Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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)

sample1.3s (11.9%)

Memory

-330.4MiB live, 1 106.1MiB allocated

Samples

782.0ms	8 256×	0	valid
2.0ms	21×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-div: 138.0ms (24.1% of total)

ival-add: 127.0ms (22.2% of total)

ival-sqrt: 116.0ms (20.2% of total)

ival-log: 86.0ms (15% of total)

ival-mult: 51.0ms (8.9% of total)

ival-sub: 39.0ms (6.8% of total)

ival-true: 7.0ms (1.2% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

preprocess769.0ms (7%)

Memory

43.4MiB live, 903.8MiB allocated

Algorithm

2×	egg-herbie

Rules

28 400×	`accelerator-lowering-fma.f32`
28 400×	`accelerator-lowering-fma.f64`
3 690×	`-lowering-.f32`
3 690×	`-lowering-.f64`
2 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	42	40
2	76	40
3	156	40
4	264	40
5	414	40
6	637	34
7	972	34
8	1389	34
9	1919	34
10	4338	34
11	5818	34
12	6848	34
13	7260	34
14	7628	34
15	7784	34
0	9	13
1	17	13
2	24	13
3	32	13
4	47	13
5	67	13
6	110	13
7	303	13
8	583	13
9	1162	13
10	2105	13
11	3842	13
12	4825	13
13	5182	13
14	5517	11
15	5776	11
16	5857	11
17	6068	11
18	6988	11
0	8044	11

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))

Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(log (/ (- -1 (sqrt (- 1 (* x x)))) x))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))
(neg (log (/ (- -1 (sqrt (- 1 (* x x)))) x)))

explain124.0ms (1.1%)

Memory

-9.8MiB live, 226.1MiB 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

45.0ms

512×

valid

Compiler

Compiled 136 to 40 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 12.0ms (40.3% of total)

ival-log: 5.0ms (16.8% of total)

ival-sqrt: 4.0ms (13.4% of total)

ival-mult: 3.0ms (10.1% of total)

ival-add: 2.0ms (6.7% of total)

ival-sub: 2.0ms (6.7% of total)

ival-true: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify579.0ms (5.3%)

Memory

-2.1MiB live, 664.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

27 548×	`accelerator-lowering-fma.f32`
27 548×	`accelerator-lowering-fma.f64`
3 594×	`-lowering-.f32`
3 594×	`-lowering-.f64`
2 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	45
1	16	45
2	23	45
3	31	45
4	46	45
5	66	45
6	109	45
7	301	45
8	581	45
9	1130	45
10	2055	45
11	3797	45
12	4793	45
13	5167	45
14	5534	45
15	5804	45
16	5889	45
17	6098	45
18	7018	45
0	8028	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize29.0ms (0.3%)

Memory

27.2MiB live, 65.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 47 to 10 computations (78.7% saved)

Precisions

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

ival-log: 3.0ms (27% of total)

ival-div: 2.0ms (18% of total)

ival-mult: 2.0ms (18% of total)

ival-sqrt: 2.0ms (18% of total)

ival-add: 1.0ms (9% of total)

ival-sub: 1.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-24.5MiB live, 13.1MiB allocated

Counts

5 → 60

Calls

Call 1

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

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(sqrt (- 1 (* x x)))
1.0ms	x	@	inf	(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
1.0ms	x	@	-inf	(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
1.0ms	x	@	0	(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
0.0ms	x	@	0	(* x x)

rewrite339.0ms (3.1%)

Memory

18.3MiB live, 616.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 652×	`accelerator-lowering-fma.f32`
3 652×	`accelerator-lowering-fma.f64`
2 844×	`-lowering-.f32`
2 844×	`-lowering-.f64`
2 418×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	52	38
2	401	38
3	4114	38
0	9041	33

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 332

Calls

Call 1

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

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

simplify483.0ms (4.4%)

Memory

-3.4MiB live, 818.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 210×	`accelerator-lowering-fma.f32`
15 210×	`accelerator-lowering-fma.f64`
2 904×	`-lowering-.f32`
2 904×	`-lowering-.f64`
2 474×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	736
1	466	707
2	1289	672
3	3766	664
4	7773	664
0	8386	629

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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)))))))
(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 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -3/32 binary64)))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x #s(literal -5/96 binary64)))))))))
(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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
(- (+ (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 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.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))))))
(log (* -1 (sqrt -1)))
(log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) 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 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) 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)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (.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 (.f64 x x) (*.f64 x x)))))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))))
(- (+ (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 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) 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 (/.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)))) x) (sqrt.f64 #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) (.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 (* x (sqrt -1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.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)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 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))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (sqrt -1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.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 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 x 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)))))))
(+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (*.f64 x x)))) (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)

eval64.0ms (0.6%)

