Metrics for Hyperbolic arc-(co)tangent

analyze3.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample3.2s (52.5%)

Memory

7.0MiB live, 4 433.6MiB allocated

Samples

1.4s	2 931×	2	valid
1.4s	4 966×	1	valid
25.0ms	353×	0	valid
4.0ms	6×	4	valid
0.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-log: 1.3s (51.3% of total)

ival-div: 443.0ms (17.6% of total)

adjust: 297.0ms (11.8% of total)

ival-mult: 212.0ms (8.4% of total)

ival-sub: 139.0ms (5.5% of total)

ival-add: 106.0ms (4.2% of total)

exact: 15.0ms (0.6% of total)

ival-true: 6.0ms (0.2% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

preprocess35.0ms (0.6%)

Memory

-3.6MiB live, 75.4MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
112×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain388.0ms (6.3%)

Memory

-17.9MiB live, 431.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

176.0ms	314×	1	valid
104.0ms	180×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-log: 141.0ms (63.3% of total)

ival-add: 38.0ms (17.1% of total)

ival-div: 18.0ms (8.1% of total)

adjust: 11.0ms (4.9% of total)

ival-sub: 7.0ms (3.1% of total)

ival-mult: 7.0ms (3.1% of total)

exact: 1.0ms (0.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify19.0ms (0.3%)

Memory

7.9MiB live, 46.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	16	35
2	20	35
3	25	35
4	32	35
5	42	35
6	58	35
7	79	35
8	109	35
9	159	35
10	201	35
11	297	35
12	474	35
13	654	35
0	654	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize91.0ms (1.5%)

Memory

10.2MiB live, 203.1MiB allocated

Localize:

Found 4 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) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	8.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

39.0ms	90×	2	valid
35.0ms	157×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-log: 35.0ms (56.6% of total)

ival-div: 11.0ms (17.8% of total)

adjust: 5.0ms (8.1% of total)

ival-sub: 4.0ms (6.5% of total)

ival-mult: 4.0ms (6.5% of total)

ival-add: 3.0ms (4.8% of total)

exact: 1.0ms (1.6% of total)

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

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

series4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

5 → 48

Calls

Call 1

Inputs
#<alt (/ 1 2)>
#<alt (* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))>
#<alt (log (/ (+ 1 x) (- 1 x)))>
#<alt (/ (+ 1 x) (- 1 x))>
#<alt (+ 1 x)>

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

12 calls:

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

rewrite232.0ms (3.8%)

Memory

-28.6MiB live, 432.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 620×	`accelerator-lowering-fma.f32`
2 620×	`accelerator-lowering-fma.f64`
2 338×	`-lowering-.f32`
2 338×	`-lowering-.f64`
1 694×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	43	29
2	302	29
3	4068	29
0	9486	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 799

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(+.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 x))))
(+.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 x))))
(fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 x) (.f64 #s(literal 2 binary64) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) (.f64 #s(literal 2 binary64) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log1p.f64 (.f64 x (neg.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (.f64 x (.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (neg.f64 (log1p.f64 (.f64 x (.f64 x x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (neg.f64 (log1p.f64 (.f64 x (neg.f64 x)))) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (neg.f64 x) #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 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.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 (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 x) #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 (fma.f64 x x x) (fma.f64 x x x)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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) (+.f64 x (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)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (neg.f64 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) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.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 #s(literal 1 binary64) x) (-.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 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 (fma.f64 x x #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 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 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) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x (neg.f64 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 x (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) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x x #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 (+.f64 x (fma.f64 x 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 x (*.f64 x x) #s(literal 1 binary64))))

simplify332.0ms (5.4%)

Memory

4.7MiB live, 404.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 698×	`accelerator-lowering-fma.f32`
11 698×	`accelerator-lowering-fma.f64`
3 498×	`-lowering-.f32`
3 498×	`-lowering-.f64`
2 550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	811	374
3	2110	370
4	3888	370
5	6111	370
0	8213	346

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

eval169.0ms (2.8%)

Memory: 5.5MiB live, 232.7MiB allocated
Compiler: Compiled 23 089 to 3 093 computations (86.6% saved)

prune112.0ms (1.8%)

Memory

21.3MiB live, 221.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	843	4	847
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	844	4	848

Accuracy

100.0%

Counts

848 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
▶	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	99.8%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
▶	99.4%	x

Compiler

Compiled 44 to 25 computations (43.2% saved)

simplify47.0ms (0.8%)

Memory

-37.2MiB live, 55.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
✓	cost-diff	(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(*.f64 x #s(literal 1/5 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)

Rules

1 752×	`accelerator-lowering-fma.f32`
1 752×	`accelerator-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`
364×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	109
1	53	109
2	116	109
3	281	109
4	579	109
5	906	109
6	955	109
7	1119	109
8	1119	109
9	1119	109
0	1119	98

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(+ (* 1/3 (* x (* x x))) x)
1/3
(* x (* x x))
x
(* x x)
(+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)
(+ (* x (* x 1/5)) 1/3)
x
(* x 1/5)
1/5
1/3
(* x (* x x))
(* x x)
(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
(+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)
x
(* x (+ (* x (* x 1/7)) 1/5))
(+ (* x (* x 1/7)) 1/5)
(* x 1/7)
1/7
1/5
1/3
(* x (* x x))
(* x x)

