Metrics for sintan (problem 3.4.5)

analyze370.0ms (2.5%)

Memory

24.0MiB live, 450.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.9%	50.1%	0%	0%	0%	0
0%	0%	49.9%	50.1%	0%	0%	0%	1
0%	0%	49.9%	50.1%	0%	0%	0%	2
0%	0%	49.9%	50.1%	0%	0%	0%	3
0%	0%	49.9%	50.1%	0%	0%	0%	4
0%	0%	49.9%	50.1%	0%	0%	0%	5
0%	0%	49.9%	50.1%	0%	0%	0%	6
0%	0%	49.9%	50.1%	0%	0%	0%	7
0%	0%	49.9%	50.1%	0%	0%	0%	8
0%	0%	49.9%	50.1%	0%	0%	0%	9
0%	0%	49.9%	50.1%	0%	0%	0%	10
0%	0%	49.9%	50.1%	0%	0%	0%	11
0%	0%	49.9%	50.1%	0%	0%	0%	12

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.5s (64.6%)

Memory

91.0MiB live, 11 564.6MiB allocated

Samples

6.3s	4 522×	2	valid
1.7s	1 234×	3	valid
791.0ms	2 410×	1	valid
24.0ms	90×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.5s

ival-tan: 4.7s (54.9% of total)

ival-sin: 2.3s (27.2% of total)

ival-sub: 631.0ms (7.4% of total)

const: 265.0ms (3.1% of total)

adjust: 261.0ms (3.1% of total)

ival-div: 232.0ms (2.7% of total)

ival-<=: 119.0ms (1.4% of total)

ival-and: 12.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

preprocess86.0ms (0.6%)

Memory

-12.9MiB live, 68.3MiB allocated

Algorithm

2×	egg-herbie

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))

Outputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Call 2

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps))))
(neg (/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps)))))

Outputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps))))
(/ (- eps (sin eps)) (- eps (tan eps)))
(neg (/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps)))))
(/ (- eps (sin eps)) (- (tan eps) eps))

Symmetry

(abs eps)

explain719.0ms (4.9%)

Memory

-17.0MiB live, 952.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
162	0	-	-	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
94	0	-	-	`(-.f64 eps (tan.f64 eps))`
93	1	(6.163401357609624e-108)	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	-	`(tan.f64 eps)`
0	0	-	-	`eps`
0	0	-	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	162	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	162
↳	`(-.f64 eps (tan.f64 eps))`	underflow	162
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	94	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	94	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	162
2	94

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

588.0ms	302×	2	valid
29.0ms	52×	3	valid
27.0ms	156×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 620.0ms

ival-tan: 414.0ms (66.8% of total)

ival-sin: 116.0ms (18.7% of total)

adjust: 56.0ms (9% of total)

ival-sub: 27.0ms (4.4% of total)

ival-div: 6.0ms (1% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify49.0ms (0.3%)

Memory

11.4MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 eps (tan.f64 eps))
✓	cost-diff	(sin.f64 eps)
✓	cost-diff	(-.f64 eps (sin.f64 eps))
✓	cost-diff	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(- eps (sin eps))
eps
(sin eps)
(- eps (tan eps))
(tan eps)

Outputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)

localize225.0ms (1.5%)

Memory

1.2MiB live, 438.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	67.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	67.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	37.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

183.0ms	151×	2	valid
15.0ms	78×	1	valid
14.0ms	26×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-tan: 119.0ms (61.8% of total)

ival-sin: 58.0ms (30.1% of total)

ival-sub: 7.0ms (3.6% of total)

adjust: 5.0ms (2.6% of total)

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

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

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

series4.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (- eps (sin eps)) (- eps (tan eps)))>
#<alt (- eps (sin eps))>
#<alt (sin eps)>
#<alt (- eps (tan eps))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	inf	(- eps (tan eps))
0.0ms	eps	@	-inf	(- eps (tan eps))

rewrite376.0ms (2.6%)

Memory

18.3MiB live, 487.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 318×	`-lowering-.f32`
4 318×	`-lowering-.f64`
3 264×	`/-lowering-/.f32`
3 264×	`/-lowering-/.f64`
2 758×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	46	19
2	403	19
3	5950	19
0	8261	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 419

Calls

Call 1

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(- eps (sin eps))
(sin eps)
(- eps (tan eps))

