Metrics for Hyperbolic arc-(co)tangent

analyze3.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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)

sample3.5s (30%)

Memory

21.4MiB live, 3 763.4MiB allocated

Samples

1.6s	4 896×	1	valid
1.4s	3 030×	2	valid
23.0ms	330×	0	valid
0.0ms	5×	0	invalid

Precisions

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

ival-log: 1.5s (60.8% of total)

ival-div: 244.0ms (9.6% of total)

adjust: 233.0ms (9.2% of total)

ival-mult: 204.0ms (8% of total)

ival-sub: 150.0ms (5.9% of total)

ival-add: 148.0ms (5.8% of total)

exact: 8.0ms (0.3% of total)

ival-true: 7.0ms (0.3% of total)

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

Bogosity

preprocess64.0ms (0.5%)

Memory

-8.9MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
132×	`lower-*.f32`
130×	`lower-*.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	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Stop Event

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

Calls

Call 1

Inputs
(*.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

(*.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))))

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

explain278.0ms (2.4%)

Memory

-18.4MiB live, 234.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(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	254	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	302×	1	valid
93.0ms	188×	2	valid
2.0ms	22×	0	valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-log: 93.0ms (56.5% of total)

ival-div: 36.0ms (21.9% of total)

adjust: 12.0ms (7.3% of total)

ival-sub: 8.0ms (4.9% of total)

ival-mult: 7.0ms (4.3% of total)

ival-add: 6.0ms (3.6% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.6%	(*.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)

simplify18.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB 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×	`lower-fma.f64`
208×	`lower-fma.f32`
132×	`lower-*.f32`
130×	`lower-*.f64`
104×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize152.0ms (1.3%)

Memory

-13.2MiB live, 105.5MiB 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	8.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

79.0ms	94×	2	valid
56.0ms	151×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

adjust: 33.0ms (34.6% of total)

ival-log: 30.0ms (31.5% of total)

ival-mult: 20.0ms (21% of total)

ival-div: 6.0ms (6.3% of total)

ival-add: 3.0ms (3.1% of total)

ival-sub: 3.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

5 → 48

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))>
#<alt (*.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))))>
#<alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) 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	(+ 1 x)
0.0ms	x	@	inf	(/ (+ 1 x) (- 1 x))

rewrite354.0ms (3%)

Memory

25.9MiB live, 381.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 620×	`lower-fma.f64`
2 620×	`lower-fma.f32`
2 338×	`lower-*.f32`
2 336×	`lower-*.f64`
1 694×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22

Stop Event

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

Counts

5 → 799

Calls

Call 1

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

simplify340.0ms (2.9%)

Memory

2.4MiB live, 513.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 698×	`lower-fma.f64`
11 698×	`lower-fma.f32`
3 498×	`lower-*.f64`
3 498×	`lower-*.f32`
2 550×	`lower-+.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 → 45

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))

eval124.0ms (1.1%)

Memory: 6.4MiB live, 285.2MiB allocated
Compiler: Compiled 23 068 to 3 090 computations (86.6% saved)

prune208.0ms (1.8%)

Memory

6.5MiB live, 243.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	840	4	844
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	841	4	845

Accuracy

100.0%

Counts

845 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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)
▶	99.5%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
▶	8.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 53 to 32 computations (39.6% saved)

simplify735.0ms (6.3%)

Memory

-16.8MiB live, 394.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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)
✓	cost-diff	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Rules

9 656×	`lower-fma.f32`
9 644×	`lower-fma.f64`
2 572×	`lower-*.f32`
2 560×	`lower-*.f64`
1 506×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	143
0	44	131
1	82	131
2	149	131
3	316	131
4	623	131
5	963	131
6	1028	131
7	1429	131
8	2073	131
9	3097	131
10	3904	131
11	5445	131
12	6409	131
13	7318	131
14	7333	131
15	7352	131
16	7401	131
17	7403	131
18	7403	131
19	7403	131
20	7541	131
21	7679	131
22	7776	131
23	7776	131
24	7776	131
25	7776	131
26	7776	131
27	7776	131
28	7776	131
29	7782	131
0	7782	131

