Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample990.0ms (10.9%)

Memory

16.3MiB live, 1 453.6MiB allocated

Samples

746.0ms	8 256×	0	valid
1.0ms	18×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-div: 194.0ms (32.4% of total)

ival-log: 189.0ms (31.6% of total)

ival-sqrt: 66.0ms (11% of total)

ival-sub: 52.0ms (8.7% of total)

ival-mult: 48.0ms (8% of total)

ival-add: 36.0ms (6% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess682.0ms (7.5%)

Memory

-4.4MiB live, 538.9MiB allocated

Algorithm

1×	egg-herbie

Rules

28 400×	`lower-fma.f64`
28 400×	`lower-fma.f32`
3 690×	`lower-*.f32`
3 688×	`lower-*.f64`
2 256×	`lower-+.f32`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	34	27
2	71	27
3	153	27
4	261	27
5	409	27
6	633	23
7	1008	23
8	1424	23
9	1995	23
10	4391	23
11	5872	23
12	6901	23
13	7311	23
14	7679	23
15	7835	23
0	9	13
0	16	13
1	24	13
2	31	13
3	39	13
4	54	13
5	74	13
6	117	13
7	315	13
8	597	13
9	1167	13
10	2099	13
11	3834	13
12	4826	13
13	5183	13
14	5518	11
15	5777	11
16	5858	11
17	6069	11
18	6989	11
0	8045	11

Stop Event

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

Calls

Call 1

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

Outputs

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

(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) x))

explain240.0ms (2.6%)

Memory

22.5MiB live, 191.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

139.0ms

512×

valid

Compiler

Compiled 136 to 40 computations (70.6% saved)

Precisions

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

ival-mult: 58.0ms (46.5% of total)

ival-div: 51.0ms (40.9% of total)

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

ival-sqrt: 4.0ms (3.2% of total)

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

ival-add: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune34.0ms (0.4%)

Memory

-34.8MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify752.0ms (8.3%)

Memory

20.3MiB live, 660.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

28 400×	`lower-fma.f64`
28 400×	`lower-fma.f32`
3 690×	`lower-*.f32`
3 688×	`lower-*.f64`
2 256×	`lower-+.f32`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	16	52
1	24	52
2	31	52
3	39	52
4	54	52
5	74	52
6	117	52
7	315	52
8	597	52
9	1167	52
10	2099	52
11	3834	52
12	4826	52
13	5183	52
14	5518	48
15	5777	48
16	5858	48
17	6069	48
18	6989	48
0	8045	48

Stop Event

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

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

-20.1MiB live, 60.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.6% of total)

ival-log: 3.0ms (23.7% of total)

ival-sqrt: 2.0ms (15.8% of total)

ival-add: 1.0ms (7.9% of total)

ival-mult: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 x))>
#<alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))>
#<alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ 1 x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))>
#<alt (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))>
#<alt (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>

Calls

18 calls:

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

rewrite331.0ms (3.7%)

Memory

-18.4MiB live, 450.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 520×	`lower-fma.f64`
4 520×	`lower-fma.f32`
3 106×	`lower-*.f32`
3 104×	`lower-*.f64`
2 972×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	16	47
1	69	47
2	624	43
3	7596	43
0	8354	43

Stop Event

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

Counts

6 → 399

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (*.f64 x x)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (*.f64 x x)))))
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(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x (neg.f64 x))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (neg.f64 x))))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (fma.f64 x (-.f64 (.f64 x (.f64 x x)) x) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal 1 binary64))) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (-.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x x) x)))))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (.f64 x x) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal 1 binary64))) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (-.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x x) x)))))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x x) x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (fma.f64 x (-.f64 (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))

simplify461.0ms (5.1%)

Memory

-10.4MiB live, 783.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 554×	`lower-fma.f64`
17 554×	`lower-fma.f32`
3 374×	`lower-*.f64`
3 374×	`lower-*.f32`
2 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	830
1	418	796
2	1119	776
3	3244	763
0	8061	734

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(-.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -3/32 binary64) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(-.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -5/96 binary64)) #s(literal -3/32 binary64))) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 3/40 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x)))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x x))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(-.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(fma.f64 x (+.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

eval61.0ms (0.7%)

