Metrics for logq (problem 3.4.3)

analyze3.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.8%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.7s (39.7%)

Memory

19.5MiB live, 3 400.6MiB allocated

Samples

1.4s	3 045×	2	valid
962.0ms	4 914×	1	valid
21.0ms	291×	0	valid
3.0ms	6×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-log: 1.2s (61.5% of total)

ival-div: 184.0ms (9.1% of total)

adjust: 174.0ms (8.6% of total)

ival-sub: 138.0ms (6.8% of total)

ival-add: 108.0ms (5.3% of total)

ival-<: 102.0ms (5% of total)

ival-fabs: 52.0ms (2.6% of total)

exact: 13.0ms (0.6% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

preprocess38.0ms (0.6%)

Memory

33.4MiB live, 72.5MiB allocated

Algorithm

2×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
160×	`times-frac`
134×	`associate-l`
128×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	30	25
2	53	25
3	112	25
4	225	25
5	500	25
6	965	25
7	1001	25
8	1009	25
0	6	8
1	14	8
2	20	8
3	31	8
4	54	8
5	88	8
6	123	8
7	196	8
8	317	8
9	484	8
10	515	8
0	515	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (/ (- 1 eps) (+ 1 eps)))

Outputs
(log (/ (- 1 eps) (+ 1 eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Call 2

Inputs
(log (/ (- 1 eps) (+ 1 eps)))
(log (/ (- 1 (neg eps)) (+ 1 (neg eps))))
(neg (log (/ (- 1 (neg eps)) (+ 1 (neg eps)))))

Outputs
(log (/ (- 1 eps) (+ 1 eps)))
(log (/ (- 1 (neg eps)) (+ 1 (neg eps))))
(log (/ (+ 1 eps) (- 1 eps)))
(neg (log (/ (- 1 (neg eps)) (+ 1 (neg eps)))))
(neg (log (/ (+ 1 eps) (- 1 eps))))

explain363.0ms (5.3%)

Memory

2.5MiB live, 280.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	-	-	`eps`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
0	-	-	`(-.f64 #s(literal 1 binary64) eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

120.0ms	170×	2	valid
88.0ms	324×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-log: 98.0ms (64.3% of total)

adjust: 29.0ms (19% of total)

ival-div: 11.0ms (7.2% of total)

ival-sub: 6.0ms (3.9% of total)

ival-add: 6.0ms (3.9% of total)

exact: 1.0ms (0.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify46.0ms (0.7%)

Memory

-7.7MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	(-.f64 #s(literal 1 binary64) eps)
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	cost-diff	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
1	14	23
2	20	23
3	31	23
4	54	23
5	88	23
6	123	23
7	196	23
8	317	23
9	484	23
10	515	23
0	515	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (/ (- 1 eps) (+ 1 eps)))
(/ (- 1 eps) (+ 1 eps))
(- 1 eps)
1
eps
(+ 1 eps)

Outputs
(log (/ (- 1 eps) (+ 1 eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/ (- 1 eps) (+ 1 eps))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
eps
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)

localize122.0ms (1.8%)

Memory

5.8MiB live, 124.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	accuracy	8.0%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

62.0ms	85×	2	valid
48.0ms	162×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-log: 40.0ms (52.5% of total)

ival-div: 26.0ms (34.1% of total)

adjust: 3.0ms (3.9% of total)

ival-sub: 3.0ms (3.9% of total)

ival-add: 3.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-31.0MiB live, 8.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log (/ (- 1 eps) (+ 1 eps)))>
#<alt (/ (- 1 eps) (+ 1 eps))>
#<alt (- 1 eps)>
#<alt (+ 1 eps)>

Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))>
#<alt 1>
#<alt (+ 1 (* -2 eps))>
#<alt (+ 1 (* eps (- (* 2 eps) 2)))>
#<alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))>
#<alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	eps	@	inf	(/ (- 1 eps) (+ 1 eps))
1.0ms	eps	@	0	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	-inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(- 1 eps)

rewrite265.0ms (3.8%)

Memory

31.8MiB live, 348.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 220×	`accelerator-lowering-fma.f32`
2 220×	`accelerator-lowering-fma.f64`
2 058×	`-lowering-.f32`
2 058×	`-lowering-.f64`
1 842×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	40	21
2	324	21
3	4552	8
0	10086	8

