Metrics for neg log

analyze6.0ms (0.1%)

Memory

-29.5MiB live, 3.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample696.0ms (7.5%)

Memory

52.2MiB live, 841.3MiB allocated

Samples

428.0ms	8 256×	0	valid
1.0ms	19×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-log: 104.0ms (36.3% of total)

ival-div: 95.0ms (33.2% of total)

ival-sub: 41.0ms (14.3% of total)

ival-neg: 34.0ms (11.9% of total)

ival-true: 5.0ms (1.7% of total)

exact: 4.0ms (1.4% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess13.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`sub-neg`
16×	`+-commutative`
12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
12×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
1	13	7
2	16	7
3	18	7
4	20	7
5	24	7
6	29	7
0	29	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(neg (log (- (/ 1 x) 1)))

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

explain77.0ms (0.8%)

Memory

-6.2MiB live, 122.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 6.0ms (37.4% of total)

ival-div: 4.0ms (25% of total)

ival-sub: 2.0ms (12.5% of total)

ival-neg: 2.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`--lowering--.f32`
8×	`sub-neg`
8×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
1	13	23
2	16	23
3	18	23
4	20	23
5	24	23
6	29	23
0	29	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (log (- (/ 1 x) 1)))
(log (- (/ 1 x) 1))
(- (/ 1 x) 1)
(/ 1 x)
1
x

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

localize27.0ms (0.3%)

Memory

-12.3MiB live, 25.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-div: 7.0ms (56.9% of total)

ival-log: 3.0ms (24.4% of total)

ival-sub: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (neg (log (- (/ 1 x) 1)))>
#<alt (log (- (/ 1 x) 1))>
#<alt (- (/ 1 x) 1)>
#<alt (/ 1 x)>

Outputs
#<alt (log x)>
#<alt (- x (* -1 (log x)))>
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))>
#<alt (* -1 (log x))>
#<alt (+ (* -1 x) (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))>
#<alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

12 calls:

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

rewrite337.0ms (3.6%)

Memory

-16.1MiB live, 399.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 528×	`accelerator-lowering-fma.f32`
3 528×	`accelerator-lowering-fma.f64`
2 728×	`/-lowering-/.f32`
2 728×	`/-lowering-/.f64`
1 996×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	34	21
2	232	21
3	2495	21
0	9266	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 345

Calls

Call 1

Inputs
(neg (log (- (/ 1 x) 1)))
(log (- (/ 1 x) 1))
(- (/ 1 x) 1)
(/ 1 x)

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

simplify307.0ms (3.3%)

Memory

6.9MiB live, 274.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 216×	`accelerator-lowering-fma.f32`
5 216×	`accelerator-lowering-fma.f64`
1 376×	`-lowering-.f32`
1 376×	`-lowering-.f64`
944×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

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

eval48.0ms (0.5%)

Memory: 5.4MiB live, 117.6MiB allocated
Compiler: Compiled 11 066 to 1 317 computations (88.1% saved)

prune46.0ms (0.5%)

Memory

-3.8MiB live, 117.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	5	394

Accuracy

100.0%

Counts

394 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
▶	98.9%	(+.f64 x (log.f64 x))
▶	26.5%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	97.5%	(log.f64 x)

Compiler

Compiled 53 to 32 computations (39.6% saved)

simplify532.0ms (5.7%)

Memory

-2.0MiB live, 808.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(+.f64 x (log.f64 x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
✓	cost-diff	4096	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	0	(log.f64 x)

Rules

21 070×	`accelerator-lowering-fma.f32`
21 070×	`accelerator-lowering-fma.f64`
4 180×	`+-lowering-+.f64`
4 180×	`+-lowering-+.f32`
2 858×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	174
1	55	162
2	111	150
3	216	150
4	309	150
5	339	150
6	382	126
7	541	102
8	1198	102
9	3410	102
10	7510	102
0	8426	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize92.0ms (1%)

Memory

8.6MiB live, 125.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(+.f64 x (log.f64 x))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	30.6%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(log.f64 x)

Samples

60.0ms

256×

valid

Compiler

Compiled 173 to 24 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 25.0ms (51.9% of total)

ival-add: 8.0ms (16.6% of total)

ival-mult: 7.0ms (14.5% of total)

ival-log: 6.0ms (12.4% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series61.0ms (0.7%)

