Metrics for logq (problem 3.4.3)

analyze3.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

sample2.6s (28.6%)

Memory

78.2MiB live, 2 952.9MiB allocated

Samples

1.3s	3 135×	2	valid
963.0ms	4 828×	1	valid
18.0ms	293×	0	valid

Precisions

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

ival-log: 1.2s (60.4% of total)

ival-sub: 218.0ms (10.9% of total)

adjust: 190.0ms (9.5% of total)

ival-div: 154.0ms (7.7% of total)

ival-add: 106.0ms (5.3% of total)

ival-fabs: 79.0ms (3.9% of total)

ival-<: 37.0ms (1.8% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess50.0ms (0.5%)

Memory

-29.1MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
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
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain198.0ms (2.2%)

Memory

12.1MiB live, 259.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
254	-	1	(0.007605429462876854)	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) eps)`
0	-	0	-	`eps`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
0	-	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	253	2

Confusion

	Predicted +	Predicted -
+	253	1
-	0	2

Precision

1.0

Recall

0.9960629921259843

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	1	0
-	0	1	1

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms	196×	2	valid
57.0ms	306×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

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

ival-log: 71.0ms (65.5% of total)

adjust: 12.0ms (11.1% of total)

ival-div: 9.0ms (8.3% of total)

ival-add: 9.0ms (8.3% of total)

ival-sub: 7.0ms (6.5% of total)

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

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

exact: 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify20.0ms (0.2%)

Memory

-14.8MiB live, 23.2MiB 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×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
78×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize130.0ms (1.4%)

Memory

-9.7MiB live, 111.0MiB 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	7.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

45.0ms	153×	1	valid
39.0ms	98×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 36.0ms (49.3% of total)

ival-div: 24.0ms (32.8% of total)

adjust: 6.0ms (8.2% of total)

ival-sub: 4.0ms (5.5% of total)

ival-add: 3.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (+.f64 #s(literal 1 binary64) 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)

rewrite180.0ms (2%)

Memory

23.9MiB live, 252.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 220×	`lower-fma.f64`
2 220×	`lower-fma.f32`
2 058×	`lower-*.f64`
2 058×	`lower-*.f32`
1 842×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	44	21
2	328	21
3	4559	8
0	10096	8

Stop Event

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

Counts

4 → 304

Calls

Call 1

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

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

simplify524.0ms (5.7%)

Memory

-181.6MiB live, 351.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
1 504×	`lower-+.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 → 46

Calls

Call 1

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

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

eval46.0ms (0.5%)

Memory: 18.5MiB live, 90.0MiB allocated
Compiler: Compiled 8 254 to 976 computations (88.2% saved)

prune55.0ms (0.6%)

Memory

-15.5MiB live, 100.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	344	6	350
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	344	7	351

Accuracy

100.0%

Counts

351 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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)))
▶	99.6%	(.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)))
▶	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
▶	99.2%	(*.f64 #s(literal -2 binary64) eps)
	7.2%	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) eps)))
✓	7.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	5.4%	#s(literal 0 binary64)

Compiler

Compiled 145 to 94 computations (35.2% saved)

simplify61.0ms (0.7%)

Memory

31.8MiB live, 65.9MiB 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×	`lower-fma.f32`
1 300×	`lower-fma.f64`
402×	`lower-*.f32`
382×	`lower-*.f64`
350×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	151
0	44	151
1	102	151
2	193	151
3	411	151
4	785	151
5	1055	151
6	1076	151
7	1079	151
0	1079	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

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

localize117.0ms (1.3%)

Memory

-42.6MiB live, 173.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -2/5 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	100.0%	(.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	100.0%	(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
✓	accuracy	99.5%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))

Samples

62.0ms

256×

valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 32.0ms (67.3% of total)

const: 9.0ms (18.9% of total)

ival-add: 6.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

rewrite356.0ms (3.9%)

Memory

-21.8MiB live, 541.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 936×	`lower-fma.f32`
6 924×	`lower-fma.f64`
4 980×	`lower-*.f32`
4 960×	`lower-*.f64`
3 996×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	43	133
1	176	133
2	1181	133
0	8337	133

