Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (20.5%)

Memory

18.8MiB live, 2 320.2MiB allocated

Samples

459.0ms	1 381×	2	valid
421.0ms	2 419×	1	valid
289.0ms	4 276×	0	valid
102.0ms	180×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 967.0ms

ival-exp: 418.0ms (43.2% of total)

ival-mult: 145.0ms (15% of total)

ival-div: 122.0ms (12.6% of total)

adjust: 109.0ms (11.3% of total)

ival-sub: 75.0ms (7.8% of total)

ival-add: 72.0ms (7.4% of total)

exact: 16.0ms (1.7% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess31.0ms (0.4%)

Memory

8.5MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`sub-neg`
56×	`exp-prod`
56×	`+-commutative`
32×	`associate-+l-`
32×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

explain235.0ms (3%)

Memory

1.2MiB live, 233.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
121	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	-	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	121	0

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	0	0	135

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	86×	2	valid
21.0ms	136×	1	valid
18.0ms	274×	0	valid
8.0ms	16×	3	valid

Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 30.0ms (40.4% of total)

ival-exp: 24.0ms (32.3% of total)

adjust: 5.0ms (6.7% of total)

ival-mult: 5.0ms (6.7% of total)

ival-sub: 4.0ms (5.4% of total)

ival-add: 4.0ms (5.4% of total)

exact: 1.0ms (1.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`lower-+.f32`
6×	`lower-+.f64`
6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	23	35
2	26	35
0	26	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (0.8%)

Memory

-6.6MiB live, 45.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	56.6%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

31.0ms	43×	2	valid
10.0ms	68×	1	valid
9.0ms	137×	0	valid
3.0ms	8×	3	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-exp: 29.0ms (69.3% of total)

ival-div: 3.0ms (7.2% of total)

adjust: 2.0ms (4.8% of total)

ival-sub: 2.0ms (4.8% of total)

ival-mult: 2.0ms (4.8% of total)

ival-add: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>

Calls

12 calls:

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

rewrite396.0ms (5%)

Memory

11.4MiB live, 361.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
3 628×	`lower-*.f32`
3 626×	`lower-*.f64`
2 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28

Stop Event

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

Counts

4 → 282

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(fma.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))))
(fma.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))))
(.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (fma.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) (pow.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal -4 binary64) (.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64))))) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))))

simplify655.0ms (8.2%)

Memory

-22.7MiB live, 513.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
3 260×	`lower-*.f64`
3 260×	`lower-*.f32`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(-.f64 #s(literal 1 binary64) (+.f64 x x))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))

eval42.0ms (0.5%)

Memory: 8.8MiB live, 124.2MiB allocated
Compiler: Compiled 7 800 to 983 computations (87.4% saved)

prune47.0ms (0.6%)

Memory

8.1MiB live, 127.2MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	322	7	329
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	8	330

Accuracy

100.0%

Counts

330 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
▶	56.5%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
	30.1%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	30.0%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶	29.8%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	56.5%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.8%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	4.3%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Compiler

Compiled 186 to 126 computations (32.3% saved)

simplify332.0ms (4.2%)

Memory

-23.0MiB live, 538.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	384	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))

Rules

9 062×	`lower-fma.f32`
9 058×	`lower-fma.f64`
3 214×	`lower-*.f32`
3 208×	`lower-*.f64`
2 788×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	134
0	46	126
1	72	126
2	109	126
3	420	126
4	2393	122
5	5051	122
0	8255	121

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))
#s(literal 4 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)

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

localize172.0ms (2.2%)

Memory

-13.8MiB live, 354.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	accuracy	56.6%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	56.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	99.9%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
✓	accuracy	56.6%	(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))

Samples

37.0ms	52×	2	valid
31.0ms	137×	0	valid
22.0ms	54×	1	valid
7.0ms	8×	3	valid
7.0ms	5×	4	valid