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize272.0ms (2.3%)

Memory

14.3MiB live, 405.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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))
✓	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%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	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))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 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	8.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

121.0ms	151×	1	valid
108.0ms	94×	2	valid
2.0ms	11×	0	valid

Compiler

Compiled 156 to 30 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-log: 75.0ms (38.8% of total)

ival-add: 44.0ms (22.8% of total)

ival-mult: 28.0ms (14.5% of total)

adjust: 19.0ms (9.8% of total)

const: 18.0ms (9.3% of total)

ival-div: 4.0ms (2.1% of total)

ival-sub: 3.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

-28.4MiB live, 19.4MiB allocated

Counts

15 → 180

Calls

Call 1

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

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)))>
#<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

45 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
0.0ms	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	(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)

rewrite356.0ms (3%)

Memory

28.9MiB live, 496.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 956×	`lower-*.f32`
4 944×	`lower-*.f64`
4 674×	`lower-/.f32`
4 672×	`lower-/.f64`
4 640×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	44	104
1	176	104
2	1276	104
0	8366	100

Stop Event

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

Counts

15 → 519

Calls

Call 1

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

Outputs
(*.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 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))))
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(.f64 (.f64 x (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 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x 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 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal -1/25 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (neg.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(-.f64 (/.f64 #s(literal 1/25 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x #s(literal 1/7 binary64)) x #s(literal 1/5 binary64))
(fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (neg.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))) (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 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 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 (fma.f64 (.f64 (.f64 x (.f64 x 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 1/25 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal -1/25 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x 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 (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x 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 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64))) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) #s(literal 1/1953125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (-.f64 #s(literal 1/15625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1/42875 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) #s(literal -1/15625 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 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) #s(literal -1/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/625 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) #s(literal -1/625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal 1/25 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(/.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 (.f64 x (.f64 x 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 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal -1/25 binary64)))) (neg.f64 (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 (.f64 x (.f64 x 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 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x 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 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (fma.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 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 (.f64 x (.f64 x 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) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x 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 (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 (.f64 x (.f64 x 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 (.f64 x (.f64 x x)) x) #s(literal 1/49 binary64) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))
(.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x (.f64 x 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)

simplify592.0ms (5%)

Memory

-176.3MiB live, 467.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 984×	`lower-fma.f64`
13 984×	`lower-fma.f32`
3 780×	`lower-*.f64`
3 780×	`lower-*.f32`
2 886×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1308
1	508	1264
2	1317	1257
3	3528	1250
4	7089	1250
0	8062	1168

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

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

eval142.0ms (1.2%)

Memory: 32.6MiB live, 185.1MiB allocated
Compiler: Compiled 22 889 to 2 214 computations (90.3% saved)

prune93.0ms (0.8%)

Memory

-17.0MiB live, 149.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	778	3	781
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	778	7	785

Accuracy

100.0%

Counts

785 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(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)
✓	99.5%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
▶	21.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))
▶	98.8%	(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
✓	8.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 103 to 62 computations (39.8% saved)

simplify413.0ms (3.5%)

Memory

22.9MiB live, 409.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
✓	cost-diff	0	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	640	(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))

Rules

11 432×	`lower-fma.f32`
11 424×	`lower-fma.f64`
4 096×	`lower-*.f32`
4 086×	`lower-*.f64`
3 536×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	192
0	45	180
1	100	172
2	242	164
3	537	164
4	1788	164
5	3072	164
6	4385	164
7	6177	164
0	8047	164

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))
#s(literal 1/2 binary64)
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(log1p.f64 (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
x
#s(literal 1/2 binary64)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))
(.f64 #s(literal 1/2 binary64) (+.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))))
#s(literal 1/2 binary64)
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (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)))) (log1p.f64 (fma.f64 x x x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(log.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(log1p.f64 (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

localize198.0ms (1.7%)

