live, 318.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
246	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
5	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(exp.f64 x)`
0	1	(-281.910932138106)	-	`(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 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	246	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	5	0
↳	`(exp.f64 x)`	overflow	3
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(exp.f64 (neg.f64 x))`	overflow	2
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(exp.f64 x)`	overflow	3
↳	`(exp.f64 (neg.f64 x))`	overflow	2
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	251	0
-	1	4

Precision

0.996031746031746

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	1	1	3

Precision?

0.9920948616600791

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms	164×	2	valid
53.0ms	304×	1	valid
3.0ms	44×	0	valid

Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-exp: 78.0ms (70.7% of total)

adjust: 11.0ms (10% of total)

ival-div: 7.0ms (6.3% of total)

ival-add: 5.0ms (4.5% of total)

ival-sub: 5.0ms (4.5% of total)

ival-neg: 2.0ms (1.8% of total)

ival-true: 1.0ms (0.9% of total)

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

preprocess85.0ms (0.9%)

Memory

3.6MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	32	27
2	80	26
3	201	26
4	473	26
5	1139	26
6	1555	26
7	1593	26
8	1612	26
9	1631	26
10	1665	26
11	1679	26
0	7	13
0	13	13
1	25	13
2	42	13
3	67	13
4	122	13
5	277	13
6	467	13
7	712	13
8	956	13
9	1123	13
10	1251	13
11	1298	13
0	1298	13

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify34.0ms (0.4%)

Memory

-13.4MiB live, 25.5MiB 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) (exp.f64 (neg.f64 x)))
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	33
1	25	33
2	42	33
3	67	33
4	122	33
5	277	33
6	467	33
7	712	33
8	956	33
9	1123	33
10	1251	33
11	1298	33
0	1298	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

localize85.0ms (0.9%)

Memory

-7.6MiB live, 145.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	1.236673765022568	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	56.18246130412337	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

38.0ms	152×	1	valid
33.0ms	82×	2	valid
2.0ms	22×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-exp: 36.0ms (61.5% of total)

adjust: 10.0ms (17.1% of total)

ival-div: 5.0ms (8.5% of total)

ival-add: 4.0ms (6.8% of total)

ival-sub: 3.0ms (5.1% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

5 → 28

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
(+ (exp x) (exp (* -1 x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

simplify150.0ms (1.6%)

Memory

-1.9MiB live, 155.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	242
1	259	241
2	604	231
3	1672	231
4	2637	231
5	4162	231
6	4866	231
7	6482	231
0	8180	203

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
(+ (exp x) (exp (* -1 x)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 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))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

rewrite174.0ms (1.8%)

Memory

11.6MiB live, 207.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
0	13	15
1	55	15
2	424	15
3	7120	15
0	8102	15

Stop Event

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

Counts

5 → 644

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
(tanh.f64 x)
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (tanh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (tanh.f64 x)) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (sinh.f64 x))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) x))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(.f64 (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x))
(*.f64 (pow.f64 (pow.f64 (tanh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tanh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
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(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))))
(fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (exp.f64 x) (sinh.f64 x)) (neg.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (neg.f64 (exp.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 x))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (neg.f64 (neg.f64 (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 x))))
(-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(-.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))))
(+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (neg.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (neg.f64 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval81.0ms (0.8%)

Memory: 0.4MiB live, 118.3MiB allocated
Compiler: Compiled 16 689 to 1 766 computations (89.4% saved)

prune10.0ms (0.1%)

Memory

-6.8MiB live, 32.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	693	3	696
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	694	3	697

Accuracy

100.0%

Counts

697 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tanh.f64 x)
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Status

Accuracy

Program

▶

100.0%

(tanh.f64 x)

▶

96.7%

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))

▶

96.5%

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 52 to 31 computations (40.4% saved)

simplify136.0ms (1.4%)

Memory

27.5MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tanh.f64 x)
cost-diff	0	(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	109
0	31	87
1	74	87
2	166	87
3	388	87
4	976	87
5	1388	87
6	1936	87
7	3162	87
8	5402	87
0	8241	87

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x

localize160.0ms (1.7%)