Compiler

Compiled 141 to 30 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-exp: 13.0ms (16.8% of total)

ival-sub: 13.0ms (16.8% of total)

ival-div: 11.0ms (14.2% of total)

adjust: 10.0ms (12.9% of total)

ival-add: 10.0ms (12.9% of total)

ival-mult: 10.0ms (12.9% of total)

ival-pow: 6.0ms (7.7% of total)

const: 4.0ms (5.2% of total)

exact: 1.0ms (1.3% of total)

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

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

series13.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

15 → 168

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))>
#<alt (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 (* x (+ 1 (* -2/3 x)))))>
#<alt (* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt 1/4>
#<alt (+ 1/4 (* 1/2 x))>
#<alt (+ 1/4 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 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 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) 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 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* 1/3 (pow x 2)) 1)) 1)>
#<alt (- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>
#<alt (/ -2 (+ 1 (exp (* -2 x))))>

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1) (- 1 (/ -2 (+ 1 (exp (* -2 x))))))
2.0ms	x	@	-inf	(/ (+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1) (- 1 (/ -2 (+ 1 (exp (* -2 x))))))
2.0ms	x	@	0	(+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1)
1.0ms	x	@	0	(/ (+ (* 4 (pow (+ 1 (exp (* -2 x))) -2)) -1) (- 1 (/ -2 (+ 1 (exp (* -2 x))))))
0.0ms	x	@	inf	(+ (* -1/3 (* x (* x x))) x)

rewrite118.0ms (1.5%)

Memory

-5.6MiB live, 226.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

932×	`lower-fma.f32`
928×	`lower-fma.f64`
702×	`lower-/.f32`
696×	`lower-/.f64`
678×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	104
0	46	98
1	191	85
0	1658	81

Stop Event

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

Counts

15 → 319

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

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

simplify354.0ms (4.5%)

Memory

2.5MiB live, 604.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 688×	`lower-fma.f64`
13 688×	`lower-fma.f32`
3 494×	`lower-*.f64`
3 494×	`lower-*.f32`
2 280×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1133
1	372	1089
2	850	1080
3	2351	1078
4	4763	1078
5	7700	1078
0	8098	1029

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 151

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* -2/3 x)))))
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
1/4
(+ 1/4 (* 1/2 x))
(+ 1/4 (* x (+ 1/2 (* 1/4 x))))
(+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 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 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 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) 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)
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))
(/ -2 (+ 1 (exp (* -2 x))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 1 (* -2/3 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/2 (* 1/4 x))))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(.f64 (.f64 (+.f64 x #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))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(.f64 (.f64 (+.f64 x #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))))
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)
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (* -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)
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (* -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))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))

eval61.0ms (0.8%)

Memory: 16.1MiB live, 129.8MiB allocated
Compiler: Compiled 9 123 to 1 242 computations (86.4% saved)

prune83.0ms (1%)

Memory

-1.7MiB live, 116.9MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	498	10	508
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	503	13	516

Accuracy

100.0%

Counts

516 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
	29.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64))
✓	47.7%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
▶	14.8%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
✓	56.5%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
▶	24.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
	29.4%	(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	28.0%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))
✓	56.5%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	29.3%	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
▶	50.1%	x
	4.3%	#s(literal 0 binary64)
▶	28.3%	#s(literal -1 binary64)

Compiler

Compiled 272 to 170 computations (37.5% saved)

simplify228.0ms (2.9%)

Memory

1.9MiB live, 326.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	64	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	64	(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
✓	cost-diff	1664	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	192	(-.f64 x #s(literal 0 binary64))
✓	cost-diff	192	(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓	cost-diff	1024	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))

Rules

6 176×	`lower-fma.f32`
6 168×	`lower-fma.f64`
6 040×	`lower-*.f32`
6 036×	`lower-*.f64`
2 694×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	92
0	32	66
1	63	66
2	135	64
3	250	63
4	444	63
5	1300	61
6	4595	61
0	8330	59

