Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample558.0ms (7%)

Memory

12.1MiB live, 1 203.1MiB allocated

Samples

358.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-div: 65.0ms (32.6% of total)

ival-sub: 61.0ms (30.6% of total)

ival-add: 59.0ms (29.6% of total)

ival-true: 6.0ms (3% of total)

exact: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess41.0ms (0.5%)

Memory

-28.6MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Stop Event

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

Calls

Call 1

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

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

explain55.0ms (0.7%)

Memory

-3.1MiB live, 115.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (37.7% of total)

ival-div: 3.0ms (28.3% of total)

ival-add: 3.0ms (28.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify18.0ms (0.2%)

Memory

-4.6MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
106×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

-6.1MiB live, 33.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.3% of total)

ival-add: 2.0ms (40.3% of total)

ival-sub: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>

Calls

9 calls:

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

rewrite221.0ms (2.8%)

Memory

5.1MiB live, 357.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 974×	`lower-/.f64`
2 974×	`lower-/.f32`
2 752×	`lower-fma.f64`
2 752×	`lower-fma.f32`
2 188×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	41	13
2	294	13
3	4101	7
0	10014	7

Stop Event

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

Counts

3 → 489

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 x x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 x x) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))

simplify348.0ms (4.3%)

Memory

14.7MiB live, 543.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 702×	`lower-fma.f64`
10 702×	`lower-fma.f32`
2 414×	`lower-*.f64`
2 414×	`lower-*.f32`
1 974×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	165
1	114	150
2	255	150
3	590	146
4	1225	146
5	2794	146
6	4949	146
7	6697	146
8	7350	146
9	7545	146
10	7569	146
11	7580	146
12	7964	146
0	8165	140

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

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

eval61.0ms (0.8%)

Memory: -3.1MiB live, 161.0MiB allocated
Compiler: Compiled 14 484 to 1 046 computations (92.8% saved)

prune153.0ms (1.9%)

Memory

10.5MiB live, 168.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	515	8	523
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	515	9	524

Accuracy

100.0%

Counts

524 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
	48.2%	(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
▶	49.3%	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	77.2%	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
	49.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
▶	52.7%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
	48.0%	#s(literal 1 binary64)
▶	51.4%	#s(literal -1 binary64)

Compiler

Compiled 118 to 79 computations (33.1% saved)

simplify372.0ms (4.6%)

Memory

-2.1MiB live, 791.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	1408	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

Rules

17 562×	`lower-fma.f32`
17 552×	`lower-fma.f64`
2 916×	`lower-*.f32`
2 914×	`lower-*.f64`
1 972×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	85
0	33	85
1	66	81
2	140	75
3	345	71
4	958	71
5	3853	71
0	8252	71

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
x
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
#s(literal 1 binary64)

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

localize68.0ms (0.8%)

Memory

-9.0MiB live, 142.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	78.1%	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 97 to 23 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.4% of total)

ival-add: 8.0ms (30.9% of total)

ival-div: 5.0ms (19.3% of total)

ival-sub: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

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

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

series6.0ms (0.1%)

Memory

12.8MiB live, 12.9MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))>
#<alt (fma.f64 x x x)>
#<alt (+.f64 x #s(literal -1 binary64))>

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (+ (* x x) -1) (/ 1 (+ x -1)))
1.0ms	x	@	0	(/ -2 x)
0.0ms	x	@	inf	(* (+ (* x x) -1) (/ 1 (+ x -1)))
0.0ms	x	@	0	(* (+ (* x x) -1) (/ 1 (+ x -1)))
0.0ms	x	@	inf	(+ (* x (+ (* 2 (+ (* x x) x)) 2)) 1)

rewrite342.0ms (4.3%)

Memory

37.3MiB live, 650.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 416×	`lower-fma.f32`
6 406×	`lower-fma.f64`
4 406×	`lower-/.f32`
4 400×	`lower-/.f64`
3 620×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	33	65
1	172	55
2	1394	55
0	8710	55

Stop Event

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

Counts

11 → 691

Calls

Call 1

Inputs
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))
(fma.f64 x x x)
(+.f64 x #s(literal -1 binary64))

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

simplify355.0ms (4.4%)

Memory

-40.0MiB live, 505.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 224×	`lower-fma.f64`
14 224×	`lower-fma.f32`
3 350×	`lower-*.f64`
3 350×	`lower-*.f32`
2 258×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	714
1	287	695
2	779	684
3	3088	674
4	6442	666
0	8363	598

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 127

Calls

Call 1

Inputs
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
1
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2)))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

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

eval126.0ms (1.6%)

Memory: -6.5MiB live, 222.8MiB allocated
Compiler: Compiled 18 371 to 2 369 computations (87.1% saved)

prune90.0ms (1.1%)

Memory

7.5MiB live, 223.4MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	815	3	818
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	817	10	827

