Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

-33.2MiB live, 4.6MiB 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)

sample876.0ms (11.1%)

Memory

58.4MiB live, 985.4MiB allocated

Samples

613.0ms	8 256×	0	valid
1.0ms	22×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-div: 130.0ms (29.9% of total)

ival-log: 103.0ms (23.7% of total)

ival-sqrt: 59.0ms (13.6% of total)

ival-mult: 48.0ms (11.1% of total)

ival-sub: 44.0ms (10.1% of total)

ival-add: 37.0ms (8.5% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain405.0ms (5.1%)

Memory

-331.5MiB live, 202.5MiB 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

43.0ms

512×

valid

Compiler

Compiled 122 to 31 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 7.0ms (27.2% of total)

ival-log: 6.0ms (23.3% of total)

ival-sqrt: 4.0ms (15.5% of total)

ival-mult: 3.0ms (11.6% of total)

ival-sub: 3.0ms (11.6% of total)

ival-add: 2.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess670.0ms (8.5%)

Memory

8.9MiB live, 472.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 14 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify468.0ms (5.9%)

Memory

-30.5MiB live, 388.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 14 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.1%)

Memory

13.2MiB live, 48.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.00390625	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Samples

79.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

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

ival-div: 4.0ms (31.1% of total)

ival-log: 3.0ms (23.3% of total)

ival-mult: 2.0ms (15.5% of total)

ival-sqrt: 2.0ms (15.5% of total)

ival-add: 1.0ms (7.8% of total)

ival-sub: 1.0ms (7.8% 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

10.7MiB live, 10.7MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify375.0ms (4.8%)

Memory

-23.5MiB live, 418.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 138×	`lower-fma.f64`
17 138×	`lower-fma.f32`
3 282×	`lower-*.f64`
3 282×	`lower-*.f32`
2 100×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	803
1	409	778
2	1098	758
3	3208	745
4	7995	745
0	8477	716

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite231.0ms (2.9%)

Memory

43.8MiB live, 306.0MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	16	45
1	69	45
2	624	41
3	7596	41
0	8354	41

Stop Event

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

Counts

6 → 334

Calls

Call 1

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

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

eval79.0ms (1%)

Memory: -27.4MiB live, 96.6MiB allocated
Compiler: Compiled 10 549 to 1 326 computations (87.4% saved)

prune92.0ms (1.2%)

Memory

-39.8MiB live, 116.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	401	5	406
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	402	5	407

Accuracy

100.0%

Counts

407 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.7%	(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (.f64 x x)))
▶	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
▶	99.4%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Compiler

Compiled 98 to 62 computations (36.7% saved)

simplify202.0ms (2.6%)

Memory

29.1MiB live, 304.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

8 910×	`lower-fma.f32`
8 906×	`lower-fma.f64`
1 946×	`lower-+.f32`
1 944×	`lower-+.f64`
1 754×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	232
0	50	226
1	67	226
2	75	226
3	89	226
4	122	226
5	159	214
6	335	214
7	969	214
8	2552	214
9	4367	214
10	7595	214
0	8565	214

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.1%)

Memory

-2.3MiB live, 193.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0	(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (.f64 x x)))
accuracy	0	(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
accuracy	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
accuracy	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(sqrt.f64 #s(literal -1 binary64))
accuracy	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
accuracy	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy	0	(*.f64 x x)
accuracy	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))

Samples

59.0ms

256×

invalid

Compiler

Compiled 207 to 27 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 12.0ms (29.5% of total)

ival-log: 11.0ms (27% of total)

ival-add: 6.0ms (14.7% of total)

ival-mult: 6.0ms (14.7% of total)

ival-sqrt: 3.0ms (7.4% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

20 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify565.0ms (7.2%)

Memory

-4.8MiB live, 434.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 588×	`lower-fma.f64`
16 588×	`lower-fma.f32`
3 644×	`lower-*.f64`
3 644×	`lower-*.f32`
3 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	2604
1	562	2492
2	1566	2411
3	4598	2401
0	8124	2292

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

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

rewrite444.0ms (5.6%)

Memory

-34.7MiB live, 290.0MiB allocated

Rules

4 774×	`lower-/.f32`
4 766×	`lower-/.f64`
3 624×	`lower-*.f32`
3 620×	`lower-*.f64`
3 530×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	208
0	50	202
1	173	190
2	1315	190
0	8348	188