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 304

Calls

Call 1

Inputs
(log (/ (- 1 eps) (+ 1 eps)))
(/ (- 1 eps) (+ 1 eps))
(- 1 eps)
(+ 1 eps)

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 eps #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (neg.f64 eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (neg.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) eps))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(exp.f64 (log1p.f64 eps))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 eps)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 eps))
(-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (/.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (neg.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (neg.f64 eps) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (neg.f64 (.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (neg.f64 (.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) eps))
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(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))

simplify263.0ms (3.8%)

Memory

3.7MiB live, 403.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 508×	`accelerator-lowering-fma.f32`
8 508×	`accelerator-lowering-fma.f64`
3 488×	`-lowering-.f32`
3 488×	`-lowering-.f64`
1 504×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	295
1	220	282
2	488	274
3	1301	270
4	2859	270
5	6046	270
0	8576	258

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))) (.f64 eps eps))) eps))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))) (.f64 eps eps))) eps))
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))

eval46.0ms (0.7%)

Memory: -22.5MiB live, 89.8MiB allocated
Compiler: Compiled 8 266 to 979 computations (88.2% saved)

prune43.0ms (0.6%)

Memory

18.6MiB live, 101.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	347	5	352
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	347	6	353

Accuracy

100.0%

Counts

353 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
▶	99.8%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
▶	99.8%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
▶	99.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.0%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	5.2%	#s(literal 0 binary64)

Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify37.0ms (0.5%)

Memory

-1.2MiB live, 75.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	cost-diff	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	cost-diff	(*.f64 eps #s(literal -2/3 binary64))
✓	cost-diff	(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	cost-diff	(*.f64 #s(literal -2 binary64) eps)
✓	cost-diff	(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
✓	cost-diff	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Rules

1 312×	`accelerator-lowering-fma.f32`
1 312×	`accelerator-lowering-fma.f64`
402×	`-lowering-.f32`
402×	`-lowering-.f64`
356×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	171
1	86	171
2	177	171
3	397	171
4	778	171
5	1058	171
6	1082	171
7	1085	171
0	1085	151

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))
eps
(+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2)
(* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))
(+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3)
(* eps (+ (* (* eps eps) -2/7) -2/5))
(+ (* (* eps eps) -2/7) -2/5)
(* eps eps)
-2/7
-2/5
-2/3
-2
0
(* -2 eps)
-2
eps
(* eps (+ (* eps (* eps -2/3)) -2))
eps
(+ (* eps (* eps -2/3)) -2)
(* eps -2/3)
-2/3
-2
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
eps
(+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2)
(* eps (+ (* eps (* eps -2/5)) -2/3))
(+ (* eps (* eps -2/5)) -2/3)
(* eps -2/5)
-2/5
-2/3
-2

Outputs
(* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(* eps (+ (* (* eps eps) -2/7) -2/5))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(+ (* (* eps eps) -2/7) -2/5)
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* eps eps)
(*.f64 eps eps)
-2/7
#s(literal -2/7 binary64)
-2/5
#s(literal -2/5 binary64)
-2/3
#s(literal -2/3 binary64)
-2
#s(literal -2 binary64)
0
#s(literal 0 binary64)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
-2
#s(literal -2 binary64)
eps
(* eps (+ (* eps (* eps -2/3)) -2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(+ (* eps (* eps -2/3)) -2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* eps -2/3)
(*.f64 eps #s(literal -2/3 binary64))
-2/3
#s(literal -2/3 binary64)
-2
#s(literal -2 binary64)
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* eps (+ (* eps (* eps -2/5)) -2/3))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(+ (* eps (* eps -2/5)) -2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* eps -2/5)
(*.f64 eps #s(literal -2/5 binary64))
-2/5
#s(literal -2/5 binary64)
-2/3
#s(literal -2/3 binary64)
-2
#s(literal -2 binary64)

localize101.0ms (1.5%)

Memory

-24.7MiB live, 262.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/5 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	100.0%	(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
✓	accuracy	99.5%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 24.0ms (46.3% of total)

const: 21.0ms (40.5% of total)

ival-add: 6.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))>
#<alt (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2)>
#<alt (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))>
#<alt (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3)>
#<alt (* -2 eps)>
#<alt (* eps (+ (* eps (* eps -2/3)) -2))>
#<alt (+ (* eps (* eps -2/3)) -2)>
#<alt (* eps -2/3)>
#<alt (* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))>
#<alt (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2)>
#<alt (* eps (+ (* eps (* eps -2/5)) -2/3))>
#<alt (+ (* eps (* eps -2/5)) -2/3)>
#<alt (* eps (+ (* (* eps eps) -2/7) -2/5))>
#<alt (* eps -2/5)>

Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(* eps (+ (* eps (* eps -2/3)) -2))
1.0ms	eps	@	inf	(* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))
1.0ms	eps	@	inf	(* eps (+ (* eps (* eps -2/3)) -2))
0.0ms	eps	@	inf	(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
0.0ms	eps	@	inf	(* eps (+ (* (* eps eps) -2/7) -2/5))

rewrite445.0ms (6.4%)

Memory

-38.9MiB live, 608.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 936×	`accelerator-lowering-fma.f32`
6 936×	`accelerator-lowering-fma.f64`
4 980×	`-lowering-.f32`
4 980×	`-lowering-.f64`
3 996×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	146
1	160	146
2	1165	146
0	8319	127

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 467

Calls

Call 1

Inputs
(* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))
(+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2)
(* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))
(+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3)
(* -2 eps)
(* eps (+ (* eps (* eps -2/3)) -2))
(+ (* eps (* eps -2/3)) -2)
(* eps -2/3)
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
(+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2)
(* eps (+ (* eps (* eps -2/5)) -2/3))
(+ (* eps (* eps -2/5)) -2/3)
(* eps (+ (* (* eps eps) -2/7) -2/5))
(* eps -2/5)

Outputs
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) (.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))))) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 #s(literal 2 binary64) eps))) (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (*.f64 #s(literal 2 binary64) eps))))
(fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 eps #s(literal -2 binary64) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))))
(fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))))) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))) (.f64 eps #s(literal -2 binary64))))))
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(/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64))) (+.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (.f64 (*.f64 eps eps) #s(literal -4/35 binary64))))
(/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)) eps) (+.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (.f64 (*.f64 eps eps) #s(literal -4/35 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64)) eps) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/125 binary64) (.f64 eps (.f64 eps eps))))) (neg.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 #s(literal 2/5 binary64) eps)))) (neg.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (*.f64 #s(literal 2/5 binary64) eps))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (.f64 (*.f64 eps eps) #s(literal -4/35 binary64)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)) eps)) (neg.f64 (+.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (.f64 (*.f64 eps eps) #s(literal -4/35 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64)) eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64)))
(/.f64 (fma.f64 #s(literal -8/125 binary64) (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 eps eps) #s(literal 4/25 binary64) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)))) (.f64 (.f64 eps #s(literal -2/5 binary64)) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))))) (-.f64 (.f64 eps #s(literal -2/5 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) eps)
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/125 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))) (.f64 eps #s(literal -2/5 binary64)))))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 #s(literal 2/5 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 #s(literal 2/5 binary64) eps))))
(.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (.f64 (.f64 eps eps) #s(literal -4/35 binary64)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))
(.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)) eps) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (.f64 (.f64 eps eps) #s(literal -4/35 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64)) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

simplify328.0ms (4.8%)

Memory

31.4MiB live, 423.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 476×	`accelerator-lowering-fma.f32`
12 476×	`accelerator-lowering-fma.f64`
4 644×	`-lowering-.f32`
4 644×	`-lowering-.f64`
2 172×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1438
1	355	1438
2	1347	1408
3	3858	1402
0	8450	1323

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)

Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
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(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(.f64 #s(literal -2/7 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(.f64 #s(literal -2/7 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))

eval85.0ms (1.2%)

Memory: 14.7MiB live, 127.8MiB allocated
Compiler: Compiled 23 608 to 1 991 computations (91.6% saved)

prune64.0ms (0.9%)

Memory

-17.8MiB live, 107.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	633	2	635
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	633	8	641

Accuracy

100.0%

Counts

641 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
▶	99.9%	(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
✓	99.9%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	99.8%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	99.8%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.0%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.2%	#s(literal 0 binary64)

Compiler

Compiled 89 to 58 computations (34.8% saved)

simplify34.0ms (0.5%)

Memory

0.4MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 eps #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
✓	cost-diff	0	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))