Stop Event

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

Counts

15 → 511

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

Outputs
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (.f64 #s(literal 2 binary64) eps))) (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 #s(literal 2 binary64) eps))))
(fma.f64 eps #s(literal -2 binary64) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
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(/.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 (.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))) (/.f64 #s(literal -4/25 binary64) (fma.f64 (.f64 eps 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 (.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps 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 (.f64 eps eps) (.f64 (.f64 eps 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 (.f64 eps eps) (.f64 (.f64 eps 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 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/49 binary64)))) (/.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)

simplify389.0ms (4.2%)

Memory

37.5MiB live, 389.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 460×	`lower-fma.f64`
12 460×	`lower-fma.f32`
4 656×	`lower-*.f64`
4 656×	`lower-*.f32`
2 180×	`lower-+.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))
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(.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))

eval103.0ms (1.1%)

Memory: 8.4MiB live, 158.1MiB allocated
Compiler: Compiled 25 598 to 2 305 computations (91% saved)

prune70.0ms (0.8%)

Memory

-12.7MiB live, 156.3MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	688	3	691
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	688	10	698

Accuracy

100.0%

Counts

698 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
▶	99.6%	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (.f64 eps #s(literal -2 binary64)))
▶	99.4%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
✓	99.8%	(.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)))
✓	99.6%	(.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)))
✓	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.2%	(*.f64 #s(literal -2 binary64) eps)
▶	7.2%	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) eps)))
✓	7.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 125 to 78 computations (37.6% saved)

simplify318.0ms (3.5%)

Memory

2.0MiB live, 313.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (.f64 eps #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 eps #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	320	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
✓	cost-diff	0	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	128	(neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
✓	cost-diff	512	(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) eps))

Rules

11 200×	`lower-fma.f32`
11 184×	`lower-fma.f64`
2 928×	`lower-*.f32`
2 916×	`lower-*.f64`
2 526×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	214
0	53	206
1	121	200
2	315	200
3	760	200
4	1539	200
5	2879	200
6	4496	200
7	6444	200
8	7684	200
9	7897	200
0	8003	196

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (2.6%)

Memory

10.7MiB live, 328.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 eps #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	accuracy	100.0%	(*.f64 eps #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -2/5 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 eps #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	100.0%	(neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
✓	accuracy	100.0%	(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
✓	accuracy	100.0%	(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) eps))
✓	accuracy	7.2%	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) eps)))

Samples

95.0ms	154×	1	valid
86.0ms	98×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 239 to 35 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 39.0ms (26.1% of total)

ival-log: 33.0ms (22.1% of total)

ival-add: 24.0ms (16.1% of total)

adjust: 22.0ms (14.7% of total)

const: 19.0ms (12.7% of total)

ival-div: 8.0ms (5.4% of total)

ival-neg: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-22.0MiB live, 14.2MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(* eps -2)
2.0ms	eps	@	-inf	(+ (* (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -2/7) -2/5)) -2/3)) eps) (* eps -2))
0.0ms	eps	@	0	(/ (+ (* eps (* eps eps)) -1) (neg (+ 1 (+ (* eps eps) eps))))
0.0ms	eps	@	inf	(/ (+ (* eps (* eps eps)) -1) (neg (+ 1 (+ (* eps eps) eps))))
0.0ms	eps	@	-inf	(+ (* (* (* eps eps) (+ (* eps (* eps -2/5)) -2/3)) eps) (* eps -2))

rewrite351.0ms (3.8%)

Memory

29.3MiB live, 459.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 220×	`lower-fma.f32`
5 204×	`lower-fma.f64`
4 230×	`lower-*.f32`
4 218×	`lower-*.f64`
4 020×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	53	158
1	252	152
2	2079	152
0	8276	147

Stop Event

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

Counts

16 → 532

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 eps))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.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 eps #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 eps)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (fma.f64 eps eps #s(literal 1 binary64))))) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (fma.f64 eps eps #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(neg.f64 (.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps (fma.f64 eps eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) #s(literal 1 binary64))))
(/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 4/49 binary64) #s(literal -4/25 binary64))) (neg.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))
(/.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 4/49 binary64))) (-.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps (.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 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -8/343 binary64) #s(literal -8/125 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 eps (.f64 eps (.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 (.f64 eps (.f64 eps eps))) #s(literal 4/49 binary64) #s(literal -4/25 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 4/49 binary64)))) (neg.f64 (-.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (.f64 (.f64 eps eps) #s(literal 4/35 binary64))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -8/343 binary64) #s(literal -8/125 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) (fma.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 4/49 binary64) #s(literal -4/25 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.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 (.f64 eps (.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 (.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))))

simplify404.0ms (4.4%)