Outputs
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (sin.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps eps)) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps eps)))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps (tan.f64 eps))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps))
(+.f64 (.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) (.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(+.f64 (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 (/.f64 (.f64 eps eps) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))))
(-.f64 (/.f64 (.f64 eps eps) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))))
(-.f64 (/.f64 (.f64 eps (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
(*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (+.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
(.f64 (+.f64 eps (tan.f64 eps)) (.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
(*.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps))
(.f64 (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
(.f64 (+.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (tan.f64 eps)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (+.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (pow.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (.f64 eps eps)))))
(.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (pow.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))

simplify488.0ms (3.3%)

Memory

-19.9MiB live, 558.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 288×	`accelerator-lowering-fma.f32`
12 288×	`accelerator-lowering-fma.f64`
6 122×	`-lowering-.f32`
6 122×	`-lowering-.f64`
1 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps))) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/5040 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps #s(literal 1/120 binary64)))))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))))))))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/15 binary64)))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 eps eps) #s(literal -17/315 binary64))))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -17/315 binary64) (.f64 eps (*.f64 eps #s(literal -62/2835 binary64))))))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))

eval73.0ms (0.5%)

Memory: -4.9MiB live, 69.4MiB allocated
Compiler: Compiled 12 959 to 1 267 computations (90.2% saved)

prune117.0ms (0.8%)

Memory

-18.6MiB live, 112.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	463	4	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	4	468

Accuracy

100.0%

Counts

468 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
▶	100.0%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
▶	99.9%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
▶	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify22.0ms (0.2%)

Memory

-7.1MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
✓	cost-diff	(*.f64 eps eps)
✓	cost-diff	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
✓	cost-diff	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
✓	cost-diff	(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
✓	cost-diff	(*.f64 eps eps)
✓	cost-diff	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
✓	cost-diff	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
✓	cost-diff	(*.f64 eps eps)
✓	cost-diff	(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
✓	cost-diff	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))

Rules

672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
242×	`-lowering-.f32`
242×	`-lowering-.f64`
156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	154
1	59	154
2	151	154
3	301	154
4	514	154
5	578	154
6	579	154
0	579	139

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-1/2
(+ (* 9/40 (* eps eps)) -1/2)
(* 9/40 (* eps eps))
9/40
(* eps eps)
eps
-1/2
(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
(* eps eps)
eps
(+ 9/40 (* eps (* eps -27/2800)))
9/40
(* eps (* eps -27/2800))
(* eps -27/2800)
-27/2800
-1/2
(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))
(* eps eps)
eps
(+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))
9/40
(* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))
(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
-1/2

Outputs
-1/2
#s(literal -1/2 binary64)
(+ (* 9/40 (* eps eps)) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(* 9/40 (* eps eps))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
9/40
#s(literal 9/40 binary64)
(* eps eps)
(*.f64 eps eps)
eps
-1/2
#s(literal -1/2 binary64)
(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(* eps eps)
(*.f64 eps eps)
eps
(+ 9/40 (* eps (* eps -27/2800)))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
9/40
#s(literal 9/40 binary64)
(* eps (* eps -27/2800))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* eps -27/2800)
(*.f64 eps #s(literal -27/2800 binary64))
-27/2800
#s(literal -27/2800 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))))
(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
(* eps eps)
(*.f64 eps eps)
eps
(+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))
(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
9/40
#s(literal 9/40 binary64)
(* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(+ -27/2800 (* (* eps eps) 27/112000))
(+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))
-27/2800
#s(literal -27/2800 binary64)
(* (* eps eps) 27/112000)
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
27/112000
#s(literal 27/112000 binary64)
-1/2
#s(literal -1/2 binary64)

localize98.0ms (0.7%)

Memory

18.8MiB live, 96.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
✓	accuracy	99.7%	(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
✓	accuracy	99.4%	(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
✓	accuracy	99.7%	(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -27/2800 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.7%	(.f64 #s(literal 9/40 binary64) (.f64 eps eps))