Rules

1 312×	`accelerator-lowering-fma.f32`
1 312×	`accelerator-lowering-fma.f64`
402×	`-lowering-.f32`
402×	`-lowering-.f64`
290×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
1	52	102
2	131	102
3	267	102
4	628	102
5	1240	102
6	1358	102
7	1366	102
0	1366	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)) (* eps eps)) (* eps -2))
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3))
eps
(+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)
(* eps (+ (* eps (* eps -2/7)) -2/5))
(+ (* eps (* eps -2/7)) -2/5)
(* eps -2/7)
-2/7
-2/5
-2/3
(* eps eps)
(* eps -2)
-2
(+ (* (* (* eps eps) -2/3) eps) (* eps -2))
(* (* eps eps) -2/3)
(* eps eps)
eps
-2/3
(* eps -2)
-2

Outputs
(+ (* (* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)) (* eps eps)) (* eps -2))
(.f64 eps (fma.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)))
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3))
(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)))
eps
(+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
(* eps (+ (* eps (* eps -2/7)) -2/5))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(+ (* eps (* eps -2/7)) -2/5)
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* eps -2/7)
(*.f64 eps #s(literal -2/7 binary64))
-2/7
#s(literal -2/7 binary64)
-2/5
#s(literal -2/5 binary64)
-2/3
#s(literal -2/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* eps -2)
(*.f64 eps #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ (* (* (* eps eps) -2/3) eps) (* eps -2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* (* eps eps) -2/3)
(.f64 eps (.f64 eps #s(literal -2/3 binary64)))
(* eps eps)
(*.f64 eps eps)
eps
-2/3
#s(literal -2/3 binary64)
(* eps -2)
(*.f64 eps #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize64.0ms (0.9%)

Memory

-4.7MiB live, 74.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 eps #s(literal -2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
✓	accuracy	100.0%	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/7 binary64))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 98 to 21 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 14.0ms (47.2% of total)

const: 11.0ms (37.1% of total)

ival-add: 4.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (+ (* (* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)) (* eps eps)) (* eps -2))>
#<alt (* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3))>
#<alt (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)>
#<alt (* eps (+ (* eps (* eps -2/7)) -2/5))>
#<alt (+ (* (* (* eps eps) -2/3) eps) (* eps -2))>
#<alt (* (* eps eps) -2/3)>
#<alt (* eps eps)>
#<alt (* eps -2)>
#<alt (* eps -2/7)>

Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/5 eps)>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (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 (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(+ (* (* (* eps eps) -2/3) eps) (* eps -2))
0.0ms	eps	@	-inf	(* eps -2/7)
0.0ms	eps	@	inf	(* eps -2/7)
0.0ms	eps	@	0	(* eps -2/7)
0.0ms	eps	@	inf	(+ (* (* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)) (* eps eps)) (* eps -2))

rewrite456.0ms (6.6%)

Memory

24.7MiB live, 457.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 542×	`accelerator-lowering-fma.f32`
12 542×	`accelerator-lowering-fma.f64`
6 984×	`-lowering-.f32`
6 984×	`-lowering-.f64`
3 322×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	85
1	105	81
2	827	81
0	8659	72

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 343

Calls

Call 1

Inputs
(+ (* (* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)) (* eps eps)) (* eps -2))
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3))
(+ (* eps (* eps (+ (* eps (* eps -2/7)) -2/5))) -2/3)
(* eps (+ (* eps (* eps -2/7)) -2/5))
(+ (* (* (* eps eps) -2/3) eps) (* eps -2))
(* (* eps eps) -2/3)
(* eps eps)
(* eps -2)
(* eps -2/7)

Outputs
(+.f64 (.f64 (fma.f64 eps (.f64 eps (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
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(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)))))) (neg.f64 (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))))) (+.f64 (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 4/3 binary64)))))
(/.f64 (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))) #s(literal 9 binary64)) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64)) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -8 binary64))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))) (fma.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)))))) (.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (fma.f64 eps (.f64 eps #s(literal 4 binary64)) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal 4/9 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (.f64 (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 4/3 binary64))))))
(.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)))))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))) (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))))))
(.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 eps) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 4/3 binary64)))))))
(.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 eps (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 eps (.f64 eps #s(literal -2/3 binary64)))))))
(.f64 (/.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) eps) (/.f64 (.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))))
(.f64 eps (.f64 eps #s(literal -2/3 binary64)))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(.f64 (.f64 eps #s(literal -2/3 binary64)) 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 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2/7 binary64))
(*.f64 #s(literal -2/7 binary64) eps)

simplify330.0ms (4.8%)

