Metrics for logq (problem 3.4.3)

analyze3.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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 (41.3%)

Memory

59.2MiB live, 3 221.6MiB allocated

Samples

1.3s	3 193×	2	valid
913.0ms	4 773×	1	valid
32.0ms	284×	0	valid
3.0ms	6×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-log: 1.1s (59.6% of total)

adjust: 212.0ms (11.1% of total)

ival-div: 174.0ms (9.1% of total)

ival-sub: 115.0ms (6% of total)

ival-add: 107.0ms (5.6% of total)

ival-<: 79.0ms (4.1% of total)

ival-fabs: 61.0ms (3.2% of total)

exact: 15.0ms (0.8% of total)

ival-assert: 8.0ms (0.4% of total)

Bogosity

preprocess33.0ms (0.5%)

Memory

0.9MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
84×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
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)))

explain196.0ms (3%)

Memory

-45.5MiB live, 173.1MiB 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

72.0ms	192×	2	valid
52.0ms	300×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 69.0ms (67.1% of total)

adjust: 11.0ms (10.7% of total)

ival-div: 9.0ms (8.8% of total)

ival-sub: 6.0ms (5.8% of total)

ival-add: 6.0ms (5.8% of total)

exact: 1.0ms (1% of total)

ival-true: 1.0ms (1% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.8%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify16.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB 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)

localize87.0ms (1.3%)

Memory

-21.9MiB live, 90.3MiB 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	8.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

37.0ms	150×	1	valid
36.0ms	96×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-log: 43.0ms (70.9% of total)

adjust: 6.0ms (9.9% of total)

ival-div: 5.0ms (8.2% of total)

ival-sub: 4.0ms (6.6% of total)

ival-add: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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
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) (+ 1 eps))
0.0ms	eps	@	inf	(- 1 eps)

rewrite208.0ms (3.2%)

Memory

8.3MiB live, 246.4MiB 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))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (/.f64 (+.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)))))
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simplify291.0ms (4.5%)

Memory

-4.3MiB live, 371.8MiB 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))

eval50.0ms (0.8%)

Memory: -6.8MiB live, 71.2MiB allocated
Compiler: Compiled 8 266 to 979 computations (88.2% saved)

prune65.0ms (1%)

Memory

17.4MiB live, 94.5MiB 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)))
▶	99.3%	(*.f64 #s(literal -2 binary64) eps)
✓	8.8%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	5.5%	#s(literal 0 binary64)

Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify38.0ms (0.6%)

Memory

-26.0MiB live, 53.6MiB 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)

localize97.0ms (1.5%)

Memory

12.5MiB live, 181.2MiB 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 #s(literal -2/5 binary64))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 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	99.4%	(*.f64 eps #s(literal -2/3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	100.0%	(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 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 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
✓	accuracy	99.4%	(.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)))

Samples

67.0ms

256×

valid

Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 34.0ms (66.2% of total)

const: 11.0ms (21.4% of total)

ival-add: 7.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-10.9MiB live, 28.1MiB allocated

Counts

15 → 180

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

45 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
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))

rewrite394.0ms (6.1%)

Memory

38.0MiB live, 546.6MiB 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	153
1	160	153
2	1165	153
0	8319	133

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 511

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 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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))))) (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))))))
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(/.f64 (neg.f64 (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 (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 #s(literal 4/25 binary64) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) (.f64 (.f64 eps eps) #s(literal -4/35 binary64))))))
(/.f64 (neg.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/25 binary64) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) (.f64 (.f64 eps eps) #s(literal -4/35 binary64)))) (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 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal 2/7 binary64))) (+.f64 #s(literal 4/25 binary64) (.f64 #s(literal -4/49 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(/.f64 (+.f64 #s(literal 4/25 binary64) (.f64 #s(literal -4/49 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal 2/7 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (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)) #s(literal 4/25 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 #s(literal 64/117649 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) #s(literal -512/1953125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 64/117649 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) (-.f64 #s(literal 64/15625 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 64/42875 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 #s(literal 64/117649 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) #s(literal -64/15625 binary64)) #s(literal 1 binary64)) (.f64 (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 (fma.f64 #s(literal 64/117649 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) #s(literal -64/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 16/2401 binary64) (+.f64 #s(literal 16/625 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 16/1225 binary64)))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 16/2401 binary64) #s(literal -16/625 binary64)) #s(literal 1 binary64)) (.f64 (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 (neg.f64 (neg.f64 (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 (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 (neg.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4/25 binary64) (.f64 #s(literal -4/49 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))) (neg.f64 (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal 2/7 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (fma.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))) (.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))) (+.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -1 binary64))
(.f64 (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 (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 #s(literal 4/25 binary64) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)) (.f64 (*.f64 eps eps) #s(literal -4/35 binary64))))))
(.f64 (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 (neg.f64 (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) (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 (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 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(.f64 (+.f64 #s(literal 4/25 binary64) (.f64 #s(literal -4/49 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

simplify385.0ms (5.9%)

Memory

-34.3MiB live, 484.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 460×	`accelerator-lowering-fma.f32`
12 460×	`accelerator-lowering-fma.f64`
4 656×	`-lowering-.f32`
4 656×	`-lowering-.f64`
2 180×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1512
1	367	1512
2	1421	1482
3	4031	1476
0	8516	1388

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

eval135.0ms (2.1%)

