Metrics for Rust f64::acosh

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample460.0ms (5.7%)

Memory

-0.1MiB live, 1 085.4MiB allocated

Samples

327.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-acosh: 124.0ms (79.3% of total)

ival->=: 23.0ms (14.7% of total)

exact: 6.0ms (3.8% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess1.2s (15.3%)

Memory

-12.1MiB live, 628.2MiB allocated

Algorithm

2×	egg-herbie

Rules

29 894×	`accelerator-lowering-fma.f32`
29 894×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
0	7	9
1	16	9
2	20	9
3	35	9
4	66	9
5	127	9
6	287	9
7	567	9
8	2049	9
9	3153	9
10	4418	9
11	5102	9
12	5404	9
13	5589	9
14	5691	9
15	6010	9
16	6556	9
17	7667	9
0	8087	8

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

Outputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

explain155.0ms (1.9%)

Memory

-6.0MiB live, 151.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(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	119	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	119
↳	`(*.f64 x x)`	overflow	119

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

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

ival-add: 22.0ms (53.8% of total)

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

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

ival-sqrt: 4.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify673.0ms (8.3%)

Memory

5.4MiB live, 839.7MiB 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×	`accelerator-lowering-fma.f32`
29 894×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	16	33
2	20	33
3	35	33
4	66	33
5	127	33
6	287	33
7	567	33
8	2049	33
9	3153	33
10	4418	33
11	5102	33
12	5404	33
13	5589	33
14	5691	33
15	6010	33
16	6556	33
17	7667	33
0	8087	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

10.2MiB live, 48.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	56.7%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (31.3% of total)

ival-mult: 2.0ms (20.9% of total)

ival-sqrt: 2.0ms (20.9% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% 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

9.7MiB live, 9.7MiB allocated

Counts

5 → 60

Calls

Call 1

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

rewrite574.0ms (7.1%)

Memory

-17.8MiB live, 517.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`accelerator-lowering-fma.f32`
4 994×	`accelerator-lowering-fma.f64`
3 230×	`-lowering-.f32`
3 230×	`-lowering-.f64`
2 612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
1	44	31
2	317	31
3	3621	31
0	8641	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 328

Calls

Call 1

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

simplify387.0ms (4.8%)

Memory

-8.3MiB live, 623.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 204×	`accelerator-lowering-fma.f32`
10 204×	`accelerator-lowering-fma.f64`
3 650×	`-lowering-.f32`
3 650×	`-lowering-.f64`
2 854×	`+-lowering-+.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 → 60

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)

eval51.0ms (0.6%)

Memory: 29.0MiB live, 104.8MiB allocated
Compiler: Compiled 10 792 to 1 570 computations (85.5% saved)

prune49.0ms (0.6%)

Memory

-14.7MiB live, 119.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	384	4	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	4	389

Accuracy

100.0%

Counts

389 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.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))))))
▶	99.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
▶	55.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶	98.9%	(log.f64 (+.f64 x x))

Compiler

Compiled 60 to 26 computations (56.7% saved)

simplify312.0ms (3.9%)

Memory

-1.8MiB live, 547.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

12 712×	`accelerator-lowering-fma.f32`
12 712×	`accelerator-lowering-fma.f64`
2 588×	`-lowering-.f32`
2 588×	`-lowering-.f64`
2 470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	216
1	39	204
2	65	204
3	119	204
4	259	204
5	688	204
6	1911	204
7	3720	204
8	6143	204
9	7401	204
0	8073	179

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize157.0ms (1.9%)

Memory

-12.5MiB live, 344.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	56.7%	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	56.5%	(/.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))))
✓	accuracy	55.0%	(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
✓	accuracy	7.1%	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
✓	accuracy	56.7%	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))

Samples

64.0ms	104×	2	valid
49.0ms	144×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 187 to 25 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-log: 25.0ms (27.9% of total)

adjust: 19.0ms (21.2% of total)

ival-add: 16.0ms (17.9% of total)

ival-mult: 11.0ms (12.3% of total)

ival-sqrt: 9.0ms (10% of total)

ival-div: 5.0ms (5.6% of total)

ival-sub: 3.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series72.0ms (0.9%)