Memory

-21.5MiB live, 272.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
✓	accuracy	100.0%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
✓	accuracy	100.0%	(log1p.f64 (fma.f64 x x x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	8.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))

Samples

130.0ms	245×	1	valid
3.0ms	11×	0	valid

Compiler

Compiled 216 to 29 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-div: 19.0ms (17.9% of total)

ival-log: 19.0ms (17.9% of total)

ival-mult: 17.0ms (16% of total)

adjust: 16.0ms (15.1% of total)

ival-add: 15.0ms (14.1% of total)

const: 14.0ms (13.2% of total)

ival-log1p: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-18.5MiB live, 18.5MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))>
#<alt (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))>
#<alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))>
#<alt (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)>
#<alt (.f64 x (.f64 x x))>
#<alt (log1p.f64 (fma.f64 x x x))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (pow x 2))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (+ 1 x)))))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (+ 1 (/ 1 x))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x)) 1) (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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))>
#<alt (+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 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) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))>
#<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) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 4/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 4/3 (* -1/4 x))) 1/2))))>
#<alt (+ (log -1) (* 2 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))>
#<alt (- (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1 x) (* 4/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* 2 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (* 2 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 x)) 1/2) x)) 1) x)) (* 2 (log (/ -1 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 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (/ 7 (pow x 7))>
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))>
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ 7 (pow x 7))>
#<alt (* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))>
#<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 (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 x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 2/3))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 2/3 (/ 1 (pow x 3))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)))>
#<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>
#<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)))))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ 1 (+ (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)) x))
2.0ms	x	@	-inf	(+ (log (/ (+ 1 x) (- 1 (* x (* x x))))) (log (+ 1 (+ (* x x) x))))
1.0ms	x	@	0	(* 1/2 (+ (log (/ (+ 1 x) (- 1 (* x (* x x))))) (log (+ 1 (+ (* x x) x)))))
1.0ms	x	@	-inf	(* 1/2 (+ (log (/ (+ 1 x) (- 1 (* x (* x x))))) (log (+ 1 (+ (* x x) x)))))
1.0ms	x	@	inf	(* 1/2 (+ (log (/ (+ 1 x) (- 1 (* x (* x x))))) (log (+ 1 (+ (* x x) x)))))

rewrite559.0ms (4.8%)

Memory

21.9MiB live, 371.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 220×	`lower-fma.f32`
5 212×	`lower-fma.f64`
4 194×	`lower-/.f32`
4 188×	`lower-/.f64`
4 024×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	156
0	45	136
1	216	132
2	1690	118
0	8274	110

Stop Event

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

Counts

13 → 612

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(.f64 x (.f64 x x))
(log1p.f64 (fma.f64 x x x))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))

Outputs
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)))))
(.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
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(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #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)))))
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(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal -1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal -1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))))))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(-.f64 (/.f64 #s(literal 1/25 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x #s(literal 1/7 binary64)) x #s(literal 1/5 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.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 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64)) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64) #s(literal -1/25 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.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 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.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 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64))) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.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 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64) #s(literal -1/25 binary64)))) (neg.f64 (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 (.f64 x x) (.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 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (fma.f64 (.f64 x 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 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (fma.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/343 binary64) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.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 (.f64 x x) (.f64 (.f64 x 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) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.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 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 (.f64 x x) (.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 (.f64 x x) (.f64 x x)) #s(literal 1/49 binary64) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))
(.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) (.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))))))

simplify459.0ms (3.9%)

Memory

17.6MiB live, 458.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 186×	`lower-fma.f64`
9 186×	`lower-fma.f32`
4 462×	`lower-+.f64`
4 462×	`lower-+.f32`
3 560×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	1576
1	910	1475
2	2419	1410
3	6963	1400
0	8750	1324