Samples

48.0ms

256×

valid

Compiler

Compiled 156 to 22 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 13.0ms (37.2% of total)

ival-mult: 12.0ms (34.3% of total)

const: 9.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (+ (* 9/40 (* eps eps)) -1/2)>
#<alt (* 9/40 (* eps eps))>
#<alt (* eps eps)>
#<alt (+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)>
#<alt (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))>
#<alt (+ 9/40 (* eps (* eps -27/2800)))>
#<alt (+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)>
#<alt (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))>
#<alt (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))>
#<alt (* eps -27/2800)>
#<alt (* eps (* eps -27/2800))>
#<alt (* eps (+ -27/2800 (* (* eps eps) 27/112000)))>
#<alt (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))>
#<alt (* (* eps eps) 27/112000)>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
1.0ms	eps	@	0	(+ (* 9/40 (* eps eps)) -1/2)
0.0ms	eps	@	inf	(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
0.0ms	eps	@	inf	(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
0.0ms	eps	@	inf	(+ (* 9/40 (* eps eps)) -1/2)

rewrite529.0ms (3.6%)

Memory

6.8MiB live, 670.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 326×	`accelerator-lowering-fma.f32`
6 326×	`accelerator-lowering-fma.f64`
4 962×	`-lowering-.f32`
4 962×	`-lowering-.f64`
4 082×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	128
1	134	128
2	1110	128
0	8248	114

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 471

Calls

Call 1

Inputs
(+ (* 9/40 (* eps eps)) -1/2)
(* 9/40 (* eps eps))
(* eps eps)
(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
(+ 9/40 (* eps (* eps -27/2800)))
(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))
(+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))
(* eps -27/2800)
(* eps (* eps -27/2800))
(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
(* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))
(* (* eps eps) 27/112000)

Outputs
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(+.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -9/40 binary64)))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -9/40 binary64)))))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 #s(literal 9/40 binary64) eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))))))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64))) (+.f64 (.f64 (.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -9/40 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -81/1600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -81/1600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -9/40 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 #s(literal 531441/4096000000 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 531441/4096000000 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -729/512000 binary64)))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 531441/4096000000 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) #s(literal 1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 531441/4096000000 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 6561/2560000 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/6400 binary64)))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 6561/2560000 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps eps)))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -81/1600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -9/40 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))))
(.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -81/1600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal -9/40 binary64)))))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 9/40 binary64) eps))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal -19683/21952000000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (.f64 #s(literal -19683/21952000000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps))) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))) (.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps #s(literal 27/112000 binary64)))))) (-.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps (.f64 (.f64 eps eps) (*.f64 eps #s(literal 27/112000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (-.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 (.f64 eps eps) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))) (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal 27/112000 binary64))) eps) (.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal 27/112000 binary64))) eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 (.f64 (.f64 eps eps) (*.f64 eps #s(literal 27/112000 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)))) (-.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (.f64 eps eps)) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) eps)
(.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -19683/21952000000 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 19683/1404928000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal 27/112000 binary64))) #s(literal 27/2800 binary64))))))
(.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -729/12544000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal -27/112000 binary64)))))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 27/112000 binary64)) eps)

simplify366.0ms (2.5%)

Memory

20.0MiB live, 614.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 008×	`accelerator-lowering-fma.f32`
13 008×	`accelerator-lowering-fma.f64`
4 096×	`-lowering-.f32`
4 096×	`-lowering-.f64`
1 370×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	1260
1	153	1260
2	404	1260
3	1072	1260
4	3104	1252
5	6009	1252
0	8222	1164

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(* -27/2800 (pow eps 4))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(* -27/2800 (pow eps 4))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
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eval102.0ms (0.7%)

Memory: -13.6MiB live, 253.7MiB allocated
Compiler: Compiled 25 628 to 1 859 computations (92.7% saved)

prune61.0ms (0.4%)

Memory

4.3MiB live, 164.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	692	1	693
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	693	4	697

Accuracy

100.0%

Counts

697 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))
✓	100.0%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify10.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))

Rules

152×	`accelerator-lowering-fma.f32`
152×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
60×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	31	81
2	80	81
3	178	81
4	241	81
5	242	81
0	242	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))))
1
(/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
(+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))
-1/2
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))
eps
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(+ 9/40 (* (* eps eps) -27/2800))
9/40
(* (* eps eps) -27/2800)
(* eps eps)
-27/2800