Memory: -27.9MiB live, 86.8MiB allocated
Compiler: Compiled 9 038 to 1 291 computations (85.7% saved)

prune47.0ms (0.4%)

Memory

39.3MiB live, 117.2MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	5	393

Accuracy

100.0%

Counts

393 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x))
▶	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x))
▶	98.9%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	98.3%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 68 to 47 computations (30.9% saved)

simplify26.0ms (0.2%)

Memory

-27.8MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x)
✓	cost-diff	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x)
✓	cost-diff	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x))
✓	cost-diff	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
✓	cost-diff	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
✓	cost-diff	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	(log.f64 (/.f64 #s(literal 2 binary64) x))

Rules

672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
242×	`-lowering-.f32`
242×	`-lowering-.f64`
156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	255
1	71	255
2	166	255
3	313	255
4	411	255
5	426	255
6	427	255
0	427	228

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (/ 2 x))
(/ 2 x)
2
x
(log (/ (+ 2 (* x (* x -1/2))) x))
(/ (+ 2 (* x (* x -1/2))) x)
(+ 2 (* x (* x -1/2)))
2
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(log (/ (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8)))))) x))
(/ (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8)))))) x)
(+ 2 (* x (* x (+ -1/2 (* x (* x -1/8))))))
2
(* x (* x (+ -1/2 (* x (* x -1/8)))))
x
(* x (+ -1/2 (* x (* x -1/8))))
(+ -1/2 (* x (* x -1/8)))
-1/2
(* x (* x -1/8))
(* x -1/8)
-1/8
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))
2
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
(* x x)
x
(+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))
-1/2
(* (* x x) (+ -1/8 (* x (* x -1/16))))
(+ -1/8 (* x (* x -1/16)))
-1/8
(* x (* x -1/16))
(* x -1/16)
-1/16

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

localize118.0ms (1.1%)

Memory

21.9MiB live, 218.9MiB allocated

Localize:

Found 14 expressions of interest:

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

Samples

61.0ms

256×

valid

Compiler

Compiled 257 to 32 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 19.0ms (41.4% of total)

ival-log: 12.0ms (26.2% of total)

ival-div: 8.0ms (17.4% of total)

ival-add: 7.0ms (15.3% of total)

exact: 1.0ms (2.2% of total)

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

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

series74.0ms (0.7%)

Memory

-13.0MiB live, 181.4MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (log (/ 2 x))>
#<alt (/ 2 x)>
#<alt (log (/ (+ 2 (* x (* x -1/2))) x))>
#<alt (/ (+ 2 (* x (* x -1/2))) x)>
#<alt (+ 2 (* x (* x -1/2)))>
#<alt (* x (* x -1/2))>
#<alt (log (/ (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8)))))) x))>
#<alt (/ (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8)))))) x)>
#<alt (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8))))))>
#<alt (* x (* x (+ -1/2 (* x (* x -1/8)))))>
#<alt (log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x))>
#<alt (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x)>
#<alt (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))>
#<alt (* x -1/2)>
#<alt (* x (+ -1/2 (* x (* x -1/8))))>
#<alt (* x -1/8)>
#<alt (* (* x x) (+ -1/8 (* x (* x -1/16))))>
#<alt (* x -1/16)>

Outputs
#<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 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 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) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))>
#<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))))) (/ 24 (pow x 4)))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (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))))) (/ 24 (pow x 4)))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))>
#<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) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))>
#<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) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 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) (- (* -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 -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))))) (* 136/3 (/ 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))))) (* 136/3 (/ 1 (pow x 6))))>
#<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 (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))>
#<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 (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<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 (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* x (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* x (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (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 (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 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)>

Calls

57 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(log (/ 2 x))
20.0ms	x	@	-inf	(log (/ 2 x))
9.0ms	x	@	inf	(log (/ 2 x))
2.0ms	x	@	inf	(* x -1/2)
1.0ms	x	@	inf	(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x))

rewrite540.0ms (4.9%)

Memory

-1.9MiB live, 750.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 068×	`-lowering-.f32`
5 068×	`-lowering-.f64`
4 576×	`/-lowering-/.f32`
4 576×	`/-lowering-/.f64`
3 262×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	177	201
2	1482	201
0	8278	178