Stop Event

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

Counts

20 → 973

Calls

Call 1

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

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

eval382.0ms (4.9%)

Memory: 22.1MiB live, 204.7MiB allocated
Compiler: Compiled 32 027 to 2 868 computations (91% saved)

prune115.0ms (1.5%)

Memory

24.2MiB live, 257.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 350	3	1 353
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 352	6	1 358

Accuracy

100.0%

Counts

1 358 → 6

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))
▶	60.1%	(log.f64 (/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
✓	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
✓	99.4%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	58.8%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 59 to 37 computations (37.3% saved)

simplify224.0ms (2.9%)

Memory

-31.1MiB live, 298.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
cost-diff	0	(log.f64 (/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
cost-diff	448	(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))))

Rules

9 046×	`lower-fma.f64`
9 046×	`lower-fma.f32`
3 204×	`lower-*.f32`
3 196×	`lower-*.f64`
2 140×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	241
0	41	241
1	67	241
2	84	241
3	100	233
4	129	233
5	170	233
6	332	233
7	793	233
8	1819	233
9	4000	233
10	7750	233
0	8183	220

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1%)

Memory

34.2MiB live, 188.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(log.f64 (/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
accuracy	0.4477641168552777	#s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (*.f64 #s(literal 2 binary64) x))
accuracy	24.489323507130536	(/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
accuracy	0.00390625	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
accuracy	0.1328125	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.19574260612712008	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
accuracy	25.252242582317805	(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	0.00390625	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))))
accuracy	0.19574260612712008	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64))))
accuracy	62.99851182102515	#s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))

Samples

54.0ms

256×

valid

Compiler

Compiled 149 to 25 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 12.0ms (29.5% of total)

ival-log: 11.0ms (27% of total)

ival-div: 9.0ms (22.1% of total)

ival-add: 5.0ms (12.3% of total)

ival-sqrt: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

-29.9MiB live, 16.3MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

simplify334.0ms (4.2%)

Memory

31.4MiB live, 466.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 274×	`lower-fma.f64`
12 274×	`lower-fma.f32`
3 856×	`lower-*.f64`
3 856×	`lower-*.f32`
2 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1624
1	398	1574
2	1062	1541
3	3012	1496
0	8287	1421

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

rewrite271.0ms (3.4%)

Memory

8.9MiB live, 471.6MiB allocated

Rules

5 118×	`lower-/.f32`
5 114×	`lower-/.f64`
4 136×	`lower-fma.f64`
4 136×	`lower-fma.f32`
3 896×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	221
0	41	221
1	169	221
2	1317	213
0	8593	200

Stop Event

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

Counts

13 → 152

Calls

Call 1

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

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

eval72.0ms (0.9%)

Memory: -19.0MiB live, 87.6MiB allocated
Compiler: Compiled 4 766 to 606 computations (87.3% saved)

prune81.0ms (1%)

Memory

-7.9MiB live, 70.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	0	0	0
Picked	0	3	3
Done	1	2	3
Total	308	6	314

Accuracy

100.0%

Counts

314 → 6

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))
✓	60.1%	(log.f64 (/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
✓	99.4%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))))
✓	58.8%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 58 to 36 computations (37.9% saved)

simplify282.0ms (3.6%)

Memory

14.8MiB live, 215.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

9 478×	`lower-fma.f32`
9 476×	`lower-fma.f64`
2 622×	`lower-*.f64`
2 622×	`lower-*.f32`
2 436×	`lower-/.f32`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	19	87
0	22	90
1	35	90
2	43	90
3	51	90
4	66	90
5	86	90
6	129	90
7	335	90
8	623	90
9	1258	90
10	2333	90
11	3421	90
12	4515	78
13	6088	78
0	8162	78

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.7%)

Memory

-14.9MiB live, 99.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	#s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy	0.00390625	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))))
accuracy	0.19574260612712008	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x))))

Samples

41.0ms

256×

valid

Compiler

Compiled 49 to 19 computations (61.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 9.0ms (37.2% of total)

ival-mult: 5.0ms (20.7% of total)

ival-add: 3.0ms (12.4% of total)

ival-log: 3.0ms (12.4% of total)

ival-sqrt: 2.0ms (8.3% of total)

ival-sub: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))))>
#<alt #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x))))>
#<alt #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))>
#<alt (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) 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 (/ 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 (/ 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 (/ 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 (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<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 (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 (* -1/2 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 (* 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 (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))>
#<alt (* -1 (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 (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 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)>