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 139

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (pow x 2))))
(+ 1 (* x (+ 1 (* (pow x 2) (+ 1 x)))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (+ 1 (/ 1 x))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x)) 1) (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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 1 x))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 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 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))
(* 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) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 x))))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 4/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 4/3 (* -1/4 x))) 1/2))))
(+ (log -1) (* 2 (log (/ 1 x))))
(+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x)))
(- (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))
(- (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1 x) (* 4/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* 2 (log (/ -1 x))))
(+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (* 2 (log (/ -1 x)))))
(+ (log -1) (+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 x)) 1/2) x)) 1) x)) (* 2 (log (/ -1 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 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/ 7 (pow x 7))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ 7 (pow x 7))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
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)))))))
(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)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 2/3))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 2/3 (/ 1 (pow x 3))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)))
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
(+ 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)))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (pow x 2))))
(fma.f64 x (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (+ 1 x)))))
(fma.f64 x (fma.f64 x (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (+ 1 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) x)) (.f64 x x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x 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 (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (/ 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) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 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) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x 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) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (/ 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) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))) (+ (/ 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) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))))
(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 (.f64 x 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) (+ (* -2 (log (/ 1 x))) (* 2 (log (/ 1 x)))))
(log.f64 #s(literal -1 binary64))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (* 2 (/ 1 x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* 2 (log (/ -1 x)))))
(log.f64 #s(literal -1 binary64))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* 2 (log (/ -1 x))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
(+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (log (/ -1 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))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 4/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 4/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 4/3 binary64)) #s(literal -1/2 binary64)) x)
(+ (log -1) (* 2 (log (/ 1 x))))
(fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 #s(literal -1 binary64))))
(- (+ (log -1) (+ (* 2 (log (/ 1 x))) (/ 1 x))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* 2 (log (/ 1 x))) (+ (/ 1 x) (* 4/3 (/ 1 (pow x 3)))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 4/3 binary64) x)) x)) x)))
(+ (log -1) (* 2 (log (/ -1 x))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* 2 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(+ (log -1) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (* 2 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 x)) 1/2) x)) 1) x)) (* 2 (log (/ -1 x)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 4/3 binary64) x)) x)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x 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 (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 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 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ 7 (pow x 7))
(/.f64 #s(literal 7 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/.f64 (+.f64 #s(literal 7 binary64) (/.f64 (-.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 196/75 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (+.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -196/75 binary64) (/.f64 #s(literal -8428/375 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(/ 7 (pow x 7))
(/.f64 #s(literal 7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(/.f64 (-.f64 #s(literal 7 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(/.f64 (-.f64 #s(literal 7 binary64) (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 x x)) (/.f64 #s(literal 196/75 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/.f64 (-.f64 #s(literal 7 binary64) (+.f64 (/.f64 #s(literal 196/75 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 x x)) (/.f64 #s(literal 8428/375 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x 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 (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 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 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x (.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 3)
(.f64 x (.f64 x x))
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* -2/3 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 2/3))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -2/3 binary64)) #s(literal 1/2 binary64)) x)
(* -2 (log (/ 1 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 2/3 (/ 1 (pow x 3))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) x)) x)) x))
(* -2 (log (/ -1 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))
(+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) x)) 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 (.f64 x x) (fma.f64 (.f64 x 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 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/7 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/7 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))

eval144.0ms (1.2%)

Memory: -6.8MiB live, 263.8MiB allocated
Compiler: Compiled 32 379 to 2 501 computations (92.3% saved)

prune103.0ms (0.9%)

Memory

11.1MiB live, 140.3MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	775	3	778
Fresh	0	0	0
Picked	3	0	3
Done	0	4	4
Total	778	7	785

Accuracy

100.0%

Counts

785 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(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)
✓	99.5%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
▶	9.1%	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))
✓	8.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.8%	x

Compiler

Compiled 98 to 58 computations (40.8% saved)

simplify339.0ms (2.9%)

Memory

-1.2MiB live, 352.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	(-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))
✓	cost-diff	64	(log.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Rules

11 522×	`lower-fma.f32`
11 514×	`lower-fma.f64`
2 674×	`lower-*.f32`
2 666×	`lower-*.f64`
2 112×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	178
0	42	168
1	97	168
2	257	166
3	557	166
4	1127	166
5	1720	166
6	2008	166
7	2964	166
8	4094	166
9	5323	166
10	7656	166
0	8198	159