Stop Event

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

Calls

Call 1

Inputs
x
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(*.f64 x x)
x
#s(literal 0 binary64)
(-.f64 x #s(literal 0 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
x
(*.f64 x x)
#s(literal 0 binary64)
(fma.f64 x x #s(literal 0 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))
#s(literal 4 binary64)
x
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
#s(literal 1 binary64)

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

localize132.0ms (1.7%)

Memory

-28.5MiB live, 124.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))
✓	accuracy	56.6%	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
✓	accuracy	31.6%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 x #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	50.7%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))

Samples

43.0ms	137×	0	valid
26.0ms	64×	2	valid
14.0ms	55×	1	valid

Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 36.0ms (57.2% of total)

ival-div: 8.0ms (12.7% of total)

adjust: 7.0ms (11.1% of total)

ival-add: 7.0ms (11.1% of total)

ival-sub: 5.0ms (7.9% of total)

exact: 1.0ms (1.6% of total)

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

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

series3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))>
#<alt (-.f64 (*.f64 x x) #s(literal 0 binary64))>
#<alt (-.f64 x #s(literal 0 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))>
#<alt (fma.f64 x (*.f64 x x) #s(literal 0 binary64))>
#<alt (fma.f64 x x #s(literal 0 binary64))>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))>
#<alt (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))>

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

Calls

36 calls:

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

rewrite357.0ms (4.5%)

Memory

32.4MiB live, 588.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 894×	`lower-fma.f32`
6 886×	`lower-fma.f64`
3 390×	`lower-*.f32`
3 386×	`lower-*.f64`
3 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	79
0	31	53
1	162	51
2	1613	51
0	8594	49

Stop Event

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

Counts

12 → 1 550

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 x #s(literal 0 binary64))
(*.f64 x x)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))

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

simplify662.0ms (8.3%)

Memory

-174.7MiB live, 616.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 052×	`lower-fma.f64`
14 052×	`lower-fma.f32`
3 276×	`lower-*.f64`
3 276×	`lower-*.f32`
2 432×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	585
1	241	574
2	518	554
3	1346	542
4	3452	540
5	5780	540
6	7520	540
0	8117	513

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 107

Calls

Call 1

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

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

eval206.0ms (2.6%)

Memory: 37.5MiB live, 465.4MiB allocated
Compiler: Compiled 41 042 to 3 150 computations (92.3% saved)

prune208.0ms (2.6%)

Memory

-22.7MiB live, 445.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 813	1	1 814
Fresh	5	0	5
Picked	3	2	5
Done	0	3	3
Total	1 821	6	1 827

Accuracy

100.0%

Counts

1 827 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	56.5%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
✓	56.5%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	50.1%	x
▶	28.4%	#s(literal 1 binary64)
✓	28.3%	#s(literal -1 binary64)

Compiler

Compiled 55 to 38 computations (30.9% saved)

simplify4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
1	3	1
0	3	1

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

localize7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Samples

4.0ms

256×

valid

Compiler

Compiled 3 to 5 computations (-66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify15.0ms (0.2%)

Memory

-63.9MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	56.5%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
✓	56.5%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	50.1%	x
✓	28.4%	#s(literal 1 binary64)
✓	28.3%	#s(literal -1 binary64)

Compiler

Compiled 234 to 102 computations (56.4% saved)

regimes40.0ms (0.5%)

Memory

-1.8MiB live, 74.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)

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

Calls

7 calls:

7.0ms	x
6.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms	y
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
63.8%	4	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes40.0ms (0.5%)

Memory

1.2MiB live, 75.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)

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

Calls

6 calls:

14.0ms	x
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes30.0ms (0.4%)

Memory

25.9MiB live, 64.8MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
#s(literal -1 binary64)

Calls

6 calls:

5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
5.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.6%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.6%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.6%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.6%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes15.0ms (0.2%)

