Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.5s (39%)

Memory

58.8MiB live, 4 719.9MiB allocated

Samples

2.7s	5 760×	2	valid
381.0ms	2 327×	1	valid
11.0ms	169×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.9s (72.8% of total)

adjust: 215.0ms (8.1% of total)

ival-sub: 151.0ms (5.7% of total)

ival-add: 128.0ms (4.8% of total)

ival-neg: 89.0ms (3.4% of total)

ival-fabs: 89.0ms (3.4% of total)

ival-<=: 27.0ms (1% of total)

exact: 17.0ms (0.6% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

preprocess42.0ms (0.5%)

Memory

-16.6MiB live, 82.9MiB allocated

Algorithm

2×	egg-herbie

Rules

244×	`accelerator-lowering-fma.f32`
244×	`accelerator-lowering-fma.f64`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
102×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain348.0ms (3.9%)

Memory

-18.4MiB live, 489.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
118	1	(1.7522224425637488e-162)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	118	0
-	1	137

Precision

0.9915966386554622

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	1	0	137

Precision?

0.9915966386554622

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

264.0ms	392×	2	valid
18.0ms	120×	1	valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-exp: 201.0ms (78.5% of total)

ival-sub: 29.0ms (11.3% of total)

adjust: 12.0ms (4.7% of total)

ival-add: 8.0ms (3.1% of total)

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

exact: 1.0ms (0.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.1%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.2%)

Memory

7.7MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

244×	`accelerator-lowering-fma.f32`
244×	`accelerator-lowering-fma.f64`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
102×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize171.0ms (1.9%)

Memory

-5.5MiB live, 127.4MiB 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	100.0%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	57.9%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

151.0ms	196×	2	valid
8.0ms	60×	1	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-exp: 131.0ms (89.7% of total)

adjust: 5.0ms (3.4% of total)

ival-sub: 4.0ms (2.7% of total)

ival-add: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (+ (- (exp x) 2) (exp (neg x)))>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp (neg x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<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
0.0ms	x	@	0	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	inf	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	-inf	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	0	(- (exp x) 2)
0.0ms	x	@	0	(exp (neg x))

rewrite562.0ms (6.3%)

Memory

-0.0MiB live, 467.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 586×	`-lowering-.f32`
3 586×	`-lowering-.f64`
3 204×	`/-lowering-/.f32`
3 204×	`/-lowering-/.f64`
2 998×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	46	17
2	389	17
3	6856	15
0	8036	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 245

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))) (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 16 binary64) (.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(.f64 (+.f64 (neg.f64 (exp.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 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)
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 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))))

simplify1.3s (14.7%)

Memory

10.7MiB live, 550.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 068×	`accelerator-lowering-fma.f32`
17 068×	`accelerator-lowering-fma.f64`
3 466×	`+-lowering-+.f64`
3 466×	`+-lowering-+.f32`
3 160×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

eval152.0ms (1.7%)

Memory: -19.3MiB live, 60.3MiB allocated
Compiler: Compiled 7 200 to 839 computations (88.3% saved)

prune32.0ms (0.4%)

Memory

18.7MiB live, 94.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	3	294

Accuracy

100.0%

Counts

294 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
▶	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
▶	99.8%	(*.f64 x x)

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))

▶

100.0%

(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))

▶

99.8%

(*.f64 x x)

Compiler

Compiled 34 to 21 computations (38.2% saved)

simplify22.0ms (0.2%)

Memory

7.7MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	cost-diff	(*.f64 x x)

Rules

522×	`accelerator-lowering-fma.f32`
522×	`accelerator-lowering-fma.f64`
350×	`-lowering-.f32`
350×	`-lowering-.f64`
238×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	111
1	52	111
2	138	105
3	342	105
4	552	105
5	621	105
6	622	105
0	622	95

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x x)
x
(* x (* x (+ 1 (* (* x x) 1/12))))
x
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
(* x x)
1/12
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
(* x x)
x
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))
1
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(* x (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360

Outputs
(* x x)
(*.f64 x x)
x
(* x (* x (+ 1 (* (* x x) 1/12))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
x
(* x (+ 1 (* (* x x) 1/12)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* (* x x) 1/360)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(.f64 (.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)

localize65.0ms (0.7%)

Memory

-3.6MiB live, 120.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/360 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)