Outputs
(/ 1 (/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
1
#s(literal 1 binary64)
(/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))
(+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
-1/2
#s(literal -1/2 binary64)
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))
(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
eps
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(+ 9/40 (* (* eps eps) -27/2800))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
9/40
#s(literal 9/40 binary64)
(* (* eps eps) -27/2800)
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* eps eps)
(*.f64 eps eps)
-27/2800
#s(literal -27/2800 binary64)

localize122.0ms (0.8%)

Memory

-52.8MiB live, 99.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))
✓	accuracy	99.9%	(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	accuracy	99.7%	(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))

Samples

97.0ms	237×	0	valid
2.0ms	6×	3	valid
2.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 87 to 15 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 74.0ms (83% of total)

const: 7.0ms (7.9% of total)

ival-div: 4.0ms (4.5% of total)

ival-add: 3.0ms (3.4% of total)

adjust: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))))>
#<alt (/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))))>
#<alt (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))>
#<alt (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))>
#<alt (* (* eps eps) -27/2800)>
#<alt (* eps (+ 9/40 (* (* eps eps) -27/2800)))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt -2>
#<alt (- (* -9/10 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4131/28000 (pow eps 2)) 513/1400)) 9/10)) 2)>
#<alt (/ -2800/27 (pow eps 4))>
#<alt (* -1 (/ (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2)))) (pow eps 4)))>
#<alt (/ (- (* -1 (/ (+ 196000/81 (* 37240000/729 (/ 1 (pow eps 2)))) (pow eps 2))) 2800/27) (pow eps 4))>
#<alt (/ (- (* -1 (/ (+ 37240000/729 (* 2332400000/2187 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2))))) (pow eps 4))>
#<alt (/ -2800/27 (pow eps 4))>
#<alt (* -1 (/ (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2)))) (pow eps 4)))>
#<alt (/ (- (* -1 (/ (+ 196000/81 (* 37240000/729 (/ 1 (pow eps 2)))) (pow eps 2))) 2800/27) (pow eps 4))>
#<alt (/ (- (* -1 (/ (+ 37240000/729 (* 2332400000/2187 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2))))) (pow eps 4))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* 9/40 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
0.0ms	eps	@	-inf	(* eps (+ 9/40 (* (* eps eps) -27/2800)))
0.0ms	eps	@	0	(/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
0.0ms	eps	@	0	(* eps (+ 9/40 (* (* eps eps) -27/2800)))
0.0ms	eps	@	inf	(* eps (+ 9/40 (* (* eps eps) -27/2800)))

rewrite432.0ms (2.9%)

Memory

17.4MiB live, 826.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 352×	`-lowering-.f32`
4 352×	`-lowering-.f64`
4 352×	`accelerator-lowering-fma.f32`
4 352×	`accelerator-lowering-fma.f64`
1 868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	76	66
2	513	66
3	5323	66
0	8096	58

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 481

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))))
(/ 1 (+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
(+ -1/2 (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))))
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))
(* (* eps eps) -27/2800)
(* eps (+ 9/40 (* (* eps eps) -27/2800)))