Memory: 34.0MiB live, 144.5MiB allocated
Compiler: Compiled 13 043 to 1 750 computations (86.6% saved)

prune62.0ms (0.7%)

Memory

3.2MiB live, 156.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	466	5	471
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	5	472

Accuracy

100.0%

Counts

472 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))
▶	99.5%	(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
▶	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	99.2%	(log.f64 (/.f64 #s(literal 2 binary64) x))
▶	0.0%	(log.f64 (sqrt.f64 #s(literal -1 binary64)))

Compiler

Compiled 94 to 64 computations (31.9% saved)

simplify479.0ms (5.3%)

Memory

-27.0MiB live, 423.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
✓	cost-diff	128	(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))
✓	cost-diff	512	(/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
✓	cost-diff	0	(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(sqrt.f64 #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (sqrt.f64 #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))

Rules

8 132×	`lower-fma.f32`
8 128×	`lower-fma.f64`
3 408×	`lower-*.f32`
3 404×	`lower-*.f64`
2 016×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	156
0	43	152
1	61	152
2	72	152
3	89	150
4	122	146
5	148	146
6	316	146
7	1054	146
8	3287	146
9	4949	146
0	8097	146

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.6%)

Memory

0.2MiB live, 119.0MiB allocated

Localize:

Found 16 expressions of interest:

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

Samples

83.0ms

256×

invalid

Compiler

Compiled 158 to 27 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 12.0ms (27% of total)

ival-sub: 11.0ms (24.8% of total)

ival-div: 6.0ms (13.5% of total)

ival-mult: 6.0ms (13.5% of total)

ival-add: 4.0ms (9% of total)

ival-sqrt: 3.0ms (6.8% of total)

exact: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

series65.0ms (0.7%)

Memory

26.2MiB live, 143.5MiB allocated

Counts

16 → 168

Calls

Call 1

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

Outputs
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 x))>
#<alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))>
#<alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ 1 x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (/ 1 x)))>
#<alt (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (- (sqrt -1) (/ 1 x))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))>
#<alt (/ 1 (sqrt -1))>
#<alt (- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))>
#<alt (/ -1 (sqrt -1))>
#<alt (* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))>
#<alt (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (log (/ 1 (sqrt -1))))>
#<alt (- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))>
#<alt (- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))>
#<alt (* -1 (log (/ -1 (sqrt -1))))>
#<alt (* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))>
#<alt (- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))>
#<alt (- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))>
#<alt (log (/ 1 (sqrt -1)))>
#<alt (- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))>
#<alt (log (/ -1 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))>
#<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)>

Calls

42 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (/ 2 x))
20.0ms	x	@	-inf	(log (/ 2 x))
8.0ms	x	@	inf	(log (/ 2 x))
1.0ms	x	@	inf	(neg (log (/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x))))
1.0ms	x	@	-inf	(/ (* x x) (+ (* x (sqrt (- 1 (* x x)))) x))

rewrite402.0ms (4.4%)

Memory

-5.3MiB live, 471.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 594×	`lower-fma.f32`
8 590×	`lower-fma.f64`
4 764×	`lower-*.f32`
4 760×	`lower-*.f64`
3 542×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	118
0	43	118
1	148	117
2	952	115
0	8650	114

Stop Event

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

Counts

16 → 697

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (.f64 x x)) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (.f64 x x)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(-.f64 (log.f64 (.f64 x x)) (-.f64 (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (.f64 x x)) (+.f64 (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) x)))
(-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
(-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (neg.f64 (log.f64 x))))
(-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) x)) (log1p.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (/.f64 (.f64 x x) x)) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x))) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x)))) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)) (.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))) (+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 x))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) x) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 x x) x)))
(/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 (.f64 x x) (-.f64 x (.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (.f64 x x) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 x)))
(/.f64 (.f64 x x) (.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x))
(/.f64 (neg.f64 (.f64 x x)) (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))) (.f64 (log.f64 x) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))) (.f64 (log.f64 (.f64 x x)) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 (.f64 x x))) (log.f64 (neg.f64 (.f64 x x))) (fma.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (.f64 (log.f64 (neg.f64 (.f64 x x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))) (-.f64 (log.f64 x) (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))) (-.f64 (log.f64 (.f64 x x)) (neg.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 x x))) (log.f64 (neg.f64 (.f64 x x)))) (.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))) (+.f64 (log.f64 (neg.f64 (.f64 x x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(.f64 (neg.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (log.f64 (*.f64 x x)))))))
(.f64 (.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (log.f64 (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 x (neg.f64 (.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 x #s(literal -1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify438.0ms (4.8%)

