Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.3s (45.4%)

Memory

26.1MiB live, 5 841.7MiB allocated

Samples

1.6s	2 515×	2	valid
1.2s	4 767×	1	valid
671.0ms	8 100×	0	exit
254.0ms	423×	3	valid
34.0ms	551×	0	valid

Precisions

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

ival-exp: 1.9s (65.1% of total)

ival-div: 425.0ms (14.3% of total)

adjust: 219.0ms (7.4% of total)

ival-sub: 146.0ms (4.9% of total)

ival-add: 131.0ms (4.4% of total)

ival-neg: 102.0ms (3.4% of total)

ival-true: 12.0ms (0.4% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

preprocess126.0ms (1.3%)

Memory

-23.8MiB live, 109.1MiB allocated

Algorithm

2×	egg-herbie

Rules

528×	`accelerator-lowering-fma.f32`
528×	`accelerator-lowering-fma.f64`
374×	`div-sub`
336×	`-lowering-.f32`
336×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	46	39
2	100	39
3	220	39
4	502	39
5	1164	39
6	1617	39
7	1655	39
8	1674	39
9	1693	39
10	1727	39
11	1739	39
0	7	13
1	19	13
2	36	13
3	61	13
4	116	13
5	271	13
6	457	13
7	678	13
8	898	13
9	1052	13
10	1180	13
11	1222	13
0	1222	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

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

(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))

Call 2

Inputs

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

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

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

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

Symmetry

(negabs x)

explain226.0ms (2.4%)

Memory

26.6MiB live, 458.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
251	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
5	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	251	0
`/.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	5
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	5
↳	`(exp.f64 x)`	overflow	5

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	168×	2	valid
56.0ms	302×	1	valid
13.0ms	22×	3	valid
1.0ms	20×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-exp: 87.0ms (70.6% of total)

adjust: 12.0ms (9.7% of total)

ival-div: 8.0ms (6.5% of total)

ival-add: 6.0ms (4.9% of total)

ival-sub: 6.0ms (4.9% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify52.0ms (0.6%)

Memory

-19.8MiB live, 99.9MiB 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	11712	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

528×	`accelerator-lowering-fma.f32`
528×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
224×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	19	33
2	36	33
3	61	33
4	116	33
5	271	33
6	457	33
7	678	33
8	898	33
9	1052	33
10	1180	33
11	1222	33
0	1222	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))

localize138.0ms (1.5%)

Memory

3.9MiB live, 197.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	98.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	8.4%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

84.0ms	84×	2	valid
31.0ms	151×	1	valid
6.0ms	11×	3	valid
1.0ms	10×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-exp: 71.0ms (65.6% of total)

adjust: 23.0ms (21.3% of total)

ival-div: 4.0ms (3.7% of total)

ival-neg: 4.0ms (3.7% of total)

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

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

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

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

series3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

Calls

12 calls:

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

rewrite327.0ms (3.4%)

Memory

-25.6MiB live, 616.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
3 826×	`/-lowering-/.f32`
3 826×	`/-lowering-/.f64`
2 870×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	49	11
2	418	11
3	7082	11
0	8064	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 499

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))))
(+.f64 (.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (.f64 (exp.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (/.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tanh.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (neg.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (/.f64 (tanh.f64 x) (tanh.f64 x))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (tanh.f64 x) (tanh.f64 x))))
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(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (pow.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (tanh.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (sinh.f64 x))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

simplify952.0ms (10.1%)

Memory

21.4MiB live, 486.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 776×	`accelerator-lowering-fma.f32`
13 776×	`accelerator-lowering-fma.f64`
3 650×	`-lowering-.f32`
3 650×	`-lowering-.f64`
2 770×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	339
1	220	338
2	490	332
3	1295	332
4	2170	332
5	3645	332
6	4343	332
7	5854	332
8	7984	332
0	8018	310

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))))
(/ (- (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 (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 x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* 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))))))))
(- (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 x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))

eval78.0ms (0.8%)

Memory: 8.6MiB live, 146.8MiB allocated
Compiler: Compiled 13 900 to 1 359 computations (90.2% saved)

prune63.0ms (0.7%)

Memory

-11.0MiB live, 149.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	587	4	591
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	588	4	592

Accuracy

100.0%

Counts

592 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶	54.2%	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
▶	100.0%	(tanh.f64 x)
▶	98.1%	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify247.0ms (2.6%)