Memory

2.7MiB live, 158.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.015625	(tanh.f64 x)
accuracy	0.017910009768442016	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
accuracy	0.0234375	(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
accuracy	2.1120915890879166	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.014003759768442016	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	2.2105802398344077	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

76.0ms	82×	2	valid
62.0ms	152×	1	valid
4.0ms	22×	0	valid

Compiler

Compiled 203 to 44 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-exp: 40.0ms (37.7% of total)

const: 16.0ms (15.1% of total)

adjust: 14.0ms (13.2% of total)

ival-mult: 12.0ms (11.3% of total)

ival-add: 11.0ms (10.4% of total)

ival-div: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.8% of total)

ival-pow: 3.0ms (2.8% of total)

ival-tanh: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

8 → 28

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(tanh.f64 x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (+ (* -17/315 (* x x)) 2/15))
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (+ (* -17/315 (* x x)) 2/15))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (+ (* -17/315 (* x x)) 2/15))

Time

Variable

Point

Expression

3.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (+ (* -17/315 (* x x)) 2/15))

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (+ (* -17/315 (* x x)) 2/15))

2.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (+ (* -17/315 (* x x)) 2/15))

simplify117.0ms (1.2%)

Memory

-39.6MiB live, 83.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	292
1	205	282
2	538	282
3	1644	282
4	4466	282
5	7098	282
0	8465	267

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal -2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal -2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))

rewrite201.0ms (2.1%)

Memory

45.6MiB live, 235.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	31	72
1	157	72
2	1177	72
0	8436	72

Stop Event

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

Counts

8 → 394

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(tanh.f64 x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
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(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(.f64 (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))))
(.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)) (pow.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))) (.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (fma.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal 4/225 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64))) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (-.f64 #s(literal 4/225 binary64) (*.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))
(fma.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 #s(literal -17/315 binary64) x) #s(literal 2/15 binary64))
(-.f64 (/.f64 #s(literal 4/225 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (neg.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))

eval117.0ms (1.2%)

Memory: -15.6MiB live, 106.3MiB allocated
Compiler: Compiled 15 423 to 1 475 computations (90.4% saved)

prune9.0ms (0.1%)

Memory

-9.8MiB live, 28.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	427	3	430
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	429	4	433

Accuracy

100.0%

Counts

433 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))

Compiler

Compiled 78 to 42 computations (46.2% saved)

simplify284.0ms (2.9%)

Memory

-0.2MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
cost-diff	2	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	167
0	36	167
1	79	167
2	132	161
3	278	161
4	654	161
5	1436	161
6	2009	161
7	2773	161
8	3805	161
9	4950	161
10	5564	161
11	5828	161
12	6429	161
13	7500	161
0	8423	155

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)

localize372.0ms (3.9%)

Memory

-182.2MiB live, 223.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
accuracy	0.0234375	(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
accuracy	0.234375	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
accuracy	2.1120915890879166	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.014003759768442016	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
accuracy	0.33984375	(*.f64 x #s(literal -1/3 binary64))
accuracy	2.2105802398344077	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
accuracy	0.21875	(.f64 #s(literal -1/3 binary64) (.f64 x x))
accuracy	2.2105802398344077	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))

Samples

283.0ms	152×	1	valid
60.0ms	82×	2	valid
4.0ms	22×	0	valid

Compiler

Compiled 309 to 48 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-mult: 180.0ms (55.2% of total)

ival-exp: 94.0ms (28.8% of total)

const: 16.0ms (4.9% of total)

adjust: 15.0ms (4.6% of total)

ival-add: 14.0ms (4.3% of total)

ival-div: 4.0ms (1.2% of total)

ival-sub: 3.0ms (0.9% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

12 → 34

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(*.f64 x #s(literal -1/3 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(pow x 2)
(* -1/3 x)
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((+ (* (* -1/3 (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* -1/3 (* x x)) (* x x) (+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x -1/3) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* x x) -17/315) 2/15))

2.0ms

-inf

((+ (* (* -1/3 (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* -1/3 (* x x)) (* x x) (+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x -1/3) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* x x) -17/315) 2/15))