Memory

-8.7MiB live, 429.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 946×	`lower-fma.f64`
10 946×	`lower-fma.f32`
3 610×	`lower-+.f64`
3 610×	`lower-+.f32`
3 536×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	1867
1	945	1757
2	2593	1706
3	7233	1702
0	8516	1644

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(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)

Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(-.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -3/32 binary64) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -5/96 binary64)) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -3/40 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (.f64 x (.f64 x (.f64 x x))))))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))) x) (sqrt.f64 #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (/ 1 x)))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))))))
(* -1 (* x (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(neg.f64 (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))) #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(-.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/32 binary64) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x)) (neg.f64 (log.f64 (neg.f64 x)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 (log.f64 (neg.f64 x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/128 binary64) #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(/ 1 (sqrt -1))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x)))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) x))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -3/32 binary64) #s(literal -1/4 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -5/96 binary64)) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (neg.f64 (log.f64 x))) (log.f64 #s(literal 1/2 binary64)))
(* -1 (log (/ 1 (sqrt -1))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (log (/ -1 (sqrt -1))))
(neg.f64 (neg.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -3/40 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (.f64 x (.f64 x (.f64 x x))))))) x))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+.f64 (log.f64 x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/32 binary64)) #s(literal 1/4 binary64))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(+.f64 (log.f64 x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/96 binary64) #s(literal 3/32 binary64)) #s(literal 1/4 binary64)) (log.f64 #s(literal 1/2 binary64))))
(log (/ 1 (sqrt -1)))
(neg.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -3/40 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
(log (/ -1 (sqrt -1)))
(neg.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (.f64 x (.f64 x (.f64 x x)))))) x) (log.f64 (neg.f64 (sqrt.f64 #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)

eval166.0ms (1.8%)

Memory: -1.4MiB live, 189.5MiB allocated
Compiler: Compiled 22 935 to 3 188 computations (86.1% saved)

prune139.0ms (1.5%)

Memory

18.1MiB live, 217.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 004	5	1 009
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 007	7	1 014

Accuracy

100.0%

Counts

1 014 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
▶	99.5%	(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
▶	99.5%	(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
▶	99.2%	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	99.5%	(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
▶	99.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))

Compiler

Compiled 122 to 89 computations (27% saved)

simplify15.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(log.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(log.f64 #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))

Rules

260×	`lower-fma.f32`
252×	`lower-fma.f64`
172×	`lower-*.f32`
156×	`lower-*.f64`
92×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	171
0	55	171
1	101	168
2	173	168
3	257	168
4	277	168
5	290	168
6	299	168
0	299	165

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(log.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64))
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(log.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize117.0ms (1.3%)

Memory

-16.4MiB live, 187.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(log.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/16 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))

Samples

69.0ms

256×

invalid

Compiler

Compiled 173 to 35 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 20.0ms (45.3% of total)

ival-log: 13.0ms (29.4% of total)

ival-add: 6.0ms (13.6% of total)

ival-neg: 3.0ms (6.8% of total)

ival-div: 2.0ms (4.5% of total)

exact: 1.0ms (2.3% of total)

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

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

series95.0ms (1%)

Memory

-9.2MiB live, 105.3MiB allocated

Counts

21 → 228

Calls

Call 1

Inputs
#<alt (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))>
#<alt (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (log.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))>
#<alt (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)>
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 1/16 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 1/8 binary64))>
#<alt (*.f64 x #s(literal -1/2 binary64))>