Memory

-15.3MiB live, 500.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(sinh.f64 (+.f64 x x))
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
✓	cost-diff	14208	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
✓	cost-diff	0	(tanh.f64 x)

Rules

4 218×	`accelerator-lowering-fma.f32`
4 218×	`accelerator-lowering-fma.f64`
3 938×	`-lowering-.f32`
3 938×	`-lowering-.f64`
2 272×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	61	67
2	156	64
3	430	64
4	1496	64
5	4272	56
6	7376	56
0	8168	54

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
(tanh x)
x
(/ (pow (* 2 (sinh x)) 2) (* 2 (sinh (+ x x))))
(pow (* 2 (sinh x)) 2)
(* 2 (sinh x))
2
(sinh x)
x
(* 2 (sinh (+ x x)))
(sinh (+ x x))
(+ x x)
(+ (* x (+ (* x (* x -1/3)) 1)) 0)
x
(+ (* x (* x -1/3)) 1)
(* x -1/3)
-1/3
1
0

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

localize57.0ms (0.6%)

Memory

17.4MiB live, 134.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	100.0%	(pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(sinh.f64 (+.f64 x x))
✓	accuracy	54.3%	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
✓	accuracy	100.0%	(tanh.f64 x)

Samples

39.0ms

256×

valid

Compiler

Compiled 68 to 20 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 8.0ms (28.3% of total)

ival-div: 5.0ms (17.7% of total)

const: 5.0ms (17.7% of total)

ival-add: 3.0ms (10.6% of total)

ival-tanh: 3.0ms (10.6% of total)

ival-sinh: 2.0ms (7.1% of total)

ival-pow2: 2.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-7.9MiB live, 29.1MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (tanh x)>
#<alt (/ (pow (* 2 (sinh x)) 2) (* 2 (sinh (+ x x))))>
#<alt (pow (* 2 (sinh x)) 2)>
#<alt (sinh x)>
#<alt (sinh (+ x x))>
#<alt (+ (* x (+ (* x (* x -1/3)) 1)) 0)>
#<alt (+ (* x (* x -1/3)) 1)>
#<alt (* x -1/3)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 4/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt (pow (- (exp x) (/ 1 (exp x))) 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (pow (* 2 (sinh x)) 2) (* 2 (sinh (+ x x))))
3.0ms	x	@	0	(+ (* x (+ (* x (* x -1/3)) 1)) 0)
3.0ms	x	@	-inf	(/ (pow (* 2 (sinh x)) 2) (* 2 (sinh (+ x x))))
2.0ms	x	@	-inf	(tanh x)
1.0ms	x	@	inf	(tanh x)

rewrite31.0ms (0.3%)

Memory

3.9MiB live, 44.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

58×	`-lowering-.f32`
58×	`-lowering-.f64`
36×	`/-lowering-/.f32`
36×	`/-lowering-/.f64`
34×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
0	114	44

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

8 → 41

Calls

Call 1

Inputs
(tanh x)
(/ (pow (* 2 (sinh x)) 2) (* 2 (sinh (+ x x))))
(pow (* 2 (sinh x)) 2)
(sinh x)
(sinh (+ x x))
(+ (* x (+ (* x (* x -1/3)) 1)) 0)
(+ (* x (* x -1/3)) 1)
(* x -1/3)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(tanh.f64 x)
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(+.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(sinh.f64 (+.f64 x x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 2 binary64))
(+.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)

simplify506.0ms (5.3%)

Memory

22.9MiB live, 844.1MiB allocated

Algorithm

1×	egg-herbie

Rules

21 480×	`accelerator-lowering-fma.f32`
21 480×	`accelerator-lowering-fma.f64`
5 562×	`-lowering-.f32`
5 562×	`-lowering-.f64`
2 790×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	924
1	327	872
2	900	872
3	2726	872
4	6338	872
0	8245	824

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
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 (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
(pow (- (exp x) (/ 1 (exp x))) 2)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ (pow (- (exp x) (/ 1 (exp x))) 2) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 8/45 binary64) #s(literal 4/3 binary64))) #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/315 binary64) #s(literal 8/45 binary64)) #s(literal 4/3 binary64))) #s(literal 4 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow (- (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 4/3 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 4/15 binary64) #s(literal 4/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 8/315 binary64)) #s(literal 4/15 binary64)) #s(literal 4/3 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))

eval15.0ms (0.2%)