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
(+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) #s(literal -1 binary64)))
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))))))
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 #s(literal 0 binary64) (.f64 eps eps)))) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 9/40 binary64)))) (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(exp.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))) #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (+.f64 (.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64)))
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(/.f64 (+.f64 (.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 eps #s(literal 9/40 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))))) (-.f64 (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal -243/112000 binary64)) (.f64 eps eps)))))
(/.f64 (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64)))))
(/.f64 (.f64 eps (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))))) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64)))))
(/.f64 (.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64)))) (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))) (.f64 eps (.f64 eps eps))))) (neg.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 eps #s(literal 9/40 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64)))))) (neg.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64))))))
(/.f64 (neg.f64 (.f64 eps (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64)))))) (+.f64 #s(literal -81/1600 binary64) (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))))
(/.f64 (neg.f64 (.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal 27/2800 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64))))) (.f64 (.f64 eps eps) #s(literal 81/1600 binary64))) (-.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 eps #s(literal 9/40 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
(/.f64 (.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
(/.f64 (.f64 eps (+.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64)))) #s(literal -729/64000 binary64))) (+.f64 #s(literal -81/1600 binary64) (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))))
(/.f64 (.f64 eps (+.f64 #s(literal -81/1600 binary64) (neg.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal 27/2800 binary64)))))
(/.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)))) #s(literal -81/1600 binary64))) (+.f64 (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal -9/40 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64)))) #s(literal -729/64000 binary64)) eps) (+.f64 #s(literal -81/1600 binary64) (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -81/1600 binary64) (neg.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64)))) eps) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal 27/2800 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)))) #s(literal -81/1600 binary64)) eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal -9/40 binary64)))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 eps #s(literal 9/40 binary64))))) (+.f64 (.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))) (.f64 eps (.f64 eps eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64)))) (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64)))) (.f64 eps (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -19683/21952000000 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64))) (.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal -729/7840000 binary64))))) #s(literal -1 binary64))
(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) eps)
(.f64 (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))) eps))
(.f64 (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64)))) (/.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))))
(.f64 (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64)))) eps))
(.f64 (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64))) (/.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal 27/2800 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal 81/1600 binary64)) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (*.f64 eps #s(literal 9/40 binary64)))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal 27/2800 binary64))))))
(.f64 (.f64 eps (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))))
(.f64 (.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal 27/2800 binary64)))))
(.f64 (/.f64 (.f64 eps (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))))) (+.f64 #s(literal 531441/4096000000 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))))))) (+.f64 #s(literal 6561/2560000 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))) (-.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))) #s(literal 81/1600 binary64)))))
(.f64 (/.f64 (.f64 eps (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))))) (-.f64 #s(literal 6561/2560000 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64)))))) (-.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64)))))
(.f64 (/.f64 (.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64)))) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64)))) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(.f64 (/.f64 (.f64 eps (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -729/7840000 binary64)))) (-.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -19683/21952000000 binary64))))) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 729/7840000 binary64)) #s(literal -243/112000 binary64)))))

simplify305.0ms (2.1%)

Memory

-6.6MiB live, 558.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 450×	`accelerator-lowering-fma.f32`
6 450×	`accelerator-lowering-fma.f64`
3 788×	`-lowering-.f32`
3 788×	`-lowering-.f64`
2 104×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	694
1	175	694
2	429	688
3	1072	688
4	3026	688
0	8337	642

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -4131/28000 (pow eps 2)) 513/1400)) 9/10)) 2)
(/ -2800/27 (pow eps 4))
(* -1 (/ (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2)))) (pow eps 4)))
(/ (- (* -1 (/ (+ 196000/81 (* 37240000/729 (/ 1 (pow eps 2)))) (pow eps 2))) 2800/27) (pow eps 4))
(/ (- (* -1 (/ (+ 37240000/729 (* 2332400000/2187 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2))))) (pow eps 4))
(/ -2800/27 (pow eps 4))
(* -1 (/ (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2)))) (pow eps 4)))
(/ (- (* -1 (/ (+ 196000/81 (* 37240000/729 (/ 1 (pow eps 2)))) (pow eps 2))) 2800/27) (pow eps 4))
(/ (- (* -1 (/ (+ 37240000/729 (* 2332400000/2187 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2))))) (pow eps 4))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 3))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) #s(literal -1/2 binary64))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(+.f64 (.f64 eps (.f64 eps #s(literal -9/10 binary64))) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -9/10 binary64) (.f64 (.f64 eps eps) #s(literal -513/1400 binary64))))) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -4131/28000 (pow eps 2)) 513/1400)) 9/10)) 2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -9/10 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -513/1400 binary64) (.f64 (.f64 eps eps) #s(literal -4131/28000 binary64)))))) #s(literal -2 binary64))
(/ -2800/27 (pow eps 4))
(/.f64 #s(literal -2800/27 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))
(* -1 (/ (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2)))) (pow eps 4)))
(/.f64 (+.f64 #s(literal -2800/27 binary64) (/.f64 #s(literal -196000/81 binary64) (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))
(/ (- (* -1 (/ (+ 196000/81 (* 37240000/729 (/ 1 (pow eps 2)))) (pow eps 2))) 2800/27) (pow eps 4))
(/.f64 (-.f64 #s(literal -2800/27 binary64) (/.f64 (+.f64 #s(literal 196000/81 binary64) (/.f64 #s(literal 37240000/729 binary64) (.f64 eps eps))) (.f64 eps eps))) (.f64 eps (.f64 eps (*.f64 eps eps))))
(/ (- (* -1 (/ (+ 37240000/729 (* 2332400000/2187 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2))))) (pow eps 4))
(/.f64 (+.f64 #s(literal -2800/27 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 (/.f64 (+.f64 #s(literal 37240000/729 binary64) (/.f64 #s(literal 2332400000/2187 binary64) (.f64 eps eps))) (.f64 eps eps)) #s(literal 196000/81 binary64)))) (.f64 eps (.f64 eps (*.f64 eps eps))))
(/ -2800/27 (pow eps 4))
(/.f64 #s(literal -2800/27 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))
(* -1 (/ (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2)))) (pow eps 4)))
(/.f64 (+.f64 #s(literal -2800/27 binary64) (/.f64 #s(literal -196000/81 binary64) (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))
(/ (- (* -1 (/ (+ 196000/81 (* 37240000/729 (/ 1 (pow eps 2)))) (pow eps 2))) 2800/27) (pow eps 4))
(/.f64 (-.f64 #s(literal -2800/27 binary64) (/.f64 (+.f64 #s(literal 196000/81 binary64) (/.f64 #s(literal 37240000/729 binary64) (.f64 eps eps))) (.f64 eps eps))) (.f64 eps (.f64 eps (*.f64 eps eps))))
(/ (- (* -1 (/ (+ 37240000/729 (* 2332400000/2187 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2800/27 (* 196000/81 (/ 1 (pow eps 2))))) (pow eps 4))
(/.f64 (+.f64 #s(literal -2800/27 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 (/.f64 (+.f64 #s(literal 37240000/729 binary64) (/.f64 #s(literal 2332400000/2187 binary64) (.f64 eps eps))) (.f64 eps eps)) #s(literal 196000/81 binary64)))) (.f64 eps (.f64 eps (*.f64 eps eps))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) #s(literal -1/2 binary64))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(+.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64)))))) (.f64 (.f64 eps eps) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal 27/2800 binary64))))))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* -27/2800 (pow eps 3))
(.f64 (.f64 eps eps) (*.f64 eps #s(literal -27/2800 binary64)))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* -27/2800 (pow eps 3))
(.f64 (.f64 eps eps) (*.f64 eps #s(literal -27/2800 binary64)))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(.f64 eps (-.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal 27/2800 binary64)))))

