Metrics for Rust f64::acosh

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample736.0ms (9.3%)

Memory

-11.6MiB live, 900.6MiB allocated

Samples

526.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-acosh: 148.0ms (78.5% of total)

ival->=: 30.0ms (15.9% of total)

exact: 7.0ms (3.7% of total)

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

Bogosity

preprocess640.0ms (8.1%)

Memory

27.4MiB live, 888.5MiB allocated

Algorithm

1×	egg-herbie

Rules

29 894×	`lower-fma.f64`
29 894×	`lower-fma.f32`
4 210×	`lower-*.f32`
4 208×	`lower-*.f64`
2 884×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8

Stop Event

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

Calls

Call 1

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

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

explain114.0ms (1.4%)

Memory

-23.4MiB live, 248.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	127	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	127
↳	`(*.f64 x x)`	overflow	127

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 17.0ms (54.9% of total)

ival-mult: 4.0ms (12.9% of total)

ival-sqrt: 4.0ms (12.9% of total)

ival-sub: 2.0ms (6.5% of total)

ival-add: 2.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify851.0ms (10.8%)

Memory

-3.2MiB live, 794.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

29 894×	`lower-fma.f64`
29 894×	`lower-fma.f32`
4 210×	`lower-*.f32`
4 208×	`lower-*.f64`
2 884×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	21	33
2	25	33
3	40	33
4	71	33
5	132	33
6	292	33
7	572	33
8	2045	33
9	3155	33
10	4433	33
11	5106	33
12	5408	33
13	5593	33
14	5695	33
15	6014	33
16	6560	33
17	7671	33
0	8091	29

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

7.5MiB live, 47.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	53.8%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sqrt: 7.0ms (46.1% of total)

ival-log: 3.0ms (19.8% of total)

ival-mult: 2.0ms (13.2% of total)

ival-sub: 1.0ms (6.6% of total)

ival-add: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify702.0ms (8.9%)

Memory

-34.2MiB live, 365.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	595
1	411	569
2	1143	562
3	3327	524
4	7966	524
0	8526	495

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

rewrite610.0ms (7.8%)

Memory

27.7MiB live, 377.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`lower-fma.f64`
4 994×	`lower-fma.f32`
3 230×	`lower-*.f32`
3 228×	`lower-*.f64`
2 612×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	49	31
2	322	31
3	3626	31
0	8646	27

Stop Event

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

Counts

5 → 328

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) x))
(+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x x) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.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 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (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 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (fma.f64 x (/.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))) (-.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (fma.f64 x (.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))) (-.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))

eval130.0ms (1.7%)

Memory: -13.4MiB live, 101.1MiB allocated
Compiler: Compiled 10 847 to 1 567 computations (85.6% saved)

prune124.0ms (1.6%)

Memory

-0.9MiB live, 118.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	383	4	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	4	388

Accuracy

100.0%

Counts

388 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶	51.9%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
▶	100.0%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶	99.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify636.0ms (8.1%)

Memory

-3.3MiB live, 1 127.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

34 672×	`lower-fma.f32`
34 670×	`lower-fma.f64`
4 728×	`lower-*.f32`
4 724×	`lower-*.f64`
2 486×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	161
0	43	148
1	68	136
2	98	136
3	176	136
4	511	136
5	1543	136
6	2821	136
7	4484	136
8	5787	136
9	6577	136
10	7007	136
11	7114	136
12	7194	136
13	7244	136
0	8241	136

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1%)

Memory

23.5MiB live, 228.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
✓	accuracy	100.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	accuracy	53.8%	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	53.8%	(sqrt.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	100.0%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓	accuracy	100.0%	#s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
✓	accuracy	99.5%	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 141 to 25 computations (82.3% saved)

Precisions

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

ival-log: 9.0ms (29.6% of total)

ival-add: 8.0ms (26.3% of total)

ival-mult: 5.0ms (16.4% of total)

ival-sqrt: 5.0ms (16.4% of total)

ival-div: 2.0ms (6.6% of total)

ival-sub: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

series9.0ms (0.1%)

Memory

-22.1MiB live, 17.2MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ x (/ -1/2 x))
0.0ms	x	@	0	(* x 2)
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	-inf	(+ x (/ -1/2 x))
0.0ms	x	@	inf	(* x 2)

simplify357.0ms (4.5%)

Memory

26.9MiB live, 659.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 394×	`lower-fma.f64`
10 394×	`lower-fma.f32`
4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
3 084×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2139
1	434	2043
2	1209	2004
3	3547	1841
0	8503	1751

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 187

Calls

Call 1

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

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

rewrite419.0ms (5.3%)

Memory

-6.4MiB live, 658.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 898×	`lower-fma.f32`
5 896×	`lower-fma.f64`
4 448×	`lower-/.f32`
4 446×	`lower-/.f64`
3 846×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	147
0	43	134
1	176	122
2	1378	122
0	8372	122

Stop Event

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

Counts

16 → 957

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (*.f64 x x)))))
(+.f64 (log.f64 (.f64 (+.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (*.f64 x x))))
(-.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))))))
(-.f64 (log.f64 (.f64 (+.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) (log.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x))))) (log.f64 (neg.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (.f64 (+.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))))) (log.f64 (neg.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x x))) (log.f64 (-.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) (fma.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (.f64 x x))) (log.f64 (fma.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (.f64 x x))) (.f64 (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (+.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 (+.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) (log.f64 (.f64 (+.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) (fma.f64 (log.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (log.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (.f64 (log.f64 (.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) (log.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (/.f64 (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)) (/.f64 (.f64 x x) (-.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (.f64 x x) (.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))) (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (-.f64 (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (.f64 #s(approx (sqrt (- ( x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) x) (*.f64 x x)))
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eval154.0ms (2%)