Memory

-5.8MiB live, 33.3MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)

Calls

6 calls:

3.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.6%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.6%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.6%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.6%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes16.0ms (0.2%)

Memory

-14.1MiB live, 25.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)

Calls

7 calls:

6.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
2.0ms	y
1.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
32.3%	2	`y`
54.8%	2	`x`
54.3%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
54.3%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
54.3%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
54.3%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
54.8%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes10.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Accuracy

Total -16.4b remaining (-35.7%)

Threshold costs -16.4b (-35.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)

Outputs
#s(literal -1 binary64)

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x
1.0ms	y
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
28.3%	1	`y`
28.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
28.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
28.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
28.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
28.3%	1	`x`
28.3%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4503690406689219e-6	17.51239748957527
0.0ms	-15.938316677668137	-1.599501589225838e-10

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4503690406689219e-6	17.51239748957527
0.0ms	-15.938316677668137	-1.599501589225838e-10

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4503690406689219e-6	17.51239748957527
0.0ms	-15.938316677668137	-1.599501589225838e-10

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4503690406689219e-6	17.51239748957527
0.0ms	-15.938316677668137	-1.599501589225838e-10

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch84.0ms (1.1%)

Memory

-10.8MiB live, 69.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
80.0ms	-1.5866485150444082e-307	1.93520428817641e-306

Samples

61.0ms	80×	3	valid
14.0ms	48×	2	valid

Compiler

Compiled 79 to 79 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-exp: 28.0ms (67.3% of total)

adjust: 4.0ms (9.6% of total)

ival-div: 4.0ms (9.6% of total)

ival-sub: 2.0ms (4.8% of total)

ival-add: 2.0ms (4.8% of total)

exact: 0.0ms (0% of total)

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

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

simplify71.0ms (0.9%)

Memory

-25.5MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	138
1	44	138
2	54	138
3	68	138
4	76	138
5	80	138
6	81	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4722366482869645/2361183241434822606848 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness1.5s (18.9%)

Memory

4.7MiB live, 527.5MiB allocated

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
14 052×	`lower-fma.f64`
14 052×	`lower-fma.f32`
13 688×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	104
0	46	98
1	191	85
0	1658	81
0	84	585
1	241	574
2	518	554
3	1346	542
4	3452	540
5	5780	540
6	7520	540
0	8117	513
0	9	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28
0	136	1133
1	372	1089
2	850	1080
3	2351	1078
4	4763	1078
5	7700	1078
0	8098	1029
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

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

Compiler

Compiled 280 to 140 computations (50% saved)

preprocess60.0ms (0.8%)

Memory: 12.6MiB live, 92.1MiB allocated
Remove: (abs y)
Compiler: Compiled 412 to 148 computations (64.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

analyze0.0ms (0%)

sample1.6s (20.5%)

preprocess31.0ms (0.4%)

explain235.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize66.0ms (0.8%)

series4.0ms (0.1%)

rewrite396.0ms (5%)

simplify655.0ms (8.2%)

eval42.0ms (0.5%)

prune47.0ms (0.6%)

simplify332.0ms (4.2%)

localize172.0ms (2.2%)

series13.0ms (0.2%)

rewrite118.0ms (1.5%)

simplify354.0ms (4.5%)

eval61.0ms (0.8%)

prune83.0ms (1%)

simplify228.0ms (2.9%)

localize132.0ms (1.7%)

series3.0ms (0%)

rewrite357.0ms (4.5%)

simplify662.0ms (8.3%)

eval206.0ms (2.6%)

prune208.0ms (2.6%)

simplify4.0ms (0%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite7.0ms (0.1%)

simplify15.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes40.0ms (0.5%)

regimes40.0ms (0.5%)

regimes30.0ms (0.4%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch84.0ms (1.1%)

simplify71.0ms (0.9%)

soundness1.5s (18.9%)

preprocess60.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10