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify186.0ms (2.4%)

Memory

-16.5MiB live, 269.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 956×	`lower-fma.f64`
8 956×	`lower-fma.f32`
3 258×	`lower-*.f64`
3 258×	`lower-*.f32`
1 682×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	563
1	333	548
2	857	540
3	2364	539
4	5934	515
0	8103	485

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))))
(/ 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)
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(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)))))
(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)))))
(* -1/2 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)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (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)))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1/2 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)

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

rewrite232.0ms (2.9%)

Memory

0.3MiB live, 241.0MiB allocated

Rules

5 718×	`lower-fma.f32`
5 716×	`lower-fma.f64`
3 844×	`lower-/.f32`
3 842×	`lower-/.f64`
3 266×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
0	22	84
1	116	84
2	1031	80
0	8803	77

Stop Event

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

Counts

5 → 68

Calls

Call 1

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

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

eval13.0ms (0.2%)

Memory: 22.7MiB live, 22.7MiB allocated
Compiler: Compiled 2 132 to 327 computations (84.7% saved)

prune25.0ms (0.3%)

Memory

-8.5MiB live, 29.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	128	6	134

Accuracy

100.0%

Counts

134 → 6

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))
✓	60.1%	(log.f64 (/.f64 #s(approx (+ (* x (sqrt (- 1 (* x x)))) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
✓	99.4%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))))
✓	58.8%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (*.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 152 to 72 computations (52.6% saved)

regimes12.0ms (0.2%)

Memory

-17.9MiB live, 20.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

5.0ms

4.0ms

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

4.0ms

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

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)

regimes9.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* x (* x -1/2)) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) 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
99.7%	1	`x`
99.7%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.7%	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)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

2.0ms

Results

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

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

1.0ms

Results

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify18.0ms (0.2%)

Memory

-24.8MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	85
1	41	85
2	48	85
3	52	85
4	54	85

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

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

soundness797.0ms (10.1%)

Memory

32.7MiB live, 462.9MiB allocated

Rules

17 138×	`lower-fma.f64`
17 138×	`lower-fma.f32`
16 588×	`lower-fma.f64`
16 588×	`lower-fma.f32`
12 274×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2604
1	562	2492
2	1566	2411
3	4598	2401
0	8124	2292
0	9	45
0	16	45
1	69	45
2	624	41
3	7596	41
0	8354	41
0	144	1624
1	398	1574
2	1062	1541
3	3012	1496
0	8287	1421
0	155	803
1	409	778
2	1098	758
3	3208	745
4	7995	745
0	8477	716

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×	iter limit
1×	node limit

Compiler

Compiled 85 to 49 computations (42.4% saved)

preprocess48.0ms (0.6%)

Memory: -21.5MiB live, 102.1MiB allocated
Compiler: Compiled 92 to 50 computations (45.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample876.0ms (11.1%)

explain405.0ms (5.1%)

preprocess670.0ms (8.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify468.0ms (5.9%)

localize88.0ms (1.1%)

series7.0ms (0.1%)

simplify375.0ms (4.8%)

rewrite231.0ms (2.9%)

eval79.0ms (1%)

prune92.0ms (1.2%)

simplify202.0ms (2.6%)

localize87.0ms (1.1%)

series9.0ms (0.1%)

simplify565.0ms (7.2%)

rewrite444.0ms (5.6%)

eval382.0ms (4.9%)

prune115.0ms (1.5%)

simplify224.0ms (2.9%)

localize76.0ms (1%)

series23.0ms (0.3%)

simplify334.0ms (4.2%)

rewrite271.0ms (3.4%)

eval72.0ms (0.9%)

prune81.0ms (1%)

simplify282.0ms (3.6%)

localize53.0ms (0.7%)

series3.0ms (0%)

simplify186.0ms (2.4%)

rewrite232.0ms (2.9%)

eval13.0ms (0.2%)

prune25.0ms (0.3%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify18.0ms (0.2%)

soundness797.0ms (10.1%)

preprocess48.0ms (0.6%)

end0.0ms (0%)

Profiling