Samples

36.0ms

256×

valid

Compiler

Compiled 113 to 17 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.2% of total)

const: 7.0ms (30.5% of total)

ival-add: 3.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-21.0MiB live, 18.2MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (* x x)>
#<alt (* x (* x (+ 1 (* (* x x) 1/12))))>
#<alt (* x (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))>
#<alt (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))>
#<alt (* x (* x (+ 1/12 (* (* x x) 1/360))))>
#<alt (* x (+ 1/12 (* (* x x) 1/360)))>
#<alt (* (* x x) 1/360)>

Outputs
#<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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) 1/12)
1.0ms	x	@	inf	(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
0.0ms	x	@	inf	(* x (* x (+ 1 (* (* x x) 1/12))))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

rewrite504.0ms (5.6%)

Memory

22.9MiB live, 818.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 960×	`accelerator-lowering-fma.f32`
7 960×	`accelerator-lowering-fma.f64`
4 894×	`-lowering-.f32`
4 894×	`-lowering-.f64`
2 402×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	91	90
2	705	84
3	6636	84
0	8110	75

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 485

Calls

Call 1

Inputs
(* x x)
(* x (* x (+ 1 (* (* x x) 1/12))))
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(* (* x x) 1/12)
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(* x (+ 1/12 (* (* x x) 1/360)))
(* (* x x) 1/360)

Outputs
(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)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64)))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64)))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))))
(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64)))) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))
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(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64)))))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) #s(literal -1/1728 binary64)) x) (+.f64 #s(literal -1/144 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -1/144 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64)))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/129600 binary64)))) #s(literal -1/144 binary64)) x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x #s(literal 1/12 binary64))))) (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64)))) (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64))) (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/129600 binary64))))) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))) x)
(.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))))) x))
(.f64 (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) (/.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))))))
(.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64)))) x))
(.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64))) (/.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/360 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/360 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/360 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/2985984 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))))))) (+.f64 #s(literal 1/20736 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))) #s(literal 1/144 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))))) (-.f64 #s(literal 1/20736 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64)))))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/1728 binary64) (.f64 #s(literal -1/46656000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/4320 binary64)))))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/360 binary64)) x)

simplify369.0ms (4.1%)

Memory

17.7MiB live, 886.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 142×	`accelerator-lowering-fma.f32`
14 142×	`accelerator-lowering-fma.f64`
4 486×	`-lowering-.f32`
4 486×	`-lowering-.f64`
1 708×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	908
1	146	870
2	322	858
3	1246	858
4	3233	858
5	5582	858
6	6804	858
0	8013	783

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(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)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))

Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* 1/360 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* 1/360 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(.f64 x (.f64 x #s(literal 1/360 binary64)))

eval97.0ms (1.1%)

Memory: -31.8MiB live, 244.0MiB allocated
Compiler: Compiled 21 548 to 1 712 computations (92.1% saved)

prune69.0ms (0.8%)

Memory

27.3MiB live, 215.4MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	670	1	671
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	672	2	674

Accuracy

100.0%

Counts

674 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
✓	99.8%	(*.f64 x x)

Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify11.0ms (0.1%)

Memory

-3.0MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓	cost-diff	(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
✓	cost-diff	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))

Rules

108×	`-lowering-.f32`
108×	`-lowering-.f64`
58×	`accelerator-lowering-fma.f32`
58×	`accelerator-lowering-fma.f64`
46×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	37
1	19	31
2	41	31
3	51	31
4	61	31
5	67	31
6	95	31
7	95	31
0	95	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (+ (* x (* (* x x) 1/12)) x))
x
(+ (* x (* (* x x) 1/12)) x)
(* x (* (* x x) 1/12))
(* (* x x) 1/12)
(* x x)
1/12

Outputs
(* x (+ (* x (* (* x x) 1/12)) x))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
x
(+ (* x (* (* x x) 1/12)) x)
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* x (* (* x x) 1/12))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)

localize39.0ms (0.4%)

Memory

22.7MiB live, 99.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/12 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 12.0ms (61.9% of total)

ival-mult: 6.0ms (30.9% of total)

ival-add: 1.0ms (5.2% of total)

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

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

series3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (* x (+ (* x (* (* x x) 1/12)) x))>
#<alt (+ (* x (* (* x x) 1/12)) x)>
#<alt (* x (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (* x x)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (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

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ (* x (* (* x x) 1/12)) x))
0.0ms	x	@	0	(* x (+ (* x (* (* x x) 1/12)) x))
0.0ms	x	@	-inf	(* x (* (* x x) 1/12))
0.0ms	x	@	inf	(* x (* (* x x) 1/12))
0.0ms	x	@	0	(* x (* (* x x) 1/12))

rewrite556.0ms (6.2%)