Memory

32.6MiB live, 188.4MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (log (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 (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt -1>
#<alt (- (* -1 (* x (sqrt -1))) 1)>
#<alt (- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)>
#<alt (- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1) (log (* -1 (sqrt -1))))>
#<alt (+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))))>
#<alt (+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (/ 1 (sqrt -1))))))))>
#<alt (+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (+ (* 1/6 (+ (* -6 (/ (* (+ 1 (* -1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1))))) (pow (sqrt -1) 2))) (+ (* -6 (/ (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (* 2 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3) (pow (sqrt -1) 3)))))) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))))) (/ 1 (sqrt -1))))))))>
#<alt (+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))>
#<alt (- (+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))>
#<alt (+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))>
#<alt (+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))>
#<alt (+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* x (sqrt -1)))>
#<alt (+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))>
#<alt (+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 3) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (* -1 (sqrt -1))>
#<alt (- x (sqrt -1))>
#<alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)>
#<alt (/ (+ 2 (+ (* -1 (/ (+ 1/8 (* 5/16 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ 1/6 (pow x 3))>
#<alt (/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))>

Calls

42 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(log (+ x x))
21.0ms	x	@	-inf	(log (+ x x))
9.0ms	x	@	inf	(log (+ x x))
2.0ms	x	@	0	(+ (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (log (/ (+ x (sqrt (+ (* x x) -1))) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)))))
1.0ms	x	@	0	(sqrt (+ (* x x) -1))

rewrite867.0ms (10.7%)

Memory

-227.4MiB live, 1 095.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 452×	`accelerator-lowering-fma.f32`
11 452×	`accelerator-lowering-fma.f64`
4 838×	`/-lowering-/.f32`
4 838×	`/-lowering-/.f64`
3 462×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	120
1	137	114
2	1537	114
0	8138	101

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 324

Calls

Call 1

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

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

simplify448.0ms (5.6%)

Memory

5.5MiB live, 756.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 788×	`accelerator-lowering-fma.f32`
9 788×	`accelerator-lowering-fma.f64`
5 172×	`+-lowering-+.f64`
5 172×	`+-lowering-+.f32`
5 018×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	2197
1	1342	1924
2	4507	1890
0	8647	1806

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(log (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))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(+ (log -1) (log (* -1 (sqrt -1))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (/ 1 (sqrt -1))))))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (+ (* 1/6 (+ (* -6 (/ (* (+ 1 (* -1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1))))) (pow (sqrt -1) 2))) (+ (* -6 (/ (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (* 2 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3) (pow (sqrt -1) 3)))))) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))))) (/ 1 (sqrt -1))))))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(* -1 (sqrt -1))
(- x (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))))))) (sqrt -1))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))
(+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(/ 2 x)
(/ (+ 2 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)
(/ (+ 2 (+ (* -1 (/ (+ 1/8 (* 5/16 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) x)
(/ 1/6 (pow x 3))
(/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))

Outputs
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 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 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (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) (fma.f64 #s(literal 3/40 binary64) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #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 (+.f64 (log.f64 #s(literal 2 binary64)) (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 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/96 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ (log -1/2) (log (/ -1 x)))
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(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal -1/6 binary64)) (log.f64 #s(literal 3 binary64))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (log.f64 #s(literal -1/6 binary64)) (log.f64 #s(literal 3 binary64))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
(+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1/6 binary64)) (log.f64 #s(literal 3 binary64))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* x (sqrt -1)))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(fma.f64 x (fma.f64 x #s(literal -3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 12 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64)))))) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(* -2 (log (/ 1 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 3 binary64)))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(- x (sqrt -1))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(-.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(-.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64)))
(/ 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)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))) x)
(* 2 x)
(+.f64 x x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f64 x (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -2 binary64)))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))
(-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 x x))
(+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 #s(literal -7/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(/ (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(/ (+ 2 (+ (* -1 (/ (+ 1/8 (* 5/16 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) x)
(/ 1/6 (pow x 3))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 13/144 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 13/144 binary64) (/.f64 #s(literal 77/1152 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (.f64 x (*.f64 x x)))

eval429.0ms (5.3%)

