Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

analyze1.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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 7 to 6 computations (14.3% saved)

sample451.0ms (9%)

Memory

12.1MiB live, 767.0MiB allocated

Samples

284.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-div: 59.0ms (47.1% of total)

ival-sub: 52.0ms (41.5% of total)

ival-true: 6.0ms (4.8% of total)

exact: 5.0ms (4% of total)

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

Bogosity

preprocess26.0ms (0.5%)

Memory

-5.5MiB live, 33.1MiB allocated

Algorithm

2×	egg-herbie

Rules

78×	`associate-l`
52×	`times-frac`
46×	`distribute-lft-neg-in`
46×	`unsub-neg`
42×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	23	16
2	52	15
3	114	15
4	235	15
5	387	15
6	488	15
7	510	15
8	525	15
9	529	15
0	4	5
1	8	5
2	12	5
3	17	5
4	24	5
5	34	5
6	49	5
7	72	5
8	94	5
9	102	5
10	104	5
0	104	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (- 1 x))

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

Call 2

Inputs
(/ x (- 1 x))
(/ (neg x) (- 1 (neg x)))
(neg (/ (neg x) (- 1 (neg x))))

Outputs
(/ x (- 1 x))
(/ (neg x) (- 1 (neg x)))
(/ x (- -1 x))
(neg (/ (neg x) (- 1 (neg x))))
(/ x (+ x 1))

explain75.0ms (1.5%)

Memory

5.5MiB live, 67.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 x (-.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

18.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (50.8% of total)

ival-sub: 3.0ms (38.1% 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, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-30.3MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
26×	`--lowering--.f32`
26×	`sub-neg`
26×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	8	10
2	12	10
3	17	10
4	24	10
5	34	10
6	49	10
7	72	10
8	94	10
9	102	10
10	104	10
0	104	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (- 1 x))
x
(- 1 x)
1

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

localize14.0ms (0.3%)

Memory

26.3MiB live, 26.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (50% of total)

ival-sub: 1.0ms (25% 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

2.1MiB live, 2.1MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ x (- 1 x))>
#<alt (- 1 x)>

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

6 calls:

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

rewrite318.0ms (6.3%)

Memory

13.0MiB live, 518.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 858×	`/-lowering-/.f32`
3 858×	`/-lowering-/.f64`
3 778×	`accelerator-lowering-fma.f32`
3 778×	`accelerator-lowering-fma.f64`
2 920×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	27	8
2	181	8
3	1614	8
0	9312	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 425

Calls

Call 1

Inputs
(/ x (- 1 x))
(- 1 x)

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

simplify260.0ms (5.2%)

Memory

-15.3MiB live, 226.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 624×	`accelerator-lowering-fma.f32`
4 624×	`accelerator-lowering-fma.f64`
1 550×	`unsub-neg`
1 096×	`-lowering-.f32`
1 096×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

eval54.0ms (1.1%)

Memory: 2.7MiB live, 112.7MiB allocated
Compiler: Compiled 12 218 to 1 267 computations (89.6% saved)

prune54.0ms (1.1%)

Memory

21.9MiB live, 143.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	444	5	449
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	444	6	450

Accuracy

100.0%

Counts

450 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.9%	(fma.f64 x (fma.f64 x x x) x)
▶	42.9%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
▶	43.7%	x
▶	57.4%	#s(literal -1 binary64)

Compiler

Compiled 56 to 32 computations (42.9% saved)

simplify9.0ms (0.2%)

Memory

-23.2MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

118×	`accelerator-lowering-fma.f32`
118×	`accelerator-lowering-fma.f64`
66×	`-lowering-.f32`
66×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	22	41
2	38	41
3	57	41
4	71	41
5	96	41
6	96	41
0	96	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

21.6MiB live, 61.1MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

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

ival-div: 4.0ms (35% of total)

ival-add: 4.0ms (35% of total)

ival-mult: 3.0ms (26.3% 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

3.3MiB live, 3.3MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ 1 (+ (/ 1 x) -1))>
#<alt (+ (/ 1 x) -1)>
#<alt (/ 1 x)>
#<alt (+ (* x x) x)>
#<alt (+ (* x (+ (* x x) x)) x)>

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

Calls

15 calls:

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

rewrite533.0ms (10.6%)