Memory

-16.3MiB live, 139.0MiB allocated

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (log x)>
#<alt (- x (* -1 (log x)))>
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))>
#<alt (* -1 (log x))>
#<alt (+ (* -1 x) (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))>
#<alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (/ 1 (pow x 4))>
#<alt (/ (+ 1 (* -1 (pow x 4))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (pow x 4))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (pow x 4))) (pow x 4))>
#<alt -1>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt -1>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (log x)>
#<alt (+ x (log x))>
#<alt (+ x (log x))>
#<alt (+ x (log x))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))>
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))>
#<alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))>
#<alt (log x)>
#<alt (+ x (log x))>
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))>
#<alt (+ (log x) (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 x) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1 x))) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1 x))))) (pow x 3))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))>

Calls

33 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log x)
22.0ms	x	@	-inf	(log x)
6.0ms	x	@	inf	(log x)
2.0ms	x	@	-inf	(+ (* x (+ (* x 1/2) 1)) (log x))
1.0ms	x	@	0	(/ (+ (/ 1 (* (* x x) (* x x))) -1) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))))

rewrite366.0ms (3.9%)

Memory

33.9MiB live, 670.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 764×	`accelerator-lowering-fma.f32`
5 764×	`accelerator-lowering-fma.f64`
4 532×	`/-lowering-/.f32`
4 532×	`/-lowering-/.f64`
4 170×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	125
1	155	104
2	1379	96
0	8277	89

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 453

Calls

Call 1

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

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

simplify491.0ms (5.3%)

Memory

-16.1MiB live, 700.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 392×	`accelerator-lowering-fma.f32`
12 392×	`accelerator-lowering-fma.f64`
3 412×	`-lowering-.f32`
3 412×	`-lowering-.f64`
2 346×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	879
1	352	821
2	798	809
3	2948	768
4	7016	768
0	8063	734

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(/ 1 (pow x 4))
(/ (+ 1 (* -1 (pow x 4))) (pow x 4))
(/ (+ 1 (* -1 (pow x 4))) (pow x 4))
(/ (+ 1 (* -1 (pow x 4))) (pow x 4))
-1
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
-1
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ (+ 1 x) (pow x 3))
(/ (+ 1 (* x (+ 1 x))) (pow x 3))
(/ (+ 1 (* x (+ 1 (* x (+ 1 x))))) (pow x 3))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))

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

eval94.0ms (1%)

Memory: 27.7MiB live, 180.5MiB allocated
Compiler: Compiled 20 070 to 2 182 computations (89.1% saved)

prune61.0ms (0.7%)

Memory

-17.8MiB live, 123.2MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	619	4	623
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	620	8	628

Accuracy

100.0%

Counts

628 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
▶	2.3%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
✓	98.9%	(+.f64 x (log.f64 x))
▶	2.7%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
▶	26.5%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	97.5%	(log.f64 x)
▶	2.3%	x

Compiler

Compiled 69 to 41 computations (40.6% saved)

simplify323.0ms (3.5%)

Memory

-18.0MiB live, 411.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))))
✓	cost-diff	1664	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))

Rules

9 834×	`accelerator-lowering-fma.f32`
9 834×	`accelerator-lowering-fma.f64`
3 830×	`-lowering-.f32`
3 830×	`-lowering-.f64`
2 636×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	155
1	53	143
2	134	143
3	299	143
4	893	143
5	1621	131
6	2952	131
7	4782	131
8	6581	131
0	8082	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize76.0ms (0.8%)

Memory

16.0MiB live, 91.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.8%	(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	30.6%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))

Samples

49.0ms

256×

valid

Compiler

Compiled 172 to 21 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.7% of total)

ival-add: 5.0ms (22.1% of total)

ival-div: 4.0ms (17.7% of total)

ival-log: 3.0ms (13.2% of total)

ival-neg: 1.0ms (4.4% 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

9.5MiB live, 9.5MiB allocated

Counts

10 → 120

Calls

Call 1

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

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (log x)>
#<alt (- x (* -1 (log x)))>
#<alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (/ 1 x) (log -1))>
#<alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))>
#<alt (* -1 (log x))>
#<alt (+ (* -1 x) (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))>
#<alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))>
#<alt (log -1)>
#<alt (- (log -1) (/ 1 x))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (/ 1 (pow x 4))>
#<alt (/ (+ 1 (* -1 (pow x 4))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (pow x 4))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (pow x 4))) (pow x 4))>
#<alt -1>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt -1>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (- (/ 1 (pow x 4)) 1)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 x) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1 x))) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1 x))))) (pow x 3))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))>