Stop Event

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

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))
#s(literal 1/2 binary64)
(-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(log.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(log1p.f64 (neg.f64 (.f64 x (.f64 x x))))
(neg.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
#s(literal -44/945 binary64)
#s(literal -4/45 binary64)
#s(literal -1/3 binary64)

Outputs
x
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (.f64 x (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (log1p.f64 (.f64 x (.f64 x (neg.f64 x))))))
#s(literal 1/2 binary64)
(-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(-.f64 (log1p.f64 (.f64 x (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (log1p.f64 (.f64 x (*.f64 x (neg.f64 x)))))
(log.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(log1p.f64 (neg.f64 (.f64 x (.f64 x x))))
(log1p.f64 (.f64 x (.f64 x (neg.f64 x))))
(neg.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x (neg.f64 x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))
#s(literal -44/945 binary64)
#s(literal -4/45 binary64)
#s(literal -1/3 binary64)

localize227.0ms (1.9%)

Memory

-12.2MiB live, 222.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	8.6%	(log.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))

Samples

168.0ms	245×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 204 to 27 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 44.0ms (29.6% of total)

ival-log: 43.0ms (29% of total)

const: 20.0ms (13.5% of total)

ival-add: 14.0ms (9.4% of total)

adjust: 13.0ms (8.8% of total)

ival-div: 6.0ms (4% of total)

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

ival-log1p: 3.0ms (2% of total)

ival-sub: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))>
#<alt (log.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))>
#<alt (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))>
#<alt (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 x (.f64 x x))>
#<alt (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 x)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (- (* 2/5 (pow x 2)) 1/3))))>
#<alt (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/5 (* -1/2 x))) 1/3))))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (+ (* -3 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -3 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1/3 (pow x 3)))>
#<alt (- (+ (* -3 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (/ 1/3 (pow x 3)))>
#<alt (+ (log -1) (* -3 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) 2) x))))>
#<alt (+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) (+ 2 (/ 2/5 (pow x 4)))) 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 (* -1/2 (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 (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<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 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 (/ -945/44 (pow x 5))>
#<alt (/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))>
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))>
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -945/44 (pow x 5))>
#<alt (* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/2 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1))>
#<alt (* (pow x 3) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4 (pow x 3)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -3 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 (pow x 3)))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6))))) (/ 1 (pow x 3)))>
#<alt (* -3 (log (/ -1 x)))>
#<alt (- (* -3 (log (/ -1 x))) (/ 1 (pow x 3)))>
#<alt (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))>
#<alt (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3))))>
#<alt -1/3>
#<alt (- (* -4/45 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)>
#<alt (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)>
#<alt (* -44/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* -44/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt -4/45>
#<alt (- (* -44/945 (pow x 2)) 4/45)>
#<alt (- (* -44/945 (pow x 2)) 4/45)>
#<alt (- (* -44/945 (pow x 2)) 4/45)>
#<alt (* -44/945 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(log (+ 1 (neg (* x (* x x)))))
3.0ms	x	@	0	(log (+ 1 (neg (* x (* x x)))))
1.0ms	x	@	0	(* 1/2 (- (log (* (+ x (+ (* x x) 1)) (+ x 1))) (log (+ 1 (neg (* x (* x x)))))))
1.0ms	x	@	inf	(/ 1 (/ (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -44/945) -4/45)) -1/3)) 1) x))
1.0ms	x	@	-inf	(log (+ 1 (neg (* x (* x x)))))

rewrite367.0ms (3.1%)

Memory

1.0MiB live, 363.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 242×	`lower-fma.f32`
5 234×	`lower-fma.f64`
4 206×	`lower-/.f32`
4 202×	`lower-/.f64`
3 838×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	147
0	42	139
1	206	137
2	1727	123
0	8195	118