Accuracy

100.0%

Counts

827 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.2%	(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	49.1%	(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	49.3%	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	49.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	52.7%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
▶	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	3.5%	(*.f64 x #s(literal 2 binary64))
▶	48.0%	#s(literal 1 binary64)
✓	51.4%	#s(literal -1 binary64)

Compiler

Compiled 92 to 64 computations (30.4% saved)

simplify55.0ms (0.7%)

Memory

-19.3MiB live, 57.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))

Rules

896×	`lower-fma.f32`
892×	`lower-fma.f64`
408×	`lower-*.f32`
404×	`lower-*.f64`
260×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	53
0	23	53
1	48	52
2	85	51
3	135	51
4	190	51
5	242	51
6	334	51
7	515	51
8	730	51
9	832	51
10	1116	51
11	1182	51
12	1266	51
13	1307	51
14	1315	51
0	1315	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
x

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

localize152.0ms (1.9%)

Memory

24.5MiB live, 62.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

134.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 5.0ms (34% of total)

ival-div: 4.0ms (27.2% of total)

ival-mult: 4.0ms (27.2% of total)

ival-sub: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>

Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(+ (* x (+ (* x 2) 2)) 1)
0.0ms	x	@	0	(+ (* x (+ (* x 2) 2)) 1)
0.0ms	x	@	inf	(+ (* x (+ (* x 2) 2)) 1)
0.0ms	x	@	0	(* (/ -1 (+ x -1)) (+ x 1))

rewrite310.0ms (3.9%)

Memory

19.5MiB live, 567.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 914×	`lower-fma.f32`
8 910×	`lower-fma.f64`
4 386×	`lower-*.f32`
4 382×	`lower-*.f64`
3 444×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
0	23	42
1	116	40
2	857	40
0	8287	40

Stop Event

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

Counts

9 → 976

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

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

simplify361.0ms (4.5%)

Memory

-30.3MiB live, 608.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 386×	`lower-fma.f64`
13 386×	`lower-fma.f32`
3 136×	`lower-*.f64`
3 136×	`lower-*.f32`
1 722×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	579
1	212	540
2	524	536
3	1278	532
4	4107	532
5	7877	532
0	8015	498

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

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

eval249.0ms (3.1%)

Memory: 14.5MiB live, 283.2MiB allocated
Compiler: Compiled 22 549 to 2 316 computations (89.7% saved)

prune126.0ms (1.6%)

Memory

-22.8MiB live, 287.0MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 077	3	1 080
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	1 079	11	1 090

Accuracy

100.0%

Counts

1 090 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.2%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	48.2%	(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	49.3%	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	49.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
▶	48.9%	(+.f64 #s(literal 1 binary64) x)
✓	52.7%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	48.0%	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
✓	48.0%	#s(literal 1 binary64)
✓	51.4%	#s(literal -1 binary64)

Compiler

Compiled 69 to 48 computations (30.4% saved)

simplify15.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))

Rules

440×	`lower-fma.f32`
436×	`lower-fma.f64`
168×	`lower-+.f32`
164×	`lower-+.f64`
116×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	17	39
1	34	39
2	62	39
3	95	39
4	173	39
5	218	39
6	238	39
7	296	39
8	301	39
0	301	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x x))
#s(literal 1 binary64)

localize79.0ms (1%)

Memory

-25.8MiB live, 54.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))

Samples

66.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 29.0ms (50.4% of total)

ival-add: 28.0ms (48.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))>

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

Calls

18 calls:

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

rewrite550.0ms (6.9%)

Memory

-2.1MiB live, 555.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 866×	`lower-fma.f32`
10 862×	`lower-fma.f64`
4 838×	`lower-*.f32`
4 834×	`lower-*.f64`
4 144×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	17	29
1	77	27
2	709	27
0	8412	25

Stop Event

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

Counts

6 → 778

Calls

Call 1

Inputs
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x x)))
(+.f64 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(+.f64 (*.f64 x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) x)
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x)
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 x x))
(+.f64 (+.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x x)))
(-.f64 (/.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (+.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (fma.f64 x x x) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(fma.f64 x x (+.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x (+.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x x x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x x x))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x x))
(fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) x) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))
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(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))

simplify821.0ms (10.2%)

Memory

11.0MiB live, 565.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 392×	`lower-fma.f64`
18 392×	`lower-fma.f32`
4 994×	`lower-*.f64`
4 994×	`lower-*.f32`
2 792×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	308
1	93	308
2	182	296
3	463	296
4	911	296
5	2473	296
6	3400	296
7	4334	296
8	4974	296
9	5658	296
10	6473	296
11	6827	296
12	7091	296
0	8140	265

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))

eval221.0ms (2.8%)

Memory: 8.1MiB live, 195.0MiB allocated
Compiler: Compiled 23 975 to 1 868 computations (92.2% saved)

prune149.0ms (1.9%)

Memory

33.8MiB live, 346.7MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	959	1	960
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	959	12	971