Outputs
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* 5/192 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/16) (* -5 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/16) (* -5 (log (/ 1 x)))))>
#<alt (- (* 40/3 (/ 1 (pow x 6))) (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))>
#<alt (* -1 (+ (log -1/16) (* -5 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/16) (* -5 (log (/ -1 x)))))>
#<alt (- (* 40/3 (/ 1 (pow x 6))) (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* -5/192 (pow x 2))))))))>
#<alt (+ (log 1/16) (* -5 (log (/ 1 x))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))>
#<alt (+ (log -1/16) (* -5 (log (/ -1 x))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* 1/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (+ 1/32 (* -1/192 (pow x 2)))) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/8) (* -3 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))))>
#<alt (- (/ 8 (pow x 4)) (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))))>
#<alt (- (/ 8 (pow x 4)) (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))))>
#<alt (* -1 (+ (log -1/8) (* -3 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))))>
#<alt (- (/ 8 (pow x 4)) (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))))>
#<alt (- (/ 8 (pow x 4)) (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* -1/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/32))))))>
#<alt (+ (log 1/8) (* -3 (log (/ 1 x))))>
#<alt (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 8 (pow x 4)))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))) (/ 8 (pow x 4)))>
#<alt (+ (log -1/8) (* -3 (log (/ -1 x))))>
#<alt (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 8 (pow x 4)))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))) (/ 8 (pow x 4)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (pow x 2)))>
#<alt (+ 1/2 (* 1/8 (pow x 2)))>
#<alt (+ 1/2 (* 1/8 (pow x 2)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>

Calls

57 calls:

Time	Variable		Point	Expression
43.0ms	x	@	-inf	(neg (log (* x 1/2)))
20.0ms	x	@	0	(/ (+ 1 (+ (* x (* x -1/2)) 1)) x)
16.0ms	x	@	0	(neg (log (* x 1/2)))
5.0ms	x	@	inf	(neg (log (* x 1/2)))
1.0ms	x	@	inf	(neg (log (* x (+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2))))

rewrite464.0ms (5.1%)

Memory

41.6MiB live, 429.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 498×	`lower-*.f32`
4 482×	`lower-*.f64`
4 336×	`lower-/.f32`
4 334×	`lower-/.f64`
3 628×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	151
0	55	151
1	185	147
2	1223	147
0	8544	144

Stop Event

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

Counts

21 → 574

Calls

Call 1

Inputs
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(log.f64 #s(literal -1 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/16 binary64))
(*.f64 x x)
(*.f64 x #s(literal 1/8 binary64))
(*.f64 x #s(literal -1/2 binary64))

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(-.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (log.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (-.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)) (+.f64 (pow.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))) (.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (-.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 x) (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x #s(literal 1/8 binary64)))))) (log.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (*.f64 x #s(literal 1/2 binary64)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 x #s(literal 1/16 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))

simplify563.0ms (6.2%)

Memory

-24.9MiB live, 493.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 648×	`lower-fma.f64`
13 648×	`lower-fma.f32`
5 506×	`lower-+.f64`
5 506×	`lower-+.f32`
2 804×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	2014
1	729	1970
2	1988	1954
3	5384	1952
0	8192	1851

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* 5/192 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (+ (log 1/16) (* -5 (log (/ 1 x)))))
(* -1 (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/16) (* -5 (log (/ 1 x)))))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(* -1 (+ (log -1/16) (* -5 (log (/ -1 x)))))
(* -1 (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/16) (* -5 (log (/ -1 x)))))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* -5/192 (pow x 2))))))))
(+ (log 1/16) (* -5 (log (/ 1 x))))
(+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))
(+ (log -1/16) (* -5 (log (/ -1 x))))
(+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
1/2
(+ 1/2 (* 1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* 1/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (+ 1/32 (* -1/192 (pow x 2)))) 1/4)) (+ (log 1/2) (log x)))
(* -1 (+ (log 1/8) (* -3 (log (/ 1 x)))))
(* -1 (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))))
(- (/ 8 (pow x 4)) (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))))
(- (/ 8 (pow x 4)) (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/8) (* -3 (log (/ -1 x)))))
(* -1 (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))))
(- (/ 8 (pow x 4)) (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))))
(- (/ 8 (pow x 4)) (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* -1/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/32))))))
(+ (log 1/8) (* -3 (log (/ 1 x))))
(+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))
(- (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 8 (pow x 4)))
(- (+ (log 1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))) (/ 8 (pow x 4)))
(+ (log -1/8) (* -3 (log (/ -1 x))))
(+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))
(- (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 8 (pow x 4)))
(- (+ (log -1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 64/3 (/ 1 (pow x 6)))))) (/ 8 (pow x 4)))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/8 (pow x 2)))
(+ 1/2 (* 1/8 (pow x 2)))
(+ 1/2 (* 1/8 (pow x 2)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)