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 734

Calls

Call 1

Inputs
(log (/ 2 x))
(/ 2 x)
(log (/ (+ 2 (* x (* x -1/2))) x))
(/ (+ 2 (* x (* x -1/2))) x)
(+ 2 (* x (* x -1/2)))
(* x (* x -1/2))
(log (/ (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8)))))) x))
(/ (+ 2 (* x (* x (+ -1/2 (* x (* x -1/8)))))) x)
(+ 2 (* x (* x (+ -1/2 (* x (* x -1/8))))))
(* x (* x (+ -1/2 (* x (* x -1/8)))))
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
(* x -1/2)
(* x (+ -1/2 (* x (* x -1/8))))
(* x -1/8)
(* (* x x) (+ -1/8 (* x (* x -1/16))))
(* x -1/16)

Outputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (log.f64 (.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (log.f64 (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (log.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 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 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (log.f64 x))))))
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(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 x (.f64 (.f64 x #s(literal -1/16 binary64)) (.f64 x x)) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1/8 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(fma.f64 (.f64 x #s(literal -1/8 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(fma.f64 (.f64 x x) #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/16 binary64)) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal -1/16 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (.f64 x x) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/16 binary64)) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) x) x (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/16 binary64))) x (.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))))) (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64)))) (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))) (.f64 x x))))
(/.f64 (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64)))) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))) (.f64 x x)) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))))) (neg.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))) x)
(.f64 (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
(.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/16 binary64)) #s(literal -1/8 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(*.f64 x #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) x)

simplify602.0ms (5.5%)

Memory

4.0MiB live, 807.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 566×	`accelerator-lowering-fma.f32`
16 566×	`accelerator-lowering-fma.f64`
4 600×	`+-lowering-+.f64`
4 600×	`+-lowering-+.f32`
4 142×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2157
1	565	2113
2	1707	2074
3	5029	2036
0	8219	1940

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(+ (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 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(+ (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) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))
(+ (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))))) (/ 24 (pow x 4)))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (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))))) (/ 24 (pow x 4)))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(/ 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) (- (* -1/8 (pow x 2)) 1/2))) x)
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+ (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 -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))))) (* 136/3 (/ 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))))) (* 136/3 (/ 1 (pow x 6))))
(/ 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)
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
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)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -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 (- (* -1/8 (pow x 2)) 1/2))
(* x (- (* -1/8 (pow x 2)) 1/2))
(* x (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (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)
(* -1/8 (pow x 2))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 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)

Outputs
(+ (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)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (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 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -1/32 binary64))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 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 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 x) (/.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 #s(literal -1/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 x) (/.f64 #s(literal -4 binary64) (*.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 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (.f64 x x) (.f64 x x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 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)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 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 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 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 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 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 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -3/32 binary64))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x #s(literal -1/48 binary64)))))))) (log.f64 x)))
(+ (log -1/8) (* -3 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal -1/8 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(+ (log 1/8) (* -3 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal 1/8 binary64))))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(* -1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(* -1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
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(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -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))

eval140.0ms (1.3%)

Memory: 11.4MiB live, 290.7MiB allocated
Compiler: Compiled 36 358 to 3 180 computations (91.3% saved)

prune112.0ms (1%)

Memory

5.9MiB live, 204.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	960	2	962
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	961	6	967

Accuracy

100.0%

Counts

967 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))))))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x))
✓	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.3%	(log.f64 (/.f64 #s(literal 2 binary64) x))
▶	53.1%	(log.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))

Compiler

Compiled 86 to 59 computations (31.4% saved)

simplify466.0ms (4.3%)

Memory

14.9MiB live, 248.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

6 326×	`-lowering-.f32`
6 326×	`-lowering-.f64`
3 124×	`/-lowering-/.f32`
3 124×	`/-lowering-/.f64`
2 484×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	38	128
2	64	128
3	116	124
4	150	124
5	182	124
6	230	124
7	453	124
8	1120	124
9	2040	124
10	2347	124
11	2812	124
12	3473	124
13	4367	124
14	4767	124
15	4975	124
16	5148	124
17	5340	124
18	5542	124
19	6829	124
20	7366	124
21	7549	124
22	7578	124
23	7580	124
24	7580	124
25	7691	124
26	7875	124
0	8022	112