eval126.0ms (0.9%)

Memory: 35.0MiB live, 146.6MiB allocated
Compiler: Compiled 24 303 to 1 604 computations (93.4% saved)

prune64.0ms (0.4%)

Memory

3.9MiB live, 118.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	553	4	557

Accuracy

100.0%

Counts

557 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))
✓	100.0%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 109 to 64 computations (41.3% saved)

regimes7.0ms (0%)

Memory

-26.1MiB live, 12.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Outputs

(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))

Calls

2 calls:

4.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
2.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))))

Outputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
100.0%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))

Outputs
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.9%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.6%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	34	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(literal -1/2 binary64)

soundness358.0ms (2.4%)

Memory

-33.6MiB live, 253.7MiB allocated

Rules

12 288×	`accelerator-lowering-fma.f32`
12 288×	`accelerator-lowering-fma.f64`
6 122×	`-lowering-.f32`
6 122×	`-lowering-.f64`
1 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 66 to 39 computations (40.9% saved)

preprocess52.0ms (0.4%)

Memory: 9.3MiB live, 166.1MiB allocated
Remove: (abs eps)
Compiler: Compiled 314 to 186 computations (40.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22

analyze370.0ms (2.5%)

sample9.5s (64.6%)

preprocess86.0ms (0.6%)

explain719.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.3%)

localize225.0ms (1.5%)

series4.0ms (0%)

rewrite376.0ms (2.6%)

simplify488.0ms (3.3%)

eval73.0ms (0.5%)

prune117.0ms (0.8%)

simplify22.0ms (0.2%)

localize98.0ms (0.7%)

series9.0ms (0.1%)

rewrite529.0ms (3.6%)

simplify366.0ms (2.5%)

eval102.0ms (0.7%)

prune61.0ms (0.4%)

simplify10.0ms (0.1%)

localize122.0ms (0.8%)

series2.0ms (0%)

rewrite432.0ms (2.9%)

simplify305.0ms (2.1%)

eval126.0ms (0.9%)

prune64.0ms (0.4%)

regimes7.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness358.0ms (2.4%)

preprocess52.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22