2.0ms

inf

((+ (* (* -1/3 (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* -1/3 (* x x)) (* x x) (+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x -1/3) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* x x) -17/315) 2/15))

simplify198.0ms (2.1%)

Memory

-18.1MiB live, 256.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	348
1	204	338
2	541	338
3	1668	338
4	4610	338
5	7325	338
0	8378	320

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(pow x 2)
(* -1/3 x)
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(pow x 2)
(*.f64 x x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))

rewrite177.0ms (1.8%)

Memory

17.7MiB live, 213.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	153
0	36	120
1	169	114
2	1278	114
0	8304	108

Stop Event

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

Counts

12 → 331

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(*.f64 x #s(literal -1/3 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))

Outputs
(.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (neg.f64 x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (fma.f64 x x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(.f64 x (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (fma.f64 (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64))) (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64))) (.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)))) (neg.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) #s(literal 4/225 binary64))) (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 34/4725 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))))
(/.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x))) (-.f64 #s(literal 4/225 binary64) (*.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/225 binary64) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 34/4725 binary64)))) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))))
(fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))
(fma.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 #s(literal -17/315 binary64) x) #s(literal 2/15 binary64))
(-.f64 (/.f64 #s(literal 4/225 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (neg.f64 (/.f64 #s(literal -4/225 binary64) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))))
(+.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))

eval97.0ms (1%)

Memory: -14.8MiB live, 76.0MiB allocated
Compiler: Compiled 14 037 to 1 316 computations (90.6% saved)

prune18.0ms (0.2%)

Memory

-3.9MiB live, 32.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	319	7	326

Accuracy

100.0%

Counts

326 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
✓	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
▶	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
▶	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
▶	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))

Compiler

Compiled 203 to 112 computations (44.8% saved)

simplify198.0ms (2.1%)

Memory

-0.8MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
cost-diff	0	#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
cost-diff	0	#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	395
0	56	383
1	119	383
2	208	379
3	420	379
4	693	379
5	1113	379
6	1527	379
7	2201	379
8	2889	379
9	4545	379
10	6458	379
11	7049	379
12	8000	379
0	8004	368

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x)
#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x)
(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x x))
(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x)
(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x x)
#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)) x))
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)) x)
(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)
(.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)

localize217.0ms (2.2%)

Memory

15.1MiB live, 248.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	0.234375	(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
accuracy	2.1120915890879166	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
accuracy	2.654615087105759	#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
accuracy	0.15625	(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
accuracy	0.234375	(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
accuracy	2.1120915890879166	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
accuracy	60.843267082857786	#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
accuracy	0.33203125	(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
accuracy	2.1120915890879166	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
accuracy	2.2560615649383244	#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))

Samples

80.0ms	152×	1	valid
79.0ms	82×	2	valid
26.0ms	22×	0	valid

Compiler

Compiled 655 to 66 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 50.0ms (31.2% of total)

ival-exp: 36.0ms (22.5% of total)

const: 34.0ms (21.2% of total)

ival-add: 18.0ms (11.2% of total)

adjust: 15.0ms (9.4% of total)

ival-div: 4.0ms (2.5% of total)

ival-sub: 3.0ms (1.9% of total)

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

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

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

series6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

15 → 38

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x)
#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (* (* (+ (* 2/15 (* x x)) -1/3) x) x) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* (+ (* 2/15 (* x x)) -1/3) x) (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (+ (* (* x x) -17/315) 2/15))

2.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (* (* (+ (* 2/15 (* x x)) -1/3) x) x) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* (+ (* 2/15 (* x x)) -1/3) x) (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (+ (* (* x x) -17/315) 2/15))

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (* (* (+ (* 2/15 (* x x)) -1/3) x) x) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* (+ (* 2/15 (* x x)) -1/3) x) (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (+ (* (* x x) -17/315) 2/15))

simplify123.0ms (1.3%)

Memory

7.7MiB live, 125.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	386
1	216	380
2	579	380
3	1763	380
4	4777	380
5	6538	380
0	8105	360

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal -2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* 2/15 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/15 binary64))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal -2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)

rewrite587.0ms (6.1%)