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (* x (+ -1/2 (/ 2 (* x x)))))
(* x (+ -1/2 (/ 2 (* x x))))
x
(+ -1/2 (/ 2 (* x x)))
-1/2
(/ 2 (* x x))
2
(* x x)
(neg (log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))))
(log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))
(/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))
x
(+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))
2
(* (+ -1/2 (* -1/8 (* x x))) (* x x))
(+ -1/2 (* -1/8 (* x x)))
-1/2
(* -1/8 (* x x))
-1/8
(* x x)

Outputs
(log (* x (+ -1/2 (/ 2 (* x x)))))
(log.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(* x (+ -1/2 (/ 2 (* x x))))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))
x
(+ -1/2 (/ 2 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(neg (log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))
(log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))
(log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
x
(+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
2
#s(literal 2 binary64)
(* (+ -1/2 (* -1/8 (* x x))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(+ -1/2 (* -1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
-1/2
#s(literal -1/2 binary64)
(* -1/8 (* x x))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(* x x)
(*.f64 x x)

localize84.0ms (0.8%)

Memory

-23.8MiB live, 91.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))))))
✓	accuracy	100.0%	(log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x)))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	55.9%	(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))

Samples

33.0ms

256×

valid

Compiler

Compiled 130 to 18 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 6.0ms (29.4% of total)

ival-mult: 6.0ms (29.4% of total)

ival-div: 3.0ms (14.7% of total)

ival-add: 3.0ms (14.7% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (* x (+ -1/2 (/ 2 (* x x))))>
#<alt (log (* x (+ -1/2 (/ 2 (* x x)))))>
#<alt (+ -1/2 (/ 2 (* x x)))>
#<alt (/ 2 (* x x))>
#<alt (log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))>
#<alt (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))>
#<alt (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))>
#<alt (* (+ -1/2 (* -1/8 (* x x))) (* x x))>
#<alt (* x x)>
#<alt (neg (log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))))>

Outputs
#<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 (+ (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 (pow x 2))>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 2 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 2 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 2 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<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 (* 1/48 (pow x 2))))))))>
#<alt (+ (log -8) (* 3 (log (/ 1 x))))>
#<alt (- (+ (log -8) (* 3 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))>
#<alt (+ (log 8) (* 3 (log (/ -1 x))))>
#<alt (- (+ (log 8) (* 3 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 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 (* (pow x 2) (+ 1/16 (* 3/128 (pow x 2))))))))>
#<alt (/ -8 (pow x 3))>
#<alt (/ (- (* 32 (/ 1 (pow x 2))) 8) (pow x 3))>
#<alt (/ (- (* 32 (/ 1 (pow x 2))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))>
#<alt (/ (- (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6)))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))>
#<alt (/ -8 (pow x 3))>
#<alt (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (* 32 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6))))) (pow x 3)))>
#<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) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (+ (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) (- (* -1/48 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log -8) (* 3 (log (/ 1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log -8) (* 3 (log (/ 1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))>
#<alt (- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))>
#<alt (* -1 (+ (log 8) (* 3 (log (/ -1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log 8) (* 3 (log (/ -1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))>
#<alt (- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))
0.0ms	x	@	-inf	(log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))
0.0ms	x	@	0	(log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))
0.0ms	x	@	-inf	(/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))
0.0ms	x	@	0	(* x (+ -1/2 (/ 2 (* x x))))

rewrite448.0ms (4.1%)

Memory

0.3MiB live, 732.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 742×	`accelerator-lowering-fma.f32`
5 742×	`accelerator-lowering-fma.f64`
5 188×	`-lowering-.f32`
5 188×	`-lowering-.f64`
3 742×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	100	105
2	808	101
0	8465	89

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 559

Calls

Call 1

Inputs
(* x (+ -1/2 (/ 2 (* x x))))
(log (* x (+ -1/2 (/ 2 (* x x)))))
(+ -1/2 (/ 2 (* x x)))
(/ 2 (* x x))
(log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))))
(/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))
(+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x)))
(* (+ -1/2 (* -1/8 (* x x))) (* x x))
(* x x)
(neg (log (/ x (+ 2 (* (+ -1/2 (* -1/8 (* x x))) (* x x))))))

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

simplify434.0ms (4%)

Memory

18.9MiB live, 527.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 888×	`accelerator-lowering-fma.f32`
10 888×	`accelerator-lowering-fma.f64`
3 948×	`+-lowering-+.f64`
3 948×	`+-lowering-+.f32`
3 122×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1275
1	581	1247
2	1671	1237
3	4449	1237
0	8217	1188