Stop Event

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

Counts

12 → 606

Calls

Call 1

Inputs
(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))
(-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(.f64 x (.f64 x x))
(log1p.f64 (neg.f64 (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))

Outputs
(+.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (fma.f64 x x x) x))
(+.f64 (fma.f64 x (fma.f64 x x x) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x x))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)) (-.f64 (fma.f64 x (fma.f64 x x x) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fma.f64 x (fma.f64 x x x) x) (+.f64 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 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x)))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 x x))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
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(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1936/893025 binary64)) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal 4/45 binary64))) (/.f64 #s(literal 16/2025 binary64) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal 4/45 binary64))))
(-.f64 (/.f64 #s(literal 16/2025 binary64) (-.f64 #s(literal -4/45 binary64) (.f64 x (.f64 x #s(literal -44/945 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1936/893025 binary64)) (-.f64 #s(literal -4/45 binary64) (.f64 x (.f64 x #s(literal -44/945 binary64))))))
(fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(fma.f64 #s(literal -44/945 binary64) (*.f64 x x) #s(literal -4/45 binary64))
(fma.f64 (*.f64 x #s(literal -44/945 binary64)) x #s(literal -4/45 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/2025 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1936/893025 binary64)) (.f64 (.f64 x x) #s(literal 176/42525 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -85184/843908625 binary64)) #s(literal -64/91125 binary64))))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -85184/843908625 binary64)) #s(literal -64/91125 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1936/893025 binary64) (-.f64 #s(literal 16/2025 binary64) (.f64 (.f64 x x) #s(literal 176/42525 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -85184/843908625 binary64)) #s(literal -64/91125 binary64)) (+.f64 #s(literal 16/2025 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1936/893025 binary64)) (.f64 (*.f64 x x) #s(literal 176/42525 binary64)))))
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(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64)))
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(.f64 (-.f64 #s(literal 16/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1936/893025 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/45 binary64) (.f64 x (*.f64 x #s(literal -44/945 binary64))))))

simplify321.0ms (2.7%)

Memory

-6.5MiB live, 310.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 734×	`lower-fma.f64`
9 734×	`lower-fma.f32`
4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
3 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1506
1	827	1485
2	2412	1451
3	6003	1444
0	8196	1360