Outputs
(* -1 (+ (log 1/2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -3/32 binary64)) #s(literal -1/4 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* 5/192 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/192 binary64) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(* -1 (+ (log 1/16) (* -5 (log (/ 1 x)))))
(-.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 #s(literal 1/16 binary64)))
(* -1 (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 (log.f64 x) #s(literal 5 binary64) (log.f64 #s(literal 1/16 binary64))))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/16) (* -5 (log (/ 1 x)))))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -6 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 (log.f64 x) #s(literal 5 binary64) (log.f64 #s(literal 1/16 binary64))))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(+.f64 (/.f64 #s(literal 40/3 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 #s(literal -6 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (log.f64 x) #s(literal 5 binary64) (log.f64 #s(literal 1/16 binary64)))))
(* -1 (+ (log -1/16) (* -5 (log (/ -1 x)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64) (neg.f64 (log.f64 #s(literal -1/16 binary64))))
(* -1 (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (log.f64 #s(literal -1/16 binary64)))
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(* x (+ 1/2 (* 1/8 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/8 (pow x 3))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/8 (pow x 3))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(-.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(-.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))

eval139.0ms (1.5%)

Memory: 10.2MiB live, 214.6MiB allocated
Compiler: Compiled 20 987 to 2 535 computations (87.9% saved)

prune115.0ms (1.3%)

Memory

-4.2MiB live, 194.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	801	1	802
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	801	8	809

Accuracy

100.0%

Counts

809 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	99.5%	(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	99.5%	(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
▶	99.5%	(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
✓	99.2%	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	99.5%	(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
✓	99.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))

Compiler

Compiled 89 to 64 computations (28.1% saved)

simplify14.0ms (0.2%)

Memory

-16.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))

Rules

236×	`lower-fma.f32`
234×	`lower-fma.f64`
148×	`lower-*.f32`
140×	`lower-*.f64`
66×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	83
0	21	83
1	46	83
2	110	83
3	208	83
4	224	83
5	232	83
6	237	83
0	237	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
x
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

Outputs
(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

localize41.0ms (0.5%)

Memory

36.9MiB live, 76.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (49.6% of total)

ival-log: 3.0ms (21.2% of total)

ival-add: 2.0ms (14.2% of total)

ival-neg: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-29.6MiB live, 7.5MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))>
#<alt (neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))>
#<alt (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* 5/192 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/16) (* -5 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/16) (* -5 (log (/ 1 x)))))>
#<alt (- (* 40/3 (/ 1 (pow x 6))) (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))>
#<alt (* -1 (+ (log -1/16) (* -5 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/16) (* -5 (log (/ -1 x)))))>
#<alt (- (* 40/3 (/ 1 (pow x 6))) (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* -5/192 (pow x 2))))))))>
#<alt (+ (log 1/16) (* -5 (log (/ 1 x))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))>
#<alt (+ (log -1/16) (* -5 (log (/ -1 x))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))>

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(neg (log (* x (+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2))))
0.0ms	x	@	inf	(* (* x x) (+ (* x (* x 1/16)) 1/8))
0.0ms	x	@	0	(* (* x x) (+ (* x (* x 1/16)) 1/8))
0.0ms	x	@	0	(log (* x (+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2)))
0.0ms	x	@	0	(+ (* (* x x) (+ (* x (* x 1/16)) 1/8)) 1/2)

rewrite462.0ms (5.1%)