Memory

-20.6MiB live, 366.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 840×	`accelerator-lowering-fma.f32`
9 840×	`accelerator-lowering-fma.f64`
3 224×	`-lowering-.f32`
3 224×	`-lowering-.f64`
2 720×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	810
1	244	810
2	850	796
3	2503	792
4	5707	792
0	8171	758

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/5 eps)
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (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)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))) (+.f64 (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/7 (pow eps 4))
(.f64 eps (.f64 #s(literal -2/7 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* -2/7 (pow eps 4))
(.f64 eps (.f64 #s(literal -2/7 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(.f64 #s(literal -2/7 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(.f64 #s(literal -2/7 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 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)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))

eval68.0ms (1%)

Memory: 35.1MiB live, 113.6MiB allocated
Compiler: Compiled 19 730 to 1 310 computations (93.4% saved)

prune48.0ms (0.7%)

Memory

-17.4MiB live, 97.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	483	0	483
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	483	8	491

Accuracy

100.0%

Counts

491 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
✓	99.9%	(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
✓	99.9%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	99.8%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	99.8%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.0%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.2%	#s(literal 0 binary64)

Compiler

Compiled 171 to 94 computations (45% saved)

regimes8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Outputs

(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))

Calls

3 calls:

3.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes13.0ms (0.2%)

Memory

-37.3MiB live, 11.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Outputs
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Calls

3 calls:

9.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Outputs
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Calls

3 calls:

2.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.8%	1	`eps`
99.8%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))

Outputs
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))

Calls

3 calls:

2.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.8%	1	`eps`
99.8%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))

Outputs
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))

Calls

3 calls:

2.0ms	eps
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.8%	1	`eps`
99.8%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Memory

-29.5MiB live, 9.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)

Outputs
(*.f64 #s(literal -2 binary64) eps)

Calls

3 calls:

4.0ms	eps
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.4%	1	`eps`
99.4%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	eps
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
5.2%	1	`eps`
5.2%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	73
1	43	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
#s(literal 0 binary64)

Outputs
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal 0 binary64)

soundness756.0ms (10.9%)

Memory

-2.9MiB live, 306.5MiB allocated

Rules

8 508×	`accelerator-lowering-fma.f32`
8 508×	`accelerator-lowering-fma.f64`
6 936×	`accelerator-lowering-fma.f32`
6 936×	`accelerator-lowering-fma.f64`
4 980×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	40	21
2	324	21
3	4552	8
0	10086	8
0	27	146
1	160	146
2	1165	146
0	8319	127
0	89	295
1	220	282
2	488	274
3	1301	270
4	2859	270
5	6046	270
0	8576	258

Stop Event

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

Compiler

Compiled 144 to 76 computations (47.2% saved)

preprocess52.0ms (0.8%)

Memory: 28.2MiB live, 103.1MiB allocated
Compiler: Compiled 180 to 82 computations (54.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	23
1	14	23
2	20	23
3	31	23
4	54	23
5	88	23
6	123	23
7	196	23
8	317	23
9	484	23
10	515	23
0	515	23

Iter	Nodes	Cost
0	6	23
1	14	23
2	20	23
3	31	23
4	54	23
5	88	23
6	123	23
7	196	23
8	317	23
9	484	23
10	515	23
0	515	23

analyze3.0ms (0%)

sample2.7s (39.7%)

preprocess38.0ms (0.6%)

explain363.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.7%)

localize122.0ms (1.8%)

series33.0ms (0.5%)

rewrite265.0ms (3.8%)

simplify263.0ms (3.8%)

eval46.0ms (0.7%)

prune43.0ms (0.6%)

simplify37.0ms (0.5%)

localize101.0ms (1.5%)

series11.0ms (0.2%)

rewrite445.0ms (6.4%)

simplify328.0ms (4.8%)

eval85.0ms (1.2%)

prune64.0ms (0.9%)

simplify34.0ms (0.5%)

localize64.0ms (0.9%)

series4.0ms (0.1%)

rewrite456.0ms (6.6%)

simplify330.0ms (4.8%)

eval68.0ms (1%)

prune48.0ms (0.7%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness756.0ms (10.9%)

preprocess52.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	23
1	14	23
2	20	23
3	31	23
4	54	23
5	88	23
6	123	23
7	196	23
8	317	23
9	484	23
10	515	23
0	515	23