Memory: 28.7MiB live, 293.7MiB allocated
Compiler: Compiled 37 402 to 3 586 computations (90.4% saved)

prune124.0ms (1.6%)

Memory

4.0MiB live, 241.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 143	1	1 144
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 144	4	1 148

Accuracy

100.0%

Counts

1 148 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶	51.9%	(log.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) x))
✓	100.0%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓	99.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify617.0ms (7.8%)

Memory

-11.4MiB live, 692.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) x)
✓	cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) x))
✓	cost-diff	384	(+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)

Rules

20 822×	`lower-fma.f32`
20 820×	`lower-fma.f64`
4 842×	`lower-+.f32`
4 836×	`lower-+.f64`
4 532×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	15	51
1	27	47
2	50	47
3	96	47
4	172	39
5	292	39
6	986	39
7	2150	39
8	2856	39
9	3086	39
10	3151	39
11	3176	39
12	3177	39
13	3475	39
14	3696	39
15	3726	39
16	3736	39
17	3746	39
18	3746	39
19	3746	39
20	6923	39
21	7233	39
0	8600	35

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

-18.5MiB live, 59.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) x))
✓	accuracy	100.0%	(+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
✓	accuracy	53.8%	(sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))

Samples

19.0ms

256×

valid

Compiler

Compiled 58 to 11 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (42.4% of total)

ival-log: 3.0ms (25.5% of total)

ival-mult: 2.0ms (17% of total)

ival-sqrt: 2.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify438.0ms (5.6%)

Memory

8.9MiB live, 508.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 054×	`lower-fma.f64`
10 054×	`lower-fma.f32`
4 116×	`lower-*.f64`
4 116×	`lower-*.f32`
3 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	589
1	426	563
2	1190	547
3	3451	515
0	8329	486

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

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

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

rewrite358.0ms (4.5%)

Memory

31.5MiB live, 671.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 732×	`lower-fma.f32`
5 730×	`lower-fma.f64`
5 104×	`lower-*.f64`
5 104×	`lower-*.f32`
4 282×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	15	43
1	71	39
2	602	31
0	8451	27

Stop Event

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

Counts

5 → 409

Calls

Call 1

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

Outputs
(+.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) x))
(+.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) x))
(+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(+.f64 (-.f64 (*.f64 x x) x) (+.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (*.f64 x x) (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(+.f64 (neg.f64 x) (fma.f64 x x (+.f64 x #s(literal -1 binary64))))
(+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x x x))
(+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(+.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))))
(+.f64 (fma.f64 x x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) x))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (+.f64 x (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 x))
(+.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (neg.f64 x))
(+.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(fabs.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (*.f64 x x) x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x))) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (+.f64 x (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (*.f64 x x) x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x x (+.f64 x #s(literal -1 binary64))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x x (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x) (+.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (+.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (.f64 x x) x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (.f64 x x) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x) (+.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 x x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(fma.f64 (neg.f64 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))))
(fma.f64 (fma.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))) x)
(fma.f64 (fma.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) x)
(fma.f64 (fma.f64 x (neg.f64 x) x) #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (-.f64 (.f64 x x) x))
(fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (-.f64 (*.f64 x x) x))
(fma.f64 (neg.f64 (fma.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x)))) x)
(fma.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x x) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (neg.f64 x) x) #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x x))))) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 (.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x))) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 x) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(fma.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 (fma.f64 x x (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)) x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (-.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)) x)) (-.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))

eval339.0ms (4.3%)

Memory: -40.2MiB live, 128.3MiB allocated
Compiler: Compiled 13 689 to 2 349 computations (82.8% saved)

prune103.0ms (1.3%)

Memory

4.5MiB live, 120.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	466	0	466
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	466	4	470

Accuracy

100.0%

Counts

470 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	51.9%	(log.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) x))
✓	100.0%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (+.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓	99.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 95 to 55 computations (42.1% saved)

regimes8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

-24.1MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness201.0ms (2.6%)

Memory

4.6MiB live, 162.8MiB allocated

Rules

10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	595
1	411	569
2	1143	562
3	3327	524
4	7966	524
0	8526	495

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 29 to 19 computations (34.5% saved)

preprocess48.0ms (0.6%)

Memory: 4.0MiB live, 125.5MiB allocated
Compiler: Compiled 76 to 50 computations (34.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample736.0ms (9.3%)

preprocess640.0ms (8.1%)

explain114.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify851.0ms (10.8%)

localize31.0ms (0.4%)

series5.0ms (0.1%)

simplify702.0ms (8.9%)

rewrite610.0ms (7.8%)

eval130.0ms (1.7%)

prune124.0ms (1.6%)

simplify636.0ms (8.1%)

localize77.0ms (1%)

series9.0ms (0.1%)

simplify357.0ms (4.5%)

rewrite419.0ms (5.3%)

eval154.0ms (2%)

prune124.0ms (1.6%)

simplify617.0ms (7.8%)

localize32.0ms (0.4%)

series1.0ms (0%)

simplify438.0ms (5.6%)

rewrite358.0ms (4.5%)

eval339.0ms (4.3%)

prune103.0ms (1.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.1%)

soundness201.0ms (2.6%)

preprocess48.0ms (0.6%)

end0.0ms (0%)

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