Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.5s (21.5%)

Memory

22.0MiB live, 2 361.8MiB allocated

Samples

519.0ms	1 533×	2	valid
380.0ms	2 507×	1	valid
264.0ms	4 216×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 946.0ms

ival-exp: 481.0ms (50.9% of total)

ival-add: 97.0ms (10.3% of total)

ival-div: 93.0ms (9.8% of total)

adjust: 90.0ms (9.5% of total)

ival-sub: 83.0ms (8.8% of total)

ival-mult: 82.0ms (8.7% of total)

exact: 10.0ms (1.1% of total)

ival-true: 7.0ms (0.7% of total)

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

Bogosity

preprocess30.0ms (0.4%)

Memory

-11.4MiB live, 27.4MiB 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)

explain157.0ms (2.3%)

Memory

-11.6MiB live, 225.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	0	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	1	(-58.5447390916636 8.402209496235663e-84)	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	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	130	0
`exp.f64`	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	130	0
-	1	125

Precision

0.9923664122137404

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	1	0	125

Precision?

0.9923664122137404

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	86×	2	valid
25.0ms	158×	1	valid
18.0ms	268×	0	valid

Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 23.0ms (47.3% of total)

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

adjust: 5.0ms (10.3% of total)

ival-add: 4.0ms (8.2% of total)

ival-mult: 4.0ms (8.2% of total)

ival-sub: 4.0ms (8.2% of total)

exact: 1.0ms (2.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(-.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

6.1MiB live, 6.1MiB 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

localize47.0ms (0.7%)

Memory

20.5MiB live, 60.3MiB 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	54.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

14.0ms	79×	1	valid
13.0ms	43×	2	valid
8.0ms	134×	0	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

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

ival-exp: 10.0ms (44.5% of total)

adjust: 3.0ms (13.3% of total)

ival-div: 3.0ms (13.3% of total)

ival-add: 2.0ms (8.9% of total)

ival-mult: 2.0ms (8.9% of total)

ival-sub: 2.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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))))

rewrite272.0ms (4%)

Memory

-24.8MiB live, 320.4MiB 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)))))))
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #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 (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))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 (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 (.f64 x #s(literal -6 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))))) (fma.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 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 (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)))))

simplify382.0ms (5.6%)

Memory

-3.5MiB live, 507.8MiB 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))

eval65.0ms (1%)

Memory: 15.1MiB live, 52.7MiB allocated
Compiler: Compiled 7 800 to 983 computations (87.4% saved)

prune87.0ms (1.3%)

Memory

-3.8MiB live, 75.0MiB 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
▶	52.5%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	51.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	28.2%	(-.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))
	28.0%	(-.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))
▶	27.6%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	54.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	7.4%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	4.2%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Compiler

Compiled 168 to 114 computations (32.1% saved)

simplify247.0ms (3.6%)

Memory

-1.5MiB live, 417.1MiB 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 x (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)

Rules

9 922×	`lower-fma.f32`
9 916×	`lower-fma.f64`
2 934×	`lower-+.f32`
2 930×	`lower-+.f64`
2 668×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	87
0	33	75
1	60	75
2	108	75
3	602	75
4	4911	71
5	7383	71
0	8160	70

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x 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
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.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))
x
#s(literal 1 binary64)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) 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 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #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)

localize85.0ms (1.2%)

Memory

13.1MiB live, 177.2MiB 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	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	accuracy	99.2%	(-.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	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.1%	(-.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 x x)
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))

Samples

38.0ms	122×	1	exit
20.0ms	134×	0	valid

Compiler

Compiled 95 to 23 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 14.0ms (30.8% of total)

ival-mult: 8.0ms (17.6% of total)

adjust: 6.0ms (13.2% of total)

const: 6.0ms (13.2% of total)

ival-add: 5.0ms (11% of total)

ival-sub: 5.0ms (11% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-23.2MiB live, 19.0MiB allocated

Counts

12 → 132

Calls

Call 1

Inputs
#<alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 x (.f64 x 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 #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)>

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) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 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 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)>

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(- 2 (+ x x))
1.0ms	x	@	0	(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
1.0ms	x	@	inf	(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
0.0ms	x	@	-inf	(* x (* x x))

rewrite90.0ms (1.3%)

Memory

7.8MiB live, 164.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

998×	`lower-fma.f32`
992×	`lower-fma.f64`
624×	`lower-*.f32`
620×	`lower-*.f64`
512×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	68
0	33	60
1	153	58
0	1303	55

Stop Event

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

Counts

12 → 268

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
(.f64 x (.f64 x 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 #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)

Outputs
(+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) x)
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 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))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (neg.f64 x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) x)))))
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simplify465.0ms (6.8%)

Memory

-126.6MiB live, 422.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 492×	`lower-fma.f64`
9 492×	`lower-fma.f32`
2 456×	`lower-*.f64`
2 456×	`lower-*.f32`
2 412×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	706
1	227	662
2	575	658
3	1721	656
4	4148	656
5	6738	656
0	8335	619

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 115

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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)
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)))))
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)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 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))
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 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x 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 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) 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))

eval52.0ms (0.8%)

Memory: 6.4MiB live, 118.2MiB allocated
Compiler: Compiled 6 598 to 879 computations (86.7% saved)

prune59.0ms (0.9%)

Memory

9.1MiB live, 122.7MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	421	11	432
Fresh	2	0	2
Picked	3	2	5
Done	1	0	1
Total	427	13	440

Accuracy

100.0%

Counts

440 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
	7.3%	(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))
	28.7%	(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	51.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
▶	32.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
	28.9%	(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 1 binary64))
	28.4%	(-.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))
	28.8%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	28.8%	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))
	7.4%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
▶	52.6%	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
▶	52.8%	x
▶	25.5%	#s(literal -1 binary64)

Compiler

Compiled 309 to 200 computations (35.3% saved)

simplify317.0ms (4.7%)

Memory

-35.4MiB live, 535.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 8 binary64) (+.f64 x x))
✓	cost-diff	192	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x)))
✓	cost-diff	384	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	cost-diff	512	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	cost-diff	1728	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 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

16 318×	`lower-fma.f64`
16 318×	`lower-fma.f32`
2 410×	`lower-*.f32`
2 402×	`lower-*.f64`
2 144×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	35	82
1	70	82
2	187	78
3	422	68
4	2150	64
0	8154	62

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

localize111.0ms (1.6%)

Memory

16.1MiB live, 135.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 8 binary64) (+.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x)))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	accuracy	54.3%	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	accuracy	76.3%	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 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	56.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))

Samples

49.0ms	43×	2	valid
21.0ms	79×	1	valid
18.0ms	134×	0	valid

Compiler

Compiled 106 to 24 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 40.0ms (57.8% of total)

adjust: 8.0ms (11.6% of total)

ival-mult: 8.0ms (11.6% of total)

ival-div: 7.0ms (10.1% of total)

ival-sub: 5.0ms (7.2% of total)

exact: 1.0ms (1.4% of total)

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

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

series6.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (+.f64 x #s(literal 2 binary64)) x)>
#<alt (+.f64 x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))>
#<alt (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x)))>
#<alt (+.f64 #s(literal 8 binary64) (+.f64 x x))>

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 (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/8 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))>
#<alt 1>
#<alt (+ 1 (* 1/4 x))>
#<alt (+ 1 (* x (+ 1/4 (* -1/16 x))))>
#<alt (+ 1 (* x (+ 1/4 (* x (- (* 1/64 x) 1/16)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 16 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/16 x)))>
#<alt (* x (+ 1/4 (* x (- (* 1/64 x) 1/16))))>
#<alt (* x (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 x)))>
#<alt (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 x))>
#<alt (+ 1/4 (* x (- (* 1/64 x) 1/16)))>
#<alt (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 4) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 x)) 16) x)) 4) x)) 1) x))>
#<alt 8>
#<alt (+ 8 (* 2 x))>
#<alt (+ 8 (* 2 x))>
#<alt (+ 8 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>

Calls

36 calls:

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

rewrite58.0ms (0.8%)

Memory

-16.7MiB live, 21.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

62×	`lower-/.f32`
62×	`lower-+.f32`
56×	`lower-/.f64`
56×	`lower-*.f32`
54×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	34	70
0	170	63

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

12 → 74

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

Outputs
x
(+.f64 x #s(literal 0 binary64))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (/.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x
(+.f64 x #s(literal 0 binary64))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (/.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))
(.f64 (+.f64 x #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x #s(literal 2 binary64))))
(pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (+.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (+.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)))))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (+.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))))
(+.f64 #s(literal 8 binary64) (+.f64 x x))
(+.f64 (+.f64 x x) #s(literal 8 binary64))
(+.f64 (+.f64 #s(literal 8 binary64) x) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 #s(literal 8 binary64) (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 #s(literal 8 binary64) (+.f64 x x)))

simplify306.0ms (4.5%)

Memory

19.2MiB live, 527.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 148×	`lower-fma.f64`
12 148×	`lower-fma.f32`
3 302×	`lower-*.f64`
3 302×	`lower-*