Outputs
x
(+ (* 1/3 (* x (* x x))) x)
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
1/3
#s(literal 1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x)
(+ (* x (* x 1/5)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
x
(* x 1/5)
(*.f64 x #s(literal 1/5 binary64))
1/5
#s(literal 1/5 binary64)
1/3
#s(literal 1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) x)
(+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
x
(* x (+ (* x (* x 1/7)) 1/5))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(+ (* x (* x 1/7)) 1/5)
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
1/5
#s(literal 1/5 binary64)
1/3
#s(literal 1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)

localize93.0ms (1.5%)

Memory

2.9MiB live, 119.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

43.0ms

256×

valid

Compiler

Compiled 112 to 23 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (47.6% of total)

const: 10.0ms (31.7% of total)

ival-add: 6.0ms (19% of total)

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

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

series8.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (+ (* 1/3 (* x (* x x))) x)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)>
#<alt (+ (* x (* x 1/5)) 1/3)>
#<alt (* x 1/5)>
#<alt (+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)>
#<alt (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)>
#<alt (* x (+ (* x (* x 1/7)) 1/5))>
#<alt (+ (* x (* x 1/7)) 1/5)>
#<alt (* x 1/7)>

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
1.0ms	x	@	-inf	(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
0.0ms	x	@	-inf	(+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* 1/3 (* x (* x x))) x)

rewrite401.0ms (6.5%)

Memory

20.0MiB live, 446.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 046×	`accelerator-lowering-fma.f32`
8 046×	`accelerator-lowering-fma.f64`
5 292×	`-lowering-.f32`
5 292×	`-lowering-.f64`
3 858×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	87
1	123	87
2	978	87
0	8261	76

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 343

Calls

Call 1

Inputs
(+ (* 1/3 (* x (* x x))) x)
(* x (* x x))
(* x x)
(+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)
(+ (* x (* x 1/5)) 1/3)
(* x 1/5)
(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
(+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)
(* x (+ (* x (* x 1/7)) 1/5))
(+ (* x (* x 1/7)) 1/5)
(* x 1/7)

Outputs
(+.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/3 binary64) x) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x))))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x)) (neg.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)) (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))) (fma.f64 x (-.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal -1/35 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (fma.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))) (.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))))
(.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(*.f64 x #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) x)

simplify326.0ms (5.3%)

Memory

-22.6MiB live, 339.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 146×	`accelerator-lowering-fma.f32`
11 146×	`accelerator-lowering-fma.f64`
3 126×	`-lowering-.f32`
3 126×	`-lowering-.f64`
1 982×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	900
1	267	870
2	725	866
3	2028	864
4	5408	864
0	8263	802

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval99.0ms (1.6%)

Memory: 18.5MiB live, 128.0MiB allocated
Compiler: Compiled 19 615 to 1 338 computations (93.2% saved)

prune52.0ms (0.8%)

Memory

-0.8MiB live, 118.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	551	0	551
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	551	4	555

Accuracy

100.0%

Counts

555 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.8%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	99.4%	x

Compiler

Compiled 97 to 48 computations (50.5% saved)

regimes8.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes7.0ms (0.1%)

Memory

-24.5MiB live, 14.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)

Outputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)

Calls

4 calls:

2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)

Outputs
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.4%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.4%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify26.0ms (0.4%)

Memory

-47.9MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	19	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
x

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
x

soundness416.0ms (6.8%)

Memory

15.7MiB live, 244.7MiB allocated

Rules

11 698×	`accelerator-lowering-fma.f32`
11 698×	`accelerator-lowering-fma.f64`
3 498×	`-lowering-.f32`
3 498×	`-lowering-.f64`
2 550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	811	374
3	2110	370
4	3888	370
5	6111	370
0	8213	346

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 67 to 30 computations (55.2% saved)

preprocess43.0ms (0.7%)

Memory: 33.0MiB live, 70.5MiB allocated
Compiler: Compiled 108 to 48 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	10	35
1	16	35
2	20	35
3	25	35
4	32	35
5	42	35
6	58	35
7	79	35
8	109	35
9	159	35
10	201	35
11	297	35
12	474	35
13	654	35
0	654	35

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	10	35
1	16	35
2	20	35
3	25	35
4	32	35
5	42	35
6	58	35
7	79	35
8	109	35
9	159	35
10	201	35
11	297	35
12	474	35
13	654	35
0	654	35

analyze3.0ms (0%)

sample3.2s (52.5%)

preprocess35.0ms (0.6%)

explain388.0ms (6.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.3%)

localize91.0ms (1.5%)

series4.0ms (0.1%)

rewrite232.0ms (3.8%)

simplify332.0ms (5.4%)

eval169.0ms (2.8%)

prune112.0ms (1.8%)

simplify47.0ms (0.8%)

localize93.0ms (1.5%)

series8.0ms (0.1%)

rewrite401.0ms (6.5%)

simplify326.0ms (5.3%)

eval99.0ms (1.6%)

prune52.0ms (0.8%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify26.0ms (0.4%)

soundness416.0ms (6.8%)

preprocess43.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	10	10
1	16	10
2	20	10
3	25	10
4	32	10
5	42	10
6	58	10
7	79	10
8	109	10
9	159	10
10	201	10
11	297	10
12	474	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	10	35
1	16	35
2	20	35
3	25	35
4	32	35
5	42	35
6	58	35
7	79	35
8	109	35
9	159	35
10	201	35
11	297	35
12	474	35
13	654	35
0	654	35