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ 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))))))
(+ (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 (pow x 2))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 2 (/ 1 (pow x 2))) 1/2)
(- (* 2 (/ 1 (pow x 2))) 1/2)
(- (* 2 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 2 (/ 1 (pow x 2))) 1/2)
(- (* 2 (/ 1 (pow x 2))) 1/2)
(- (* 2 (/ 1 (pow x 2))) 1/2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(+ (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 (* 1/48 (pow x 2))))))))
(+ (log -8) (* 3 (log (/ 1 x))))
(- (+ (log -8) (* 3 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))
(+ (log 8) (* 3 (log (/ -1 x))))
(- (+ (log 8) (* 3 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 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 (* (pow x 2) (+ 1/16 (* 3/128 (pow x 2))))))))
(/ -8 (pow x 3))
(/ (- (* 32 (/ 1 (pow x 2))) 8) (pow x 3))
(/ (- (* 32 (/ 1 (pow x 2))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6)))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))
(/ -8 (pow x 3))
(* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (* 32 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6))))) (pow x 3)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (+ (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) (- (* -1/48 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (+ (log -8) (* 3 (log (/ 1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (* 3 (log (/ 1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(* -1 (+ (log 8) (* 3 (log (/ -1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (* 3 (log (/ -1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) 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))))
(+ (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 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/32 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 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x #s(literal -1/192 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 #s(literal -1/2 binary64)) (+.f64 (log.f64 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 (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 (log.f64 x) (+.f64 (+.f64 (/.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.f64 #s(literal -1/2 binary64))))
(+ (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 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 #s(literal 1/2 binary64)) (+.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 #s(literal -4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 2 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (* 2 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (* 2 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 2 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (* 2 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (* 2 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 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) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 3/32 binary64)))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 1/48 (pow x 2))))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))))))
(+ (log -8) (* 3 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64)))
(- (+ (log -8) (* 3 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal -8 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (log.f64 #s(literal -8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -256/3 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+ (log 8) (* 3 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(- (+ (log 8) (* 3 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (+.f64 (log.f64 #s(literal 8 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (+.f64 (log.f64 #s(literal 8 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (+.f64 (log.f64 #s(literal 8 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -256/3 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 3/128 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 x #s(literal 3/128 binary64)))))))))
(/ -8 (pow x 3))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))
(/ (- (* 32 (/ 1 (pow x 2))) 8) (pow x 3))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 32 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (- (* 32 (/ 1 (pow x 2))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal -8 binary64) (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (/.f64 #s(literal -256 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6)))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 32 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1536 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -256 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ -8 (pow x 3))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 32 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (* 32 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -8 binary64) (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (/.f64 #s(literal -256 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6))))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 32 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1536 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -256 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(* -1/8 (pow x 4))
(.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(* -1/8 (pow x 4))
(.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* -1/8 (pow x 4))
(.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1/8 (pow x 4))
(.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (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 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) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -3/32 binary64)))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x #s(literal -1/48 binary64))))))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(* -1 (+ (log -8) (* 3 (log (/ 1 x)))))
(-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal -8 binary64)))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (* 3 (log (/ 1 x)))))
(+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal -8 binary64))))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal -8 binary64))) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal -8 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (+ (log 8) (* 3 (log (/ -1 x)))))
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (log.f64 #s(literal 8 binary64)))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (* 3 (log (/ -1 x)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal 8 binary64))))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (log.f64 #s(literal 8 binary64)))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (log.f64 #s(literal 8 binary64)))))

eval183.0ms (1.7%)

Memory: -27.2MiB live, 213.8MiB allocated
Compiler: Compiled 22 831 to 2 763 computations (87.9% saved)

prune99.0ms (0.9%)

Memory

21.7MiB live, 178.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	732	1	733
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	732	7	739

Accuracy

100.0%

Counts

739 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))))))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x))
✓	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.3%	(log.f64 (/.f64 #s(literal 2 binary64) x))
▶	98.9%	(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
✓	53.1%	(log.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))

Compiler

Compiled 95 to 66 computations (30.5% saved)

simplify4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	9	24
0	9	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.3%)

Memory

-33.8MiB live, 44.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-mult: 4.0ms (36% of total)

ival-log: 3.0ms (27% of total)

ival-div: 2.0ms (18% of total)

ival-add: 1.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

12 calls:

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

rewrite209.0ms (1.9%)

Memory

30.4MiB live, 224.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 978×	`accelerator-lowering-fma.f32`
2 978×	`accelerator-lowering-fma.f64`
2 202×	`-lowering-.f32`
2 202×	`-lowering-.f64`
1 520×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	31	21
2	266	21
0	4041	19