Memory: -9.9MiB live, 27.9MiB allocated
Compiler: Compiled 2 040 to 229 computations (88.8% saved)

prune7.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	137	4	141

Accuracy

100.0%

Counts

141 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
▶	98.1%	(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(tanh.f64 x)
✓	98.1%	x

Compiler

Compiled 25 to 16 computations (36% saved)

simplify6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)

Rules

66×	`-lowering-.f32`
66×	`-lowering-.f64`
32×	`accelerator-lowering-fma.f32`
32×	`accelerator-lowering-fma.f64`
26×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	23	43
2	53	39
3	60	39
4	61	39
0	61	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (* (* x x) -1/3) 1) x)
(+ (* (* x x) -1/3) 1)
(* x x)
x
-1/3
1
(+ (* (* (* x x) -1/3) x) (* 1 x))
(* (* x x) -1/3)
(* x x)
x
-1/3
(* 1 x)
1

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

localize40.0ms (0.4%)

Memory

-29.8MiB live, 65.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)

Samples

27.0ms

256×

valid

Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (57.2% of total)

const: 4.0ms (28.6% of total)

ival-add: 2.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (* (+ (* (* x x) -1/3) 1) x)>
#<alt (+ (* (* x x) -1/3) 1)>
#<alt (* x x)>
#<alt (* 1 x)>
#<alt (+ (* (* (* x x) -1/3) x) (* 1 x))>
#<alt (* (* x x) -1/3)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* 1 x)
0.0ms	x	@	inf	(+ (* (* (* x x) -1/3) x) (* 1 x))
0.0ms	x	@	inf	(* (* x x) -1/3)
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

rewrite421.0ms (4.4%)

Memory

20.3MiB live, 594.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 520×	`accelerator-lowering-fma.f32`
6 520×	`accelerator-lowering-fma.f64`
4 392×	`/-lowering-/.f32`
4 392×	`/-lowering-/.f64`
4 176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	53	30
2	350	30
3	3291	30
0	8782	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 559

Calls

Call 1

Inputs
(* (+ (* (* x x) -1/3) 1) x)
(+ (* (* x x) -1/3) 1)
(* x x)
(* 1 x)
(+ (* (* (* x x) -1/3) x) (* 1 x))
(* (* x x) -1/3)

Outputs
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64)))) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64)))) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))))) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))))) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))) (.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))) (fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))) (/.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))))
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(.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) x) (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)))) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/81 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal -1/3 binary64))))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 x #s(literal -1/3 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal -1/3 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal -1/3 binary64))) (.f64 x x))

simplify198.0ms (2.1%)

Memory

-17.9MiB live, 262.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 448×	`accelerator-lowering-fma.f32`
3 448×	`accelerator-lowering-fma.f64`
3 002×	`-lowering-.f32`
3 002×	`-lowering-.f64`
1 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	366
1	46	330
2	123	330
3	395	330
4	1644	330
5	4541	330
6	6759	330
0	8385	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

eval84.0ms (0.9%)

Memory: -11.7MiB live, 141.0MiB allocated
Compiler: Compiled 24 409 to 1 131 computations (95.4% saved)

prune84.0ms (0.9%)

Memory

-14.9MiB live, 107.7MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	652	1	653
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	654	3	657

Accuracy

100.0%

Counts

657 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
✓	100.0%	(tanh.f64 x)
✓	98.1%	x

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)

Rules

66×	`-lowering-.f32`
66×	`-lowering-.f64`
32×	`accelerator-lowering-fma.f32`
32×	`accelerator-lowering-fma.f64`
24×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	16	19
2	32	17
3	41	17
4	41	17
5	63	17
6	63	17
0	63	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* (* x x) -1/3) x) x)
(* (* x x) -1/3)
(* x x)
x
-1/3

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

localize24.0ms (0.3%)

Memory

12.9MiB live, 50.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (52.1% of total)

const: 3.0ms (31.3% of total)

ival-add: 1.0ms (10.4% of total)