Memory

-37.3MiB live, 969.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 832×	`accelerator-lowering-fma.f32`
12 832×	`accelerator-lowering-fma.f64`
4 458×	`-lowering-.f32`
4 458×	`-lowering-.f64`
4 280×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	35
1	32	29
2	220	29
3	1997	29
0	8410	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 304

Calls

Call 1

Inputs
(* x (+ (* x (* (* x x) 1/12)) x))
(+ (* x (* (* x x) 1/12)) x)
(* x (* (* x x) 1/12))
(* (* x x) 1/12)
(* x x)

Outputs
(+.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (.f64 x (+.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))
(fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 x #s(literal 1/12 binary64))) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 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)) #s(literal 1/1728 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x))) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/12 binary64)))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) (.f64 x (+.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))))))
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(.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 x (.f64 x x)))) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/5159780352 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2985984 binary64) (.f64 (.f64 x (.f64 x x)) (.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)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))) (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/20736 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) (.f64 (.f64 (+.f64 (.f64 x (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (.f64 #s(literal 1/144 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x))))
(exp.f64 (log.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (pow.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64)))))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 (.f64 x (*.f64 x x)) (exp.f64 (log.f64 #s(literal 1/12 binary64))))
(.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/12 binary64)))
(.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))
(.f64 (exp.f64 (log.f64 #s(literal 1/12 binary64))) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/12 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)))
(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 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify468.0ms (5.2%)

Memory

0.8MiB live, 438.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 566×	`-lowering-.f32`
8 566×	`-lowering-.f64`
4 186×	`cube-prod`
3 352×	`accelerator-lowering-fma.f32`
3 352×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	360
1	55	324
2	111	324
3	252	324
4	794	324
5	2002	324
6	2770	324
7	3801	324
8	4178	324
9	4335	324
10	4479	324
11	4628	324
12	4983	324
13	6521	324
14	7117	324
15	7295	324
16	7434	324
17	7481	324
18	7493	324
19	7493	324
20	7515	324
21	7537	324
22	7646	324
23	7788	324
0	8860	306

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (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
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval42.0ms (0.5%)

Memory: 28.4MiB live, 103.5MiB allocated
Compiler: Compiled 17 307 to 976 computations (94.4% saved)

prune41.0ms (0.5%)

Memory

-9.3MiB live, 107.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	364	0	364
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	364	2	366

Accuracy

100.0%

Counts

366 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
✓	99.8%	(*.f64 x x)

Compiler

Compiled 67 to 33 computations (50.7% saved)

regimes4.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))

Outputs
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Memory

-19.9MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	21	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 x x)

Outputs
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
(.f64 x (+.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x x)

soundness422.0ms (4.7%)

Memory

16.8MiB live, 290.5MiB allocated

Rules

17 068×	`accelerator-lowering-fma.f32`
17 068×	`accelerator-lowering-fma.f64`
7 960×	`accelerator-lowering-fma.f32`
7 960×	`accelerator-lowering-fma.f64`
4 894×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241
0	15	90
1	91	90
2	705	84
3	6636	84
0	8110	75

Stop Event

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

Compiler

Compiled 66 to 36 computations (45.5% saved)

preprocess90.0ms (1%)

Memory: -57.7MiB live, 138.6MiB allocated
Remove: (abs x)
Compiler: Compiled 166 to 92 computations (44.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21

analyze0.0ms (0%)

sample3.5s (39%)

preprocess42.0ms (0.5%)

explain348.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.2%)

localize171.0ms (1.9%)

series2.0ms (0%)

rewrite562.0ms (6.3%)

simplify1.3s (14.7%)

eval152.0ms (1.7%)

prune32.0ms (0.4%)

simplify22.0ms (0.2%)

localize65.0ms (0.7%)

series8.0ms (0.1%)

rewrite504.0ms (5.6%)

simplify369.0ms (4.1%)

eval97.0ms (1.1%)

prune69.0ms (0.8%)

simplify11.0ms (0.1%)

localize39.0ms (0.4%)

series3.0ms (0%)

rewrite556.0ms (6.2%)

simplify468.0ms (5.2%)

eval42.0ms (0.5%)

prune41.0ms (0.5%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness422.0ms (4.7%)

preprocess90.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21