Memory

3.2MiB live, 420.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 776×	`lower-fma.f32`
5 774×	`lower-fma.f64`
4 326×	`lower-*.f32`
4 318×	`lower-*.f64`
2 150×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
0	21	67
1	82	67
2	559	67
3	5603	67
0	8071	63

Stop Event

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

Counts

5 → 407

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))

Outputs
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/16 binary64))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (.f64 x #s(literal 1/8 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64))) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/16 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))) (.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) x #s(literal 1/2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/16 binary64)) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))
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(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/128 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)))) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64))))) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)))) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64)))))) (-.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64))) (.f64 x x)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64))) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64))))) #s(literal -1 binary64))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) (*.f64 x x)))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) x)
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64))))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/16777216 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/128 binary64) #s(literal 1/64 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/128 binary64) #s(literal 1/64 binary64)) (fma.f64 (.f64 x x) #s(literal -1/128 binary64) #s(literal 1/64 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/128 binary64) #s(literal 1/64 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -1/128 binary64) #s(literal 1/64 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/65536 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal 1/512 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/256 binary64)) #s(literal 1/128 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) (.f64 (.f64 x x) #s(literal 1/128 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) (.f64 (.f64 x x) #s(literal 1/128 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64))) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/128 binary64) #s(literal 1/64 binary64))))

simplify326.0ms (3.6%)

Memory

-20.8MiB live, 257.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 966×	`lower-fma.f64`
8 966×	`lower-fma.f32`
2 774×	`lower-+.f64`
2 774×	`lower-+.f32`
2 668×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	765
1	345	764
2	928	751
3	2407	751
4	5335	751
0	8403	689

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* 5/192 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (+ (log 1/16) (* -5 (log (/ 1 x)))))
(* -1 (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/16) (* -5 (log (/ 1 x)))))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(* -1 (+ (log -1/16) (* -5 (log (/ -1 x)))))
(* -1 (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/16) (* -5 (log (/ -1 x)))))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* -5/192 (pow x 2))))))))
(+ (log 1/16) (* -5 (log (/ 1 x))))
(+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))
(+ (log -1/16) (* -5 (log (/ -1 x))))
(+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))
(* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))
(* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow x 2)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* 1/16 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -3/32 binary64) #s(literal -1/4 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* 5/192 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 5/192 binary64) #s(literal -3/32 binary64))) #s(literal -1/4 binary64)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(* -1 (+ (log 1/16) (* -5 (log (/ 1 x)))))
(-.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 #s(literal 1/16 binary64)))
(* -1 (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))))
(-.f64 (fma.f64 (log.f64 x) #s(literal -5 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (log.f64 #s(literal 1/16 binary64)))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/16) (* -5 (log (/ 1 x)))))
(-.f64 (fma.f64 (log.f64 x) #s(literal -5 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x))) (log.f64 #s(literal 1/16 binary64)))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(+.f64 (/.f64 #s(literal 40/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (fma.f64 (log.f64 x) #s(literal -5 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (*.f64 x x))) (log.f64 #s(literal 1/16 binary64))))
(* -1 (+ (log -1/16) (* -5 (log (/ -1 x)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64) (neg.f64 (log.f64 #s(literal -1/16 binary64))))
(* -1 (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64))))
(- (* -1 (/ (+ 2 (* 6 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/16) (* -5 (log (/ -1 x)))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64))))
(- (* 40/3 (/ 1 (pow x 6))) (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (/.f64 #s(literal 40/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64)))))
(+ (log 1/2) (log x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (log.f64 x)))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 3/32 binary64) #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* -5/192 (pow x 2))))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/192 binary64)) #s(literal 3/32 binary64)) #s(literal 1/4 binary64)) (log.f64 x)))
(+ (log 1/16) (* -5 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 5 binary64) (log.f64 #s(literal 1/16 binary64)))
(+ (log 1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (fma.f64 (log.f64 x) #s(literal 5 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (fma.f64 (log.f64 x) #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 (log.f64 x) #s(literal 5 binary64) (/.f64 #s(literal -40/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(+ (log -1/16) (* -5 (log (/ -1 x))))
(fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64)))
(+ (log -1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64))))
(+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64))))
(- (+ (log -1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 40/3 (/ 1 (pow x 6))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (.f64 x x)) (+.f64 (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/16 binary64))) (/.f64 #s(literal -40/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/16 (pow x 5))
(.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/16 (pow x 5))
(.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* 1/16 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* 1/16 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)))

eval62.0ms (0.7%)