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 x)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 2 (/ 1 x))))
(* (pow x 3) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))
(* 2 x)
(* x (+ 2 (* -1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 2/5 (pow x 2)) 1/3))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/5 (* -1/2 x))) 1/3))))
(* -3 (log (/ 1 x)))
(+ (* -3 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -3 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1/3 (pow x 3)))
(- (+ (* -3 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (/ 1/3 (pow x 3)))
(+ (log -1) (* -3 (log (/ -1 x))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) 2) x))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) (+ 2 (/ 2/5 (pow x 4)))) 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))))))))
(* -1/2 (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))))))))
(* -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)
(+ (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)))
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))))))))
(/ -945/44 (pow x 5))
(/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))
(/ -945/44 (pow x 5))
(* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* -1 (pow x 3))
(* (pow x 3) (- (* -1/2 (pow x 3)) 1))
(* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1))
(* (pow x 3) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4 (pow x 3)) 1/3)) 1/2)) 1))
(+ (log -1) (* -3 (log (/ 1 x))))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 (pow x 3)))
(+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6))))) (/ 1 (pow x 3)))
(* -3 (log (/ -1 x)))
(- (* -3 (log (/ -1 x))) (/ 1 (pow x 3)))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3))))
-1/3
(- (* -4/45 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(* -44/945 (pow x 4))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* -44/945 (pow x 4))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
-4/45
(- (* -44/945 (pow x 2)) 4/45)
(- (* -44/945 (pow x 2)) 4/45)
(- (* -44/945 (pow x 2)) 4/45)
(* -44/945 (pow x 2))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -44/945 (pow x 2))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 x)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (* 2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) (/.f64 x x) x))
(* (pow x 3) (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))
(* (pow x 3) (+ 1 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #s(literal 1 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (* 2 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) (/.f64 x x) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (- (* 2/5 (pow x 2)) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/5 (* -1/2 x))) 1/3))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2/5 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(* -3 (log (/ 1 x)))
(*.f64 #s(literal 3 binary64) (log.f64 x))
(+ (* -3 (log (/ 1 x))) (* 2 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) (log.f64 x) (/.f64 #s(literal 2 binary64) x))
(- (+ (* -3 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1/3 (pow x 3)))
(fma.f64 #s(literal 3 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))
(- (+ (* -3 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (/ 1/3 (pow x 3)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (fma.f64 #s(literal 3 binary64) (log.f64 x) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(+ (log -1) (* -3 (log (/ -1 x))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* 2 (/ 1 x))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) 2) x))))
(+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))
(+ (log -1) (+ (* -3 (log (/ -1 x))) (* -1 (/ (- (* 1/3 (/ 1 (pow x 2))) (+ 2 (/ 2/5 (pow x 4)))) x))))
(+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x 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 (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) 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 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 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 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 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 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 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 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x 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 x (.f64 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)))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(+.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))) (log.f64 #s(literal -1 binary64))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.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))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x 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 (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(/ -945/44 (pow x 5))
(/.f64 #s(literal -945/44 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))
(/.f64 (+.f64 #s(literal -945/44 binary64) (/.f64 #s(literal 19845/484 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))
(/.f64 (+.f64 #s(literal -945/44 binary64) (+.f64 (/.f64 #s(literal 19845/484 binary64) (.f64 x x)) (/.f64 #s(literal 1607445/21296 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))
(/.f64 (+.f64 (/.f64 #s(literal 1607445/21296 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -945/44 binary64) (/.f64 #s(literal 19845/484 binary64) (.f64 x x))) (/.f64 #s(literal -210575295/234256 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(/ -945/44 (pow x 5))
(/.f64 #s(literal -945/44 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -945/44 binary64) (/.f64 #s(literal 19845/484 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -945/44 binary64) (/.f64 (+.f64 #s(literal 19845/484 binary64) (/.f64 #s(literal 1607445/21296 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))
(/.f64 (+.f64 (/.f64 #s(literal 1607445/21296 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal -945/44 binary64) (/.f64 #s(literal 19845/484 binary64) (.f64 x x))) (/.f64 #s(literal -210575295/234256 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(* -44/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -44/945 binary64))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 44/945 binary64) (/.f64 #s(literal 4/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -44/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -44/945 binary64))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal -44/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -4/45 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 44/945 binary64) (/.f64 #s(literal 4/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -44/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -44/945 binary64))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -44/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -4/45 binary64) (.f64 x x))) #s(literal 1 binary64))
(* -44/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -44/945 binary64))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -44/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -4/45 binary64) (.f64 x x))) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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))
(* -1 (pow x 3))
(neg.f64 (.f64 x (.f64 x x)))
(* (pow x 3) (- (* -1/2 (pow x 3)) 1))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow x 3) (- (* (pow x 3) (- (* -1/3 (pow x 3)) 1/2)) 1))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 3) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/4 (pow x 3)) 1/3)) 1/2)) 1))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -3 (log (/ 1 x))))
(fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 (pow x 3)))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3)))))
(+.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 3)))) (pow x 6))))) (/ 1 (pow x 3)))
(+.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(* -3 (log (/ -1 x)))
(*.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))))
(- (* -3 (log (/ -1 x))) (/ 1 (pow x 3)))
(fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 6)) (* 1/2 (/ 1 (pow x 3))))) (pow x 3))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x (.f64 x x))))
-1/3
#s(literal -1/3 binary64)
(- (* -4/45 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64))
(* -44/945 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -44/945 binary64))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (*.f64 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x x))))
(* -44/945 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -44/945 binary64))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -44/945 binary64) (/.f64 #s(literal -4/45 binary64) (*.f64 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -44/945 binary64) (/.f64 (+.f64 #s(literal -4/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x x))))
-4/45
#s(literal -4/45 binary64)
(- (* -44/945 (pow x 2)) 4/45)
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(- (* -44/945 (pow x 2)) 4/45)
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(- (* -44/945 (pow x 2)) 4/45)
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(* -44/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -44/945 binary64))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(* -44/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -44/945 binary64))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))
(* -1 (* (pow x 2) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64))

eval121.0ms (1%)