Accuracy

100.0%

Counts

971 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
✓	48.2%	(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
	48.0%	(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
✓	49.3%	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	49.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	48.9%	(+.f64 #s(literal 1 binary64) x)
✓	52.7%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	48.0%	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
✓	48.0%	#s(literal 1 binary64)
✓	51.4%	#s(literal -1 binary64)

Compiler

Compiled 175 to 86 computations (50.9% saved)

regimes11.0ms (0.1%)

Memory

-12.8MiB live, 25.8MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

5.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
5.0ms	x

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes12.0ms (0.2%)

Memory

-39.7MiB live, 19.6MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

9.0ms	x
3.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.7%	3	`x`
98.7%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))

Outputs
#s(literal -1 binary64)
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))

Outputs
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 2 binary64))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.82250875731636	0.9672000423878301

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.82250875731636	0.9672000423878301

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.82250875731636	0.9672000423878301

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.82250875731636	0.9672000423878301

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.82250875731636	0.9672000423878301

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch14.0ms (0.2%)

Memory

-12.5MiB live, 26.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.82250875731636	0.9672000423878301

Samples

5.0ms

240×

valid

Compiler

Compiled 101 to 99 computations (2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
1	34	106
2	37	106
3	39	106
4	40	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness2.0s (24.5%)

Memory

-16.8MiB live, 783.9MiB allocated

Rules

18 392×	`lower-fma.f64`
18 392×	`lower-fma.f32`
13 386×	`lower-fma.f64`
13 386×	`lower-fma.f32`
10 702×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	579
1	212	540
2	524	536
3	1278	532
4	4107	532
5	7877	532
0	8015	498
0	40	165
1	114	150
2	255	150
3	590	146
4	1225	146
5	2794	146
6	4949	146
7	6697	146
8	7350	146
9	7545	146
10	7569	146
11	7580	146
12	7964	146
0	8165	140
0	30	308
1	93	308
2	182	296
3	463	296
4	911	296
5	2473	296
6	3400	296
7	4334	296
8	4974	296
9	5658	296
10	6473	296
11	6827	296
12	7091	296
0	8140	265
0	5	13
0	8	13
1	41	13
2	294	13
3	4101	7
0	10014	7
0	17	69
0	33	65
1	172	55
2	1394	55
0	8710	55

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

Compiler

Compiled 197 to 87 computations (55.8% saved)

preprocess59.0ms (0.7%)

Memory: -1.2MiB live, 156.2MiB allocated
Compiler: Compiled 230 to 60 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

Iter	Nodes	Cost
0	9	39
0	17	39
1	34	39
2	62	39
3	95	39
4	173	39
5	218	39
6	238	39
7	296	39
8	301	39
0	301	36

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

Iter	Nodes	Cost
0	9	39
0	17	39
1	34	39
2	62	39
3	95	39
4	173	39
5	218	39
6	238	39
7	296	39
8	301	39
0	301	36

analyze1.0ms (0%)

sample558.0ms (7%)

preprocess41.0ms (0.5%)

explain55.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize18.0ms (0.2%)

series1.0ms (0%)

rewrite221.0ms (2.8%)

simplify348.0ms (4.3%)

eval61.0ms (0.8%)

prune153.0ms (1.9%)

simplify372.0ms (4.6%)

localize68.0ms (0.8%)

series6.0ms (0.1%)

rewrite342.0ms (4.3%)

simplify355.0ms (4.4%)

eval126.0ms (1.6%)

prune90.0ms (1.1%)

simplify55.0ms (0.7%)

localize152.0ms (1.9%)

series3.0ms (0%)

rewrite310.0ms (3.9%)

simplify361.0ms (4.5%)

eval249.0ms (3.1%)

prune126.0ms (1.6%)

simplify15.0ms (0.2%)

localize79.0ms (1%)

series2.0ms (0%)

rewrite550.0ms (6.9%)

simplify821.0ms (10.2%)

eval221.0ms (2.8%)

prune149.0ms (1.9%)

regimes11.0ms (0.1%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify7.0ms (0.1%)

soundness2.0s (24.5%)

preprocess59.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	21	14
2	46	14
3	100	14
4	228	14
5	477	14
6	656	14
7	689	14
0	5	7
0	8	7
1	13	7
2	17	7
3	22	7
4	29	7
5	39	7
6	55	7
7	76	7
8	106	7
9	156	7
10	196	7
11	292	7
12	469	7
13	647	7
0	647	7

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	17	15
3	22	15
4	29	15
5	39	15
6	55	15
7	76	15
8	106	15
9	156	15
10	196	15
11	292	15
12	469	15
13	647	15
0	647	15

Iter	Nodes	Cost
0	9	39
0	17	39
1	34	39
2	62	39
3	95	39
4	173	39
5	218	39
6	238	39
7	296	39
8	301	39
0	301	36