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

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (+ (* (* (* x x) -1/3) x) x)>
#<alt (* (* x x) -1/3)>
#<alt (* x x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* (* (* x x) -1/3) x) x)
0.0ms	x	@	inf	(+ (* (* (* x x) -1/3) x) x)
0.0ms	x	@	-inf	(+ (* (* (* x x) -1/3) x) x)
0.0ms	x	@	0	(* (* x x) -1/3)
0.0ms	x	@	inf	(* (* x x) -1/3)

rewrite579.0ms (6.1%)

Memory

-0.6MiB live, 759.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 132×	`accelerator-lowering-fma.f32`
12 132×	`accelerator-lowering-fma.f64`
4 312×	`/-lowering-/.f32`
4 312×	`/-lowering-/.f64`
4 136×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	30	15
2	188	15
3	1792	15
0	8577	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 204

Calls

Call 1

Inputs
(+ (* (* (* x x) -1/3) x) x)
(* (* x x) -1/3)
(* x x)

Outputs
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x))))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x))))) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))) (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))))
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(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (pow.f64 x #s(literal 27 binary64)) #s(literal -1/19683 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/729 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x)) (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) x)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (.f64 (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))) (fma.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (-.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x)) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))))) (.f64 x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x)) (.f64 x (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (pow.f64 x #s(literal 27 binary64)) #s(literal -1/19683 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/729 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x)) (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 x #s(literal -1/3 binary64)) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))

simplify450.0ms (4.8%)

Memory

4.8MiB live, 398.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 424×	`-lowering-.f32`
4 424×	`-lowering-.f64`
4 386×	`accelerator-lowering-fma.f32`
4 386×	`accelerator-lowering-fma.f64`
2 480×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	188
1	44	170
2	117	170
3	393	170
4	1078	170
5	2709	170
6	3758	170
7	4523	170
8	5683	170
9	6483	170
10	7001	170
11	7412	170
12	7713	170
13	7973	170
0	8628	161

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/3 (pow x 2))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval49.0ms (0.5%)

Memory: 16.0MiB live, 54.4MiB allocated
Compiler: Compiled 11 774 to 557 computations (95.3% saved)

prune29.0ms (0.3%)

Memory

-21.7MiB live, 58.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	240	3	243

Accuracy

100.0%

Counts

243 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
✓	100.0%	(tanh.f64 x)
✓	98.1%	x

Compiler

Compiled 79 to 37 computations (53.2% saved)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
x
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
(tanh.f64 x)
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x 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:

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
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 16 to 8 computations (50% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.1b remaining (-11%)

Threshold costs -0.1b (-11%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))

Outputs
x

Calls

2 calls:

2.0ms	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
98.1%	1	`x`
98.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

simplify7.0ms (0.1%)

Memory

-23.2MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
x

Outputs
(tanh.f64 x)
x

soundness296.0ms (3.1%)

Memory

4.1MiB live, 248.5MiB allocated

Rules

13 776×	`accelerator-lowering-fma.f32`
13 776×	`accelerator-lowering-fma.f64`
3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
3 826×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	339
1	220	338
2	490	332
3	1295	332
4	2170	332
5	3645	332
6	4343	332
7	5854	332
8	7984	332
0	8018	310
0	7	11
1	49	11
2	418	11
3	7082	11
0	8064	11

Stop Event

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

preprocess36.0ms (0.4%)

Memory: 10.2MiB live, 49.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 42 to 22 computations (47.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample4.3s (45.4%)

preprocess126.0ms (1.3%)

explain226.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.6%)

localize138.0ms (1.5%)

series3.0ms (0%)

rewrite327.0ms (3.4%)

simplify952.0ms (10.1%)

eval78.0ms (0.8%)

prune63.0ms (0.7%)

simplify247.0ms (2.6%)

localize57.0ms (0.6%)

series17.0ms (0.2%)

rewrite31.0ms (0.3%)

simplify506.0ms (5.3%)

eval15.0ms (0.2%)

prune7.0ms (0.1%)

simplify6.0ms (0.1%)

localize40.0ms (0.4%)

series2.0ms (0%)

rewrite421.0ms (4.4%)

simplify198.0ms (2.1%)

eval84.0ms (0.9%)

prune84.0ms (0.9%)

simplify5.0ms (0.1%)

localize24.0ms (0.3%)

series1.0ms (0%)

rewrite579.0ms (6.1%)

simplify450.0ms (4.8%)

eval49.0ms (0.5%)

prune29.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness296.0ms (3.1%)

preprocess36.0ms (0.4%)

end0.0ms (0%)

Profiling