Memory: 14.3MiB live, 172.5MiB allocated
Compiler: Compiled 25 598 to 2 302 computations (91% saved)

prune65.0ms (1%)

Memory

-13.3MiB live, 115.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	690	1	691
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	690	7	697

Accuracy

100.0%

Counts

697 → 7

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%	(.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)))
✓	99.3%	(*.f64 #s(literal -2 binary64) eps)
✓	8.8%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.5%	#s(literal 0 binary64)

Compiler

Compiled 68 to 45 computations (33.8% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	16	23
2	31	23
3	35	23
0	35	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.6%)

Memory

6.1MiB live, 44.5MiB allocated

Localize:

Found 4 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))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (59.9% of total)

const: 4.0ms (29.9% of total)

ival-add: 1.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<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)>

Calls

12 calls:

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

rewrite457.0ms (7%)

Memory

-10.2MiB live, 620.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 186×	`accelerator-lowering-fma.f32`
14 186×	`accelerator-lowering-fma.f64`
4 566×	`-lowering-.f32`
4 566×	`-lowering-.f64`
3 868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	31	20
2	219	20
3	2272	20
0	8415	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 189

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))
(+.f64 (.f64 eps (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (.f64 eps (/.f64 #s(literal 4 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.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 (.f64 eps (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (.f64 eps (/.f64 #s(literal 4 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))) (/.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))))) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (/.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 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
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(.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64))) #s(literal 4 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/27 binary64))) #s(literal -8 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 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))))
(.f64 (pow.f64 (/.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 eps (.f64 (.f64 eps 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 eps) #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) #s(literal -512 binary64) (pow.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64)) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/27 binary64)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 64/729 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 eps (.f64 (.f64 eps 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 eps) #s(literal 4 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/27 binary64)) #s(literal -8 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/27 binary64))) #s(literal -8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -8/27 binary64))) #s(literal -8 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/27 binary64)) #s(literal -8 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/27 binary64))) #s(literal -8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) #s(literal 16/81 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 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 (.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 #s(literal 1 binary64) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)) #s(literal 4 binary64)))))
(.f64 eps (.f64 eps #s(literal -2/3 binary64)))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -2/3 binary64)) eps)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 eps))
(*.f64 eps eps)
(exp.f64 (log.f64 (*.f64 eps #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 eps #s(literal -2 binary64))
(*.f64 eps (exp.f64 (log.f64 #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) eps)

simplify267.0ms (4.1%)

Memory

19.8MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 878×	`-lowering-.f32`
3 878×	`-lowering-.f64`
2 336×	`accelerator-lowering-fma.f32`
2 336×	`accelerator-lowering-fma.f64`
2 180×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	226
1	46	226
2	144	226
3	459	226
4	1172	226
5	2543	226
6	3974	226
7	5578	226
8	6709	226
9	7693	226
0	8155	217

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 (- (* -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)

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

eval35.0ms (0.5%)

Memory: -4.0MiB live, 33.8MiB allocated
Compiler: Compiled 10 542 to 586 computations (94.4% saved)

prune47.0ms (0.7%)

Memory

-2.9MiB live, 39.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	237	7	244

Accuracy

100.0%

Counts

244 → 7

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%	(.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)))
✓	99.3%	(*.f64 #s(literal -2 binary64) eps)
✓	8.8%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.5%	#s(literal 0 binary64)

Compiler

Compiled 130 to 75 computations (42.3% saved)

regimes7.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 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)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

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:

3.0ms	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

7.9MiB live, 7.9MiB 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

6.7MiB live, 6.7MiB 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)

regimes9.0ms (0.1%)

Memory

-32.4MiB live, 6.3MiB 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:

5.0ms	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
99.8%	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)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB 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:

2.0ms	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
99.3%	1	`eps`
99.3%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.3%	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

5.7MiB live, 5.7MiB 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
5.5%	1	`eps`
5.5%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.5%	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

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	53
1	34	53

Stop Event

1×

saturated

Calls

Call 1

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

soundness767.0ms (11.8%)

Memory

28.9MiB live, 339.3MiB 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	89	295
1	220	282
2	488	274
3	1301	270
4	2859	270
5	6046	270
0	8576	258
0	6	21
1	40	21
2	324	21
3	4552	8
0	10086	8
0	27	153
1	160	153
2	1165	153
0	8319	133

Stop Event

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

Compiler

Compiled 102 to 56 computations (45.1% saved)

preprocess82.0ms (1.3%)

Memory: 0.5MiB live, 157.8MiB allocated
Compiler: Compiled 140 to 70 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
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

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	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
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

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 (41.3%)

preprocess33.0ms (0.5%)

explain196.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize87.0ms (1.3%)

series3.0ms (0%)

rewrite208.0ms (3.2%)

simplify291.0ms (4.5%)

eval50.0ms (0.8%)

prune65.0ms (1%)

simplify38.0ms (0.6%)

localize97.0ms (1.5%)

series13.0ms (0.2%)

rewrite394.0ms (6.1%)

simplify385.0ms (5.9%)

eval135.0ms (2.1%)

prune65.0ms (1%)

simplify4.0ms (0.1%)

localize36.0ms (0.6%)

series3.0ms (0%)

rewrite457.0ms (7%)

simplify267.0ms (4.1%)

eval35.0ms (0.5%)

prune47.0ms (0.7%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness767.0ms (11.8%)

preprocess82.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
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

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