Memory: 15.8MiB live, 167.4MiB allocated
Compiler: Compiled 37 365 to 3 350 computations (91% saved)

prune85.0ms (0.7%)

Memory

-16.3MiB live, 144.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	810	4	814
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	812	9	821

Accuracy

100.0%

Counts

821 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(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)
✓	99.5%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
	99.5%	(/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
	99.5%	(.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))) x)
	9.2%	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 x (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x))))))
✓	8.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.8%	x

Compiler

Compiled 428 to 163 computations (61.9% saved)

regimes16.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(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 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -44/945 binary64) #s(literal -4/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)))
(.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.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 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 x (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (.f64 x (.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))))

Outputs
(/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

4.0ms	x
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(*.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))))
4.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes14.0ms (0.1%)

Memory

-28.7MiB live, 10.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(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)

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:

8.0ms	x
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) 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	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	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

11.2MiB live, 11.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(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	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	(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
99.5%	1	`x`
99.5%	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))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(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:

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	(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)

regimes5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))

Outputs
x

Calls

4 calls:

1.0ms	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) #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
98.8%	1	`x`
98.8%	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))))`
98.8%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify7.0ms (0.1%)

Memory

-29.8MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	58
1	34	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(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
(/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -44/945 binary64)) #s(literal -4/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(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

soundness993.0ms (8.4%)

Memory

36.9MiB live, 502.3MiB allocated

Rules

13 984×	`lower-fma.f64`
13 984×	`lower-fma.f32`
11 698×	`lower-fma.f64`
11 698×	`lower-fma.f32`
9 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	156
0	45	136
1	216	132
2	1690	118
0	8274	110
0	110	390
1	322	376
2	811	374
3	2110	370
4	3888	370
5	6111	370
0	8213	346
0	308	1576
1	910	1475
2	2419	1410
3	6963	1400
0	8750	1324
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22
0	22	112
0	44	104
1	176	104
2	1276	104
0	8366	100
0	164	1308
1	508	1264
2	1317	1257
3	3528	1250
4	7089	1250
0	8062	1168
0	22	147
0	42	139
1	206	137
2	1727	123
0	8195	118

Stop Event

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

Compiler

Compiled 144 to 76 computations (47.2% saved)

preprocess67.0ms (0.6%)

Memory: 2.8MiB live, 80.2MiB allocated
Compiler: Compiled 144 to 68 computations (52.8% 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	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	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	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35

analyze3.0ms (0%)

sample3.5s (30%)

preprocess64.0ms (0.5%)

explain278.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize152.0ms (1.3%)

series4.0ms (0%)

rewrite354.0ms (3%)

simplify340.0ms (2.9%)

eval124.0ms (1.1%)

prune208.0ms (1.8%)

simplify735.0ms (6.3%)

localize272.0ms (2.3%)

series17.0ms (0.1%)

rewrite356.0ms (3%)

simplify592.0ms (5%)

eval142.0ms (1.2%)

prune93.0ms (0.8%)

simplify413.0ms (3.5%)

localize198.0ms (1.7%)

series13.0ms (0.1%)

rewrite559.0ms (4.8%)

simplify459.0ms (3.9%)

eval144.0ms (1.2%)

prune103.0ms (0.9%)

simplify339.0ms (2.9%)

localize227.0ms (1.9%)

series14.0ms (0.1%)

rewrite367.0ms (3.1%)

simplify321.0ms (2.7%)

eval121.0ms (1%)

prune85.0ms (0.7%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

simplify7.0ms (0.1%)

soundness993.0ms (8.4%)

preprocess67.0ms (0.6%)

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	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35