Memory

-13.5MiB live, 738.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 756×	`accelerator-lowering-fma.f32`
6 756×	`accelerator-lowering-fma.f64`
3 788×	`-lowering-.f32`
3 788×	`-lowering-.f64`
3 152×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	70	29
2	530	29
3	6498	29
0	8108	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 432

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
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(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (pow.f64 (.f64 x (fma.f64 x x x)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))))) (.f64 (.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x)))))) (.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x)))))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (fma.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (fma.f64 x (.f64 (.f64 x (.f64 (fma.f64 x x x) (fma.f64 x x x))) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))) (.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64))
(.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(.f64 (fma.f64 x (fma.f64 x x x) x) (/.f64 (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(.f64 (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (.f64 (fma.f64 x (fma.f64 x x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(.f64 (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 (fma.f64 x x x) (-.f64 #s(literal 0 binary64) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (-.f64 #s(literal 0 binary64) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(.f64 (.f64 x (-.f64 x (.f64 x (.f64 (fma.f64 x x x) (fma.f64 x x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (.f64 (fma.f64 x (fma.f64 x x x) x) (*.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (fma.f64 x (fma.f64 x x x) x))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (.f64 (.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x)))))) (.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))))))) (fma.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (-.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))) (.f64 (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x)))) (.f64 (fma.f64 x x x) (.f64 x (*.f64 x (fma.f64 x x x)))))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (.f64 x (-.f64 (.f64 x (.f64 (fma.f64 x x x) (fma.f64 x x x))) (.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) (.f64 x (-.f64 (.f64 x (.f64 (fma.f64 x x x) (fma.f64 x x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (fma.f64 x (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (.f64 x (.f64 x (fma.f64 x x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (.f64 x x) (.f64 x (.f64 x (fma.f64 x x x)))))

simplify480.0ms (9.6%)

Memory

-11.6MiB live, 689.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 584×	`accelerator-lowering-fma.f32`
17 584×	`accelerator-lowering-fma.f64`
2 894×	`-lowering-.f32`
2 894×	`-lowering-.f64`
1 936×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	325
1	116	310
2	309	300
3	971	298
4	3372	298
5	7045	298
0	8586	271

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 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 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)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(pow x 3)
(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x (fma.f64 x x x) #s(literal 0 binary64))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(pow x 3)
(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x (fma.f64 x x x) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)

eval145.0ms (2.9%)

Memory: -3.4MiB live, 150.3MiB allocated
Compiler: Compiled 15 480 to 1 205 computations (92.2% saved)

prune65.0ms (1.3%)

Memory

1.6MiB live, 161.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	599	1	600
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	599	7	606

Accuracy

100.0%

Counts

606 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.9%	(fma.f64 x (fma.f64 x x x) x)
✓	42.9%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
▶	42.9%	(*.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	43.7%	x
✓	57.4%	#s(literal -1 binary64)

Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
14×	`accelerator-lowering-fma.f32`
14×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	8	10
2	15	10
3	17	10
4	25	10
5	25	10
0	25	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ 1 x) x)
(+ 1 x)
1
x

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

localize15.0ms (0.3%)

Memory

-2.2MiB live, 36.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (55.4% of total)

ival-mult: 2.0ms (55.4% 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

4.5MiB live, 4.5MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* (+ 1 x) x)>
#<alt (+ 1 x)>

Outputs
#<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 (+ 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)))>

Calls

6 calls:

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

rewrite394.0ms (7.9%)

Memory

-9.3MiB live, 666.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 886×	`accelerator-lowering-fma.f32`
5 886×	`accelerator-lowering-fma.f64`
4 630×	`/-lowering-/.f32`
4 630×	`/-lowering-/.f64`
3 772×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	21	8
2	135	8
3	1028	8
0	8552	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 298

Calls

Call 1

Inputs
(* (+ 1 x) x)
(+ 1 x)

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

simplify521.0ms (10.4%)