Calls

30 calls:

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

rewrite319.0ms (3.4%)

Memory

-0.3MiB live, 543.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 750×	`accelerator-lowering-fma.f32`
5 750×	`accelerator-lowering-fma.f64`
4 444×	`/-lowering-/.f32`
4 444×	`/-lowering-/.f64`
4 114×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	117
1	122	106
2	1077	98
0	8483	91

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 499

Calls

Call 1

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

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

simplify589.0ms (6.3%)

Memory

-13.4MiB live, 511.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 858×	`accelerator-lowering-fma.f32`
12 858×	`accelerator-lowering-fma.f64`
3 240×	`-lowering-.f32`
3 240×	`-lowering-.f64`
2 444×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	722
1	265	692
2	574	688
3	1350	660
4	3450	646
5	6697	646
0	8079	627

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(/ 1 (pow x 4))
(/ (+ 1 (* -1 (pow x 4))) (pow x 4))
(/ (+ 1 (* -1 (pow x 4))) (pow x 4))
(/ (+ 1 (* -1 (pow x 4))) (pow x 4))
-1
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
-1
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
(- (/ 1 (pow x 4)) 1)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 (pow x 3))
(/ (+ 1 x) (pow x 3))
(/ (+ 1 (* x (+ 1 x))) (pow x 3))
(/ (+ 1 (* x (+ 1 (* x (+ 1 x))))) (pow x 3))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))

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

eval80.0ms (0.9%)

Memory: 10.9MiB live, 161.6MiB allocated
Compiler: Compiled 22 057 to 2 166 computations (90.2% saved)

prune80.0ms (0.9%)

Memory

-9.7MiB live, 160.9MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	630	3	633
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	631	10	641

Accuracy

100.0%

Counts

641 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	2.3%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
▶	1.3%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
✓	98.9%	(+.f64 x (log.f64 x))
▶	2.7%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	26.5%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	26.5%	(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))))
✓	97.5%	(log.f64 x)
✓	2.3%	x

Compiler

Compiled 135 to 71 computations (47.4% saved)

simplify320.0ms (3.4%)

Memory

10.5MiB live, 360.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	640	(fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
✓	cost-diff	640	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
✓	cost-diff	960	(fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))))
✓	cost-diff	1280	(.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))

Rules

8 916×	`accelerator-lowering-fma.f32`
8 916×	`accelerator-lowering-fma.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
1 794×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	229
1	86	199
2	265	199
3	707	193
4	2343	181
5	5679	181
0	8733	170

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (/ (* (+ 1 x) (+ (* x x) 1)) (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))))
(/ (* (+ 1 x) (+ (* x x) 1)) (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x))))
(* (+ 1 x) (+ (* x x) 1))
(+ 1 x)
1
x
(+ (* x x) 1)
(* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))
(- -1 (/ -1 (* x (* x (* x x)))))
-1
(/ -1 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (* x x) 1/2)
(* x x)
x
1/2
(/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4))))
(+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8)))
x
(* x x)
(* (* x (* x x)) (* (* x (* x x)) 1/8))
(* x (* x x))
(* (* x (* x x)) 1/8)
1/8
(+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4)))
(- x (* x (* x 1/2)))
(* x (* x 1/2))
(* x 1/2)
1/2
(* (* x x) (* (* x x) 1/4))
(* (* x x) 1/4)
1/4

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

localize106.0ms (1.1%)

Memory

-8.0MiB live, 200.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	accuracy	38.5%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x))))
✓	accuracy	30.5%	(.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))

Samples

56.0ms

256×

valid

Compiler

Compiled 269 to 31 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 20.0ms (51.4% of total)

ival-add: 7.0ms (18% of total)

ival-div: 5.0ms (12.9% of total)

ival-log: 3.0ms (7.7% of total)

ival-sub: 2.0ms (5.1% of total)

exact: 1.0ms (2.6% of total)