Memory: 35.8MiB live, 73.8MiB allocated
Compiler: Compiled 18 413 to 1 835 computations (90% saved)

prune97.0ms (1.1%)

Memory

0.1MiB live, 79.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	467	0	467
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	467	8	475

Accuracy

100.0%

Counts

475 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	99.5%	(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	99.5%	(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	99.5%	(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
✓	99.2%	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	99.5%	(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
✓	99.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))

Compiler

Compiled 206 to 119 computations (42.2% saved)

regimes22.0ms (0.2%)

Memory

-25.8MiB live, 13.7MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

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

Calls

3 calls:

14.0ms

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

4.0ms

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

4.0ms

Results

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes10.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))

Outputs
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

Results

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

Results

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes8.0ms (0.1%)

Memory

-21.2MiB live, 18.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))

Outputs
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

Results

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

Results

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes13.0ms (0.1%)

Memory

-38.7MiB live, 9.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

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

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`
0.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify7.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	54
1	56	54
2	68	54
3	75	54
4	77	54

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
(neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))

soundness843.0ms (9.3%)

Memory

40.5MiB live, 588.4MiB allocated

Rules

17 554×	`lower-fma.f64`
17 554×	`lower-fma.f32`
10 946×	`lower-fma.f64`
10 946×	`lower-fma.f32`
8 594×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	830
1	418	796
2	1119	776
3	3244	763
0	8061	734
0	23	118
0	43	118
1	148	117
2	952	115
0	8650	114
0	9	47
0	16	47
1	69	47
2	624	43
3	7596	43
0	8354	43
0	326	1867
1	945	1757
2	2593	1706
3	7233	1702
0	8516	1644

Stop Event

1×	done
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

Compiler

Compiled 126 to 88 computations (30.2% saved)

preprocess126.0ms (1.4%)

Memory: -34.2MiB live, 88.3MiB allocated
Compiler: Compiled 138 to 86 computations (37.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	29	171
0	55	171
1	101	168
2	173	168
3	257	168
4	277	168
5	290	168
6	299	168
0	299	165

Iter	Nodes	Cost
0	29	171
0	55	171
1	101	168
2	173	168
3	257	168
4	277	168
5	290	168
6	299	168
0	299	165

analyze3.0ms (0%)

sample990.0ms (10.9%)

preprocess682.0ms (7.5%)

explain240.0ms (2.6%)

eval0.0ms (0%)

prune34.0ms (0.4%)

simplify752.0ms (8.3%)

localize34.0ms (0.4%)

series6.0ms (0.1%)

rewrite331.0ms (3.7%)

simplify461.0ms (5.1%)

eval61.0ms (0.7%)

prune62.0ms (0.7%)

simplify479.0ms (5.3%)

localize145.0ms (1.6%)

series65.0ms (0.7%)

rewrite402.0ms (4.4%)

simplify438.0ms (4.8%)

eval166.0ms (1.8%)

prune139.0ms (1.5%)

simplify15.0ms (0.2%)

localize117.0ms (1.3%)

series95.0ms (1%)

rewrite464.0ms (5.1%)

simplify563.0ms (6.2%)

eval139.0ms (1.5%)

prune115.0ms (1.3%)

simplify14.0ms (0.2%)

localize41.0ms (0.5%)

series11.0ms (0.1%)

rewrite462.0ms (5.1%)

simplify326.0ms (3.6%)

eval62.0ms (0.7%)

prune97.0ms (1.1%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

simplify7.0ms (0.1%)

soundness843.0ms (9.3%)

preprocess126.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	171
0	55	171
1	101	168
2	173	168
3	257	168
4	277	168
5	290	168
6	299	168
0	299	165