Stop Event

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

Counts

4 → 125

Calls

Call 1

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

Outputs
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (log.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
(-.f64 (log.f64 (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (log.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (+.f64 (.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (+.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 4 binary64) x)))))))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 4 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 #s(literal 4 binary64) x)))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 4 binary64) x))))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 4 binary64) x))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 4 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(.f64 (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x))) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x))))))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x))) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))

simplify358.0ms (3.3%)

Memory

-15.4MiB live, 425.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 612×	`accelerator-lowering-fma.f32`
9 612×	`accelerator-lowering-fma.f64`
2 500×	`-lowering-.f32`
2 500×	`-lowering-.f64`
1 916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	358
1	192	338
2	474	338
3	1198	338
4	3009	326
5	5277	322
6	7721	322
0	8105	307

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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) (- (* -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 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 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)

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 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal -1/32 binary64)))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/32 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))))) (log.f64 x)))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 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 (log.f64 #s(literal -1/2 binary64)) (-.f64 (log.f64 x) (/.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 (log.f64 #s(literal -1/2 binary64)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (*.f64 x x))))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 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 0 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 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (*.f64 x x))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 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 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1/2 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))

eval20.0ms (0.2%)

Memory: -1.2MiB live, 37.4MiB allocated
Compiler: Compiled 4 014 to 506 computations (87.4% saved)

prune30.0ms (0.3%)

Memory

-2.0MiB live, 39.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	173	7	180

Accuracy

100.0%

Counts

180 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))))))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x))
✓	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.3%	(log.f64 (/.f64 #s(literal 2 binary64) x))
✓	98.9%	(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
✓	53.1%	(log.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))

Compiler

Compiled 207 to 119 computations (42.5% saved)

regimes10.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

3.0ms

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

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

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)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

-32.6MiB live, 6.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(log.f64 (/.f64 #s(literal 2 binary64) x))

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
28×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	88
1	78	88
2	86	88
3	91	88
4	93	88

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

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 (/.f64 #s(literal 2 binary64) x))

soundness3.1s (28.6%)

Memory

36.4MiB live, 3 122.2MiB allocated

Rules

28 400×	`accelerator-lowering-fma.f32`
28 400×	`accelerator-lowering-fma.f64`
16 566×	`accelerator-lowering-fma.f32`
16 566×	`accelerator-lowering-fma.f64`
15 210×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	220	2157
1	565	2113
2	1707	2074
3	5029	2036
0	8219	1940
0	168	736
1	466	707
2	1289	672
3	3766	664
4	7773	664
0	8386	629
0	16	106
1	100	105
2	808	101
0	8465	89
0	9	13
1	17	13
2	24	13
3	32	13
4	47	13
5	67	13
6	110	13
7	303	13
8	583	13
9	1162	13
10	2105	13
11	3842	13
12	4825	13
13	5182	13
14	5517	11
15	5776	11
16	5857	11
17	6068	11
18	6988	11
0	8044	11
0	30	201
1	177	201
2	1482	201
0	8278	178

Stop Event

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

Compiler

Compiled 274 to 174 computations (36.5% saved)

preprocess59.0ms (0.5%)

Memory: -12.3MiB live, 66.1MiB allocated
Compiler: Compiled 208 to 110 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

sample1.3s (11.9%)

preprocess769.0ms (7%)

explain124.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify579.0ms (5.3%)

localize29.0ms (0.3%)

series7.0ms (0.1%)

rewrite339.0ms (3.1%)

simplify483.0ms (4.4%)

eval64.0ms (0.6%)

prune47.0ms (0.4%)

simplify26.0ms (0.2%)

localize118.0ms (1.1%)

series74.0ms (0.7%)

rewrite540.0ms (4.9%)

simplify602.0ms (5.5%)

eval140.0ms (1.3%)

prune112.0ms (1%)

simplify466.0ms (4.3%)

localize84.0ms (0.8%)

series6.0ms (0.1%)

rewrite448.0ms (4.1%)

simplify434.0ms (4%)

eval183.0ms (1.7%)

prune99.0ms (0.9%)

simplify4.0ms (0%)

localize28.0ms (0.3%)

series2.0ms (0%)

rewrite209.0ms (1.9%)

simplify358.0ms (3.3%)

eval20.0ms (0.2%)

prune30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.1%)

soundness3.1s (28.6%)

preprocess59.0ms (0.5%)

end0.0ms (0%)

Profiling