Memory

11.8MiB live, 489.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 088×	`lower-fma.f64`
18 088×	`lower-fma.f32`
4 974×	`lower-*.f64`
4 974×	`lower-*.f32`
3 204×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1462
1	466	1447
2	1502	1398
3	4440	1390
0	8903	1321

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval114.0ms (1.2%)

Memory: 12.4MiB live, 163.9MiB allocated
Compiler: Compiled 23 953 to 2 169 computations (90.9% saved)

prune124.0ms (1.3%)

Memory

-46.6MiB live, 126.9MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	850	2	852
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	851	11	862

Accuracy

100.0%

Counts

862 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
✓	99.6%	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (.f64 eps #s(literal -2 binary64)))
✓	99.4%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
✓	99.8%	(.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)))
✓	99.6%	(.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)))
✓	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.2%	(*.f64 #s(literal -2 binary64) eps)
▶	7.2%	(neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
▶	7.2%	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))
✓	7.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 144 to 89 computations (38.2% saved)

simplify314.0ms (3.4%)

Memory

32.6MiB live, 379.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
✓	cost-diff	0	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))
✓	cost-diff	512	(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64)))

Rules

14 612×	`lower-fma.f32`
14 608×	`lower-fma.f64`
2 724×	`lower-*.f32`
2 720×	`lower-*.f64`
2 208×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	162
0	28	154
1	54	154
2	101	154
3	303	154
4	1044	154
5	3469	154
6	5952	154
0	8279	148

Stop Event

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

Calls

Call 1

Inputs
(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
eps
(*.f64 eps eps)
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))
(fma.f64 eps eps eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
(log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))
#s(literal -1 binary64)
(fma.f64 eps eps eps)
eps
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
(*.f64 eps eps)

Outputs
(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))
(log.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
eps
(*.f64 eps eps)
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))
(fma.f64 eps eps eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 eps (fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))))
(log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
(log.f64 (/.f64 (fma.f64 eps (fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 eps (fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))
#s(literal -1 binary64)
(fma.f64 eps eps eps)
eps
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
(*.f64 eps eps)

localize185.0ms (2%)

Memory

8.4MiB live, 210.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
✓	accuracy	100.0%	(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))
✓	accuracy	7.2%	(log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
✓	accuracy	100.0%	(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64)))
✓	accuracy	7.2%	(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))

Samples

97.0ms	98×	2	valid
56.0ms	154×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 183 to 18 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-log: 70.0ms (55.1% of total)

ival-div: 15.0ms (11.8% of total)

ival-add: 12.0ms (9.4% of total)

adjust: 11.0ms (8.7% of total)

ival-mult: 10.0ms (7.9% of total)

ival-neg: 5.0ms (3.9% of total)

ival-sub: 3.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

-32.5MiB live, 5.9MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64)))>
#<alt (log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))>
#<alt (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))>
#<alt (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))>
#<alt (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))>
#<alt (neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))>
#<alt (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))>
#<alt (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))>
#<alt (*.f64 eps eps)>

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

Calls

27 calls:

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

rewrite307.0ms (3.3%)

Memory

50.9MiB live, 474.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`lower-fma.f32`
5 062×	`lower-fma.f64`
4 302×	`lower-/.f32`
4 296×	`lower-/.f64`
3 656×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	121
0	28	113
1	126	113
2	1045	59
0	8869	53

Stop Event

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

Counts

9 → 809

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64)))
(log.f64 (/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (+.f64 eps #s(literal 1 binary64))))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64)))
(neg.f64 (log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
(log.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))
(*.f64 eps eps)