Memory: 63.1MiB live, 598.2MiB allocated
Compiler: Compiled 87 092 to 5 755 computations (93.4% saved)

prune271.0ms (3.4%)

Memory

-41.0MiB live, 501.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	2 165	1	2 166
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	2 166	4	2 170

Accuracy

100.0%

Counts

2 170 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
▶	26.7%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))))) x))
✓	55.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.9%	(log.f64 (+.f64 x x))

Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify336.0ms (4.2%)

Memory

13.7MiB live, 519.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

15 242×	`accelerator-lowering-fma.f32`
15 242×	`accelerator-lowering-fma.f64`
3 204×	`+-lowering-+.f64`
3 204×	`+-lowering-+.f32`
2 260×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	26	94
2	34	88
3	44	88
4	76	88
5	166	88
6	550	88
7	1900	88
8	5261	88
0	8667	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize54.0ms (0.7%)

Memory

7.2MiB live, 116.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))))
✓	accuracy	74.1%	(sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	accuracy	56.7%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	56.5%	(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))))

Samples

35.0ms

256×

valid

Compiler

Compiled 110 to 16 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36.6% of total)

ival-add: 4.0ms (18.3% of total)

ival-div: 3.0ms (13.7% of total)

ival-log: 3.0ms (13.7% of total)

ival-sqrt: 3.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite604.0ms (7.5%)

Memory

-19.8MiB live, 629.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 910×	`accelerator-lowering-fma.f32`
7 910×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
3 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	82	43
2	595	42
3	7340	42
0	8477	37

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 357

Calls

Call 1

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

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

simplify304.0ms (3.8%)

Memory

11.3MiB live, 611.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 194×	`accelerator-lowering-fma.f32`
10 194×	`accelerator-lowering-fma.f64`
5 012×	`-lowering-.f32`
5 012×	`-lowering-.f64`
2 502×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1018
1	691	948
2	2040	941
3	6189	893
0	8241	848

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval189.0ms (2.3%)

Memory: -8.0MiB live, 101.8MiB allocated
Compiler: Compiled 12 403 to 1 886 computations (84.8% saved)

prune66.0ms (0.8%)

Memory

16.9MiB live, 127.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	429	0	429
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	429	4	433

Accuracy

100.0%

Counts

433 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	26.7%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))))) x))
✓	55.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.9%	(log.f64 (+.f64 x x))

Compiler

Compiled 129 to 63 computations (51.2% saved)

regimes8.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-26.6MiB live, 12.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

3 calls:

2.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	x
1.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.9%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness193.0ms (2.4%)

Memory

-21.3MiB live, 140.2MiB allocated

Rules

10 204×	`accelerator-lowering-fma.f32`
10 204×	`accelerator-lowering-fma.f64`
3 650×	`-lowering-.f32`
3 650×	`-lowering-.f64`
2 854×	`+-lowering-+.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 25 to 17 computations (32% saved)

preprocess103.0ms (1.3%)

Memory: -30.0MiB live, 128.3MiB allocated
Compiler: Compiled 70 to 48 computations (31.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample460.0ms (5.7%)

preprocess1.2s (15.3%)

explain155.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify673.0ms (8.3%)

localize56.0ms (0.7%)

series5.0ms (0.1%)

rewrite574.0ms (7.1%)

simplify387.0ms (4.8%)

eval51.0ms (0.6%)

prune49.0ms (0.6%)

simplify312.0ms (3.9%)

localize157.0ms (1.9%)

series72.0ms (0.9%)

rewrite867.0ms (10.7%)

simplify448.0ms (5.6%)

eval429.0ms (5.3%)

prune271.0ms (3.4%)

simplify336.0ms (4.2%)

localize54.0ms (0.7%)

series4.0ms (0.1%)

rewrite604.0ms (7.5%)

simplify304.0ms (3.8%)

eval189.0ms (2.3%)

prune66.0ms (0.8%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

simplify7.0ms (0.1%)

soundness193.0ms (2.4%)

preprocess103.0ms (1.3%)

end0.0ms (0%)

Profiling