Memory

-9.8MiB live, 279.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 356×	`-lowering-.f32`
6 356×	`-lowering-.f64`
3 446×	`cube-prod`
2 454×	`/-lowering-/.f32`
2 454×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	82
1	32	82
2	40	82
3	112	82
4	1700	82
5	2620	82
6	3165	82
7	3828	82
8	4634	82
9	4907	82
10	5079	82
11	5220	82
12	5348	82
13	5626	82
14	6569	82
15	6979	82
16	7150	82
17	7280	82
18	7400	82
19	7436	82
20	7453	82
21	7471	82
22	7489	82
23	7508	82
24	7609	82
0	8288	73

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
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
(+ 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)))

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

eval247.0ms (4.9%)

Memory: 2.2MiB live, 75.8MiB allocated
Compiler: Compiled 8 118 to 890 computations (89% saved)

prune269.0ms (5.4%)

Memory

9.5MiB live, 92.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	322	0	322
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	322	7	329

Accuracy

100.0%

Counts

329 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.9%	(fma.f64 x (fma.f64 x x x) x)
✓	42.9%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	42.9%	(*.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	43.7%	x
✓	57.4%	#s(literal -1 binary64)

Compiler

Compiled 68 to 34 computations (50% saved)

regimes6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

-24.3MiB live, 14.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.3%	3	`x`
98.3%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
x

Outputs
#s(literal -1 binary64)
x

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
57.4%	1	`x`
57.4%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998529	-0.08343589211766826

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998529	-0.08343589211766826

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998529	-0.08343589211766826

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify10.0ms (0.2%)

Memory

-15.4MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-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	12	45
1	17	45
2	20	45
3	22	45
4	23	45

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness956.0ms (19%)

Memory

13.0MiB live, 251.1MiB allocated

Rules

4 624×	`accelerator-lowering-fma.f32`
4 624×	`accelerator-lowering-fma.f64`
1 550×	`unsub-neg`
1 096×	`-lowering-.f32`
1 096×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 69 to 26 computations (62.3% saved)

preprocess51.0ms (1%)

Memory: 15.3MiB live, 93.4MiB allocated
Compiler: Compiled 104 to 32 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	20
1	23	16
2	52	15
3	114	15
4	235	15
5	387	15
6	488	15
7	510	15
8	525	15
9	529	15
0	4	5
1	8	5
2	12	5
3	17	5
4	24	5
5	34	5
6	49	5
7	72	5
8	94	5
9	102	5
10	104	5
0	104	5

Iter	Nodes	Cost
0	4	10
1	8	10
2	12	10
3	17	10
4	24	10
5	34	10
6	49	10
7	72	10
8	94	10
9	102	10
10	104	10
0	104	10

Iter	Nodes	Cost
0	8	20
1	23	16
2	52	15
3	114	15
4	235	15
5	387	15
6	488	15
7	510	15
8	525	15
9	529	15
0	4	5
1	8	5
2	12	5
3	17	5
4	24	5
5	34	5
6	49	5
7	72	5
8	94	5
9	102	5
10	104	5
0	104	5

Iter	Nodes	Cost
0	4	10
1	8	10
2	12	10
3	17	10
4	24	10
5	34	10
6	49	10
7	72	10
8	94	10
9	102	10
10	104	10
0	104	10

analyze1.0ms (0%)

sample451.0ms (9%)

preprocess26.0ms (0.5%)

explain75.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite318.0ms (6.3%)

simplify260.0ms (5.2%)

eval54.0ms (1.1%)

prune54.0ms (1.1%)

simplify9.0ms (0.2%)

localize32.0ms (0.6%)

series2.0ms (0%)

rewrite533.0ms (10.6%)

simplify480.0ms (9.6%)

eval145.0ms (2.9%)

prune65.0ms (1.3%)

simplify4.0ms (0.1%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite394.0ms (7.9%)

simplify521.0ms (10.4%)

eval247.0ms (4.9%)

prune269.0ms (5.4%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness956.0ms (19%)

preprocess51.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	20
1	23	16
2	52	15
3	114	15
4	235	15
5	387	15
6	488	15
7	510	15
8	525	15
9	529	15
0	4	5
1	8	5
2	12	5
3	17	5
4	24	5
5	34	5
6	49	5
7	72	5
8	94	5
9	102	5
10	104	5
0	104	5

Iter	Nodes	Cost
0	4	10
1	8	10
2	12	10
3	17	10
4	24	10
5	34	10
6	49	10
7	72	10
8	94	10
9	102	10
10	104	10
0	104	10