Outputs
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 eps (.f64 eps eps))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 eps (.f64 eps eps))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) (neg.f64 (.f64 eps (.f64 eps eps)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) (neg.f64 (.f64 eps (.f64 eps eps)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 eps eps)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (*.f64 eps eps)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps eps #s(literal -1 binary64))) eps) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 eps (*.f64 eps eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 eps (.f64 eps eps)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) (neg.f64 (.f64 eps (*.f64 eps eps)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) (neg.f64 (.f64 eps (.f64 eps eps))) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 eps eps) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 eps eps)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps eps #s(literal -1 binary64))) eps (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (+.f64 eps #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) eps) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (+.f64 eps #s(literal 1 binary64))) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (+.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))
(.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))))
(.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (-.f64 #s(literal -1 binary64) eps))) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps eps))) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps eps eps) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 eps eps eps) (.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 eps eps eps) (+.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 eps (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))
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simplify419.0ms (4.6%)

Memory

-6.6MiB live, 357.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 810×	`lower-fma.f64`
13 810×	`lower-fma.f32`
3 798×	`lower-*.f64`
3 798×	`lower-*.f32`
2 618×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	828
1	499	799
2	1394	773
3	3917	762
0	8158	724

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval245.0ms (2.7%)

Memory: 3.1MiB live, 150.8MiB allocated
Compiler: Compiled 32 441 to 3 412 computations (89.5% saved)

prune165.0ms (1.8%)

Memory

-14.1MiB live, 148.1MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 007	2	1 009
Fresh	0	0	0
Picked	2	0	2
Done	0	9	9
Total	1 009	11	1 020

Accuracy

100.0%

Counts

1 020 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
✓	99.6%	(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (.f64 eps #s(literal -2 binary64)))
✓	99.4%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
✓	99.8%	(.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)))
✓	99.6%	(.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)))
✓	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.2%	(*.f64 #s(literal -2 binary64) eps)
	7.2%	(neg.f64 (log.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))))
	7.2%	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))))
✓	7.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 302 to 140 computations (53.6% saved)

regimes12.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

4.0ms	eps
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
3.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Memory

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

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	(/.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)

regimes7.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (.f64 eps #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
99.6%	1	`eps`
99.6%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes50.0ms (0.5%)

Memory

-30.9MiB live, 8.0MiB 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 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.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:

46.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.6%	1	`eps`
99.6%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.6%	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

6.4MiB live, 6.4MiB 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 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))

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

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.2%	1	`eps`
99.2%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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
5.4%	1	`eps`
5.4%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	41	88

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness891.0ms (9.7%)

Memory

-4.3MiB live, 391.4MiB allocated

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
6 936×	`lower-fma.f32`
6 924×	`lower-fma.f64`
4 980×	`lower-*.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
0	10	21
1	44	21
2	328	21
3	4559	8
0	10096	8
0	21	133
0	43	133
1	176	133
2	1181	133
0	8337	133

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 194 to 86 computations (55.7% saved)

preprocess57.0ms (0.6%)

Memory: -19.4MiB live, 137.2MiB allocated
Compiler: Compiled 210 to 80 computations (61.9% 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
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	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
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

analyze3.0ms (0%)

sample2.6s (28.6%)

preprocess50.0ms (0.5%)

explain198.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize130.0ms (1.4%)

series3.0ms (0%)

rewrite180.0ms (2%)

simplify524.0ms (5.7%)

eval46.0ms (0.5%)

prune55.0ms (0.6%)

simplify61.0ms (0.7%)

localize117.0ms (1.3%)

series11.0ms (0.1%)

rewrite356.0ms (3.9%)

simplify389.0ms (4.2%)

eval103.0ms (1.1%)

prune70.0ms (0.8%)

simplify318.0ms (3.5%)

localize235.0ms (2.6%)

series13.0ms (0.1%)

rewrite351.0ms (3.8%)

simplify404.0ms (4.4%)

eval114.0ms (1.2%)

prune124.0ms (1.3%)

simplify314.0ms (3.4%)

localize185.0ms (2%)

series6.0ms (0.1%)

rewrite307.0ms (3.3%)

simplify419.0ms (4.6%)

eval245.0ms (2.7%)

prune165.0ms (1.8%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes50.0ms (0.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness891.0ms (9.7%)

preprocess57.0ms (0.6%)

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
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23