Memory

-27.8MiB live, 205.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	357
0	56	312
1	242	308
2	1614	308
0	8702	297

Stop Event

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

Counts

15 → 291

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x)
#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x)) (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x))) x)
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) (.f64 x x))))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x)) (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x x))
(.f64 x (+.f64 #s(literal 1 binary64) #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) (.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x)) (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))) (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)) (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x))))
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(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x (*.f64 #s(literal -1/3 binary64) x))
(fma.f64 #s(literal -1/3 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (.f64 #s(literal -1/3 binary64) x))
(+.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x #s(literal -1/3 binary64)))
(+.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (pow.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)))) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)))) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (.f64 x x)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) (.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))) (.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) (.f64 (*.f64 x x) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))) (.f64 (.f64 x x) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 x x) #s(literal 2/15 binary64) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 2/15 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 #s(literal 2/15 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2/15 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 2/15 binary64) x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))

eval55.0ms (0.6%)

Memory: 23.0MiB live, 74.4MiB allocated
Compiler: Compiled 20 977 to 1 499 computations (92.9% saved)

prune24.0ms (0.3%)

Memory

-4.5MiB live, 32.2MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	315	3	318
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	315	10	325

Accuracy

100.0%

Counts

325 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
✓	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
✓	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (+.f64 (.f64 (.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
✓	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x x)) x x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x)) x x))
✓	96.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))

Compiler

Compiled 739 to 272 computations (63.2% saved)

regimes10.0ms (0.1%)

Memory

-22.4MiB live, 14.9MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (+.f64 (.f64 (.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (+.f64 (.f64 (.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.4MiB allocated

Accuracy

Total -0.4b remaining (-18.7%)

Threshold costs -0.4b (-18.7%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x))

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x x)) x x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify67.0ms (0.7%)

Memory

-0.4MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	69
1	50	69
2	92	69
3	207	69
4	475	69
5	868	69
6	2266	69
7	6023	69

Stop Event

1×	node limit

Calls

Call 1

Inputs

(tanh.f64 x)

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x))

Outputs

(tanh.f64 x)

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x))

soundness796.0ms (8.3%)

Memory

0.7MiB live, 469.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	242
1	259	241
2	604	231
3	1672	231
4	2637	231
5	4162	231
6	4866	231
7	6482	231
0	8180	203
0	7	30
0	13	15
1	55	15
2	424	15
3	7120	15
0	8102	15
0	20	94
0	31	72
1	157	72
2	1177	72
0	8436	72
0	80	348
1	204	338
2	541	338
3	1668	338
4	4610	338
5	7325	338
0	8378	320

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×	iter limit
1×	node limit

Compiler

Compiled 156 to 82 computations (47.4% saved)

preprocess68.0ms (0.7%)

Memory: -16.7MiB live, 73.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 168 to 76 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.7s (48.8%)

explain254.0ms (2.6%)

preprocess85.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify34.0ms (0.4%)

localize85.0ms (0.9%)

series3.0ms (0%)

simplify150.0ms (1.6%)

rewrite174.0ms (1.8%)

eval81.0ms (0.8%)

prune10.0ms (0.1%)

simplify136.0ms (1.4%)

localize160.0ms (1.7%)

series8.0ms (0.1%)

simplify117.0ms (1.2%)

rewrite201.0ms (2.1%)

eval117.0ms (1.2%)

prune9.0ms (0.1%)

simplify284.0ms (2.9%)

localize372.0ms (3.9%)

series7.0ms (0.1%)

simplify198.0ms (2.1%)

rewrite177.0ms (1.8%)

eval97.0ms (1%)

prune18.0ms (0.2%)

simplify198.0ms (2.1%)

localize217.0ms (2.2%)

series6.0ms (0.1%)

simplify123.0ms (1.3%)

rewrite587.0ms (6.1%)

eval55.0ms (0.6%)

prune24.0ms (0.3%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

simplify67.0ms (0.7%)

soundness796.0ms (8.3%)

preprocess68.0ms (0.7%)

end0.0ms (0%)

Profiling