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

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

series6.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))>
#<alt (log (/ (* (+ 1 x) (+ (* x x) 1)) (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))))>
#<alt (/ (* (+ 1 x) (+ (* x x) 1)) (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x))))>
#<alt (* (+ 1 x) (+ (* x x) 1))>
#<alt (* (* x x) 1/2)>
#<alt (* x x)>
#<alt (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4)))>
#<alt (/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4))))>
#<alt (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8)))>
#<alt (- x (* x (* x 1/2)))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* (* x x) (* (* x x) 1/4))>

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4))))
1.0ms	x	@	0	(/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4))))
1.0ms	x	@	inf	(* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))
0.0ms	x	@	-inf	(/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4))))
0.0ms	x	@	inf	(* (* x x) (* (* x x) 1/4))

rewrite730.0ms (7.8%)

Memory

-8.9MiB live, 579.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 884×	`/-lowering-/.f32`
5 884×	`/-lowering-/.f64`
5 342×	`-lowering-.f32`
5 342×	`-lowering-.f64`
3 750×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	160
1	177	138
2	1595	132
0	9172	121

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 620

Calls

Call 1

Inputs
(* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))
(log (/ (* (+ 1 x) (+ (* x x) 1)) (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x)))))
(/ (* (+ 1 x) (+ (* x x) 1)) (* (- -1 (/ -1 (* x (* x (* x x))))) (* x (* x x))))
(* (+ 1 x) (+ (* x x) 1))
(* (* x x) 1/2)
(* x x)
(+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4)))
(/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x x) (* (* x x) 1/4))))
(+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8)))
(- x (* x (* x 1/2)))
(* x (* x x))
(* x (* x (* x x)))
(* (* x x) (* (* x x) 1/4))

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

simplify792.0ms (8.5%)

Memory

21.7MiB live, 583.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 566×	`accelerator-lowering-fma.f32`
19 566×	`accelerator-lowering-fma.f64`
3 456×	`-lowering-.f32`
3 456×	`-lowering-.f64`
2 318×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1001
1	347	992
2	917	950
3	3007	940
4	5440	940
0	8183	884

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval156.0ms (1.7%)

Memory: 0.1MiB live, 272.9MiB allocated
Compiler: Compiled 40 336 to 2 679 computations (93.4% saved)

prune100.0ms (1.1%)

Memory

10.2MiB live, 326.5MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	984	7	991
Fresh	0	0	0
Picked	2	1	3
Done	1	6	7
Total	987	14	1 001

Accuracy

100.0%

Counts

1 001 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	2.3%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
	5.7%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
	4.6%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
	1.3%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
	1.3%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
	1.6%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
✓	98.9%	(+.f64 x (log.f64 x))
✓	2.7%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
	98.8%	(log.f64 (fma.f64 x x x))
	100.0%	(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))))
✓	97.5%	(log.f64 x)
✓	2.3%	x

Compiler

Compiled 549 to 180 computations (67.2% saved)

regimes33.0ms (0.4%)

Memory

-19.0MiB live, 97.7MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log.f64 x)
(+.f64 x (log.f64 x))
(log.f64 (fma.f64 x x x))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))))
(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))

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

Calls

5 calls:

7.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
6.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
6.0ms	x

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes36.0ms (0.4%)

Memory

-35.8MiB live, 81.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log.f64 x)
(+.f64 x (log.f64 x))
(log.f64 (fma.f64 x x x))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

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

Calls

5 calls:

14.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
7.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes27.0ms (0.3%)

Memory

0.6MiB live, 76.8MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log.f64 x)
(+.f64 x (log.f64 x))
(log.f64 (fma.f64 x x x))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))

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

Calls

5 calls:

6.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes29.0ms (0.3%)

Memory

5.3MiB live, 84.0MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log.f64 x)
(+.f64 x (log.f64 x))
(log.f64 (fma.f64 x x x))

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

Calls

5 calls:

9.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
6.0ms	x
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
98.9%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.9%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes22.0ms (0.2%)

Memory

15.3MiB live, 53.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log.f64 x)

Outputs
(log.f64 x)

Calls

5 calls:

4.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
97.5%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
97.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
97.5%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes28.0ms (0.3%)

Memory

9.3MiB live, 47.2MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))

Outputs

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

(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))

Calls

5 calls:

13.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	x

Results

Accuracy	Segments	Branch
7.6%	2	`x`
7.6%	2	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
7.6%	2	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
7.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
7.6%	2	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes64.0ms (0.7%)

Memory

-4.9MiB live, 35.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))

Outputs

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

(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))

Calls

5 calls:

50.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
6.4%	2	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
6.4%	2	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
6.4%	2	`(/.f64 #s(literal 1 binary64) x)`
6.4%	2	`x`
6.4%	2	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes18.0ms (0.2%)

Memory

-0.0MiB live, 38.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))

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

Calls

5 calls:

5.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	x
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
2.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.7%	1	`(/.f64 #s(literal 1 binary64) x)`
2.7%	1	`x`
2.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes7.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

5 calls:

1.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
1.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	x

Results

Accuracy	Segments	Branch
2.3%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.3%	1	`(/.f64 #s(literal 1 binary64) x)`
2.3%	1	`x`
2.3%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-251.02616627002212	-247.63905646799387

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch2.0ms (0%)

Memory

-37.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	-251.02616627002212	-247.63905646799387

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
26×	`neg-mul-1_binary64`
22×	`unsub-neg_binary64`
22×	`+-commutative_binary64`
14×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	143
1	68	143
2	83	143
3	97	143
4	118	143
5	147	143
6	149	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+.f64 x (log.f64 x))
(log.f64 x)
(if (<=.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -250 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(if (<=.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -250 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
x

Outputs
(log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+.f64 x (log.f64 x))
(log.f64 x)
(if (<=.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -250 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(if (<=.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal -250 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(if (<=.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -250 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal -250 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
x

soundness2.0s (21.9%)

Memory

-17.3MiB live, 938.4MiB allocated

Rules

19 566×	`accelerator-lowering-fma.f32`
19 566×	`accelerator-lowering-fma.f64`
12 392×	`accelerator-lowering-fma.f32`
12 392×	`accelerator-lowering-fma.f64`
5 750×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	34	21
2	232	21
3	2495	21
0	9266	18
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270
0	120	1001
1	347	992
2	917	950
3	3007	940
4	5440	940
0	8183	884
0	19	117
1	122	106
2	1077	98
0	8483	91
0	133	879
1	352	821
2	798	809
3	2948	768
4	7016	768
0	8063	734

Stop Event

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

Compiler

Compiled 314 to 140 computations (55.4% saved)

preprocess53.0ms (0.6%)

Memory: 6.1MiB live, 122.0MiB allocated
Compiler: Compiled 304 to 96 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
1	13	7
2	16	7
3	18	7
4	20	7
5	24	7
6	29	7
0	29	7

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
1	13	7
2	16	7
3	18	7
4	20	7
5	24	7
6	29	7
0	29	7

analyze6.0ms (0.1%)

sample696.0ms (7.5%)

preprocess13.0ms (0.1%)

explain77.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize27.0ms (0.3%)

series2.0ms (0%)

rewrite337.0ms (3.6%)

simplify307.0ms (3.3%)

eval48.0ms (0.5%)

prune46.0ms (0.5%)

simplify532.0ms (5.7%)

localize92.0ms (1%)

series61.0ms (0.7%)

rewrite366.0ms (3.9%)

simplify491.0ms (5.3%)

eval94.0ms (1%)

prune61.0ms (0.7%)

simplify323.0ms (3.5%)

localize76.0ms (0.8%)

series5.0ms (0.1%)

rewrite319.0ms (3.4%)

simplify589.0ms (6.3%)

eval80.0ms (0.9%)

prune80.0ms (0.9%)

simplify320.0ms (3.4%)

localize106.0ms (1.1%)

series6.0ms (0.1%)

rewrite730.0ms (7.8%)

simplify792.0ms (8.5%)

eval156.0ms (1.7%)

prune100.0ms (1.1%)

regimes33.0ms (0.4%)

regimes36.0ms (0.4%)

regimes27.0ms (0.3%)

regimes29.0ms (0.3%)

regimes22.0ms (0.2%)

regimes28.0ms (0.3%)

regimes64.0ms (0.7%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

simplify11.0ms (0.1%)

soundness2.0s (21.9%)

preprocess53.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
1	13	7
2	16	7
3	18	7
4	20	7
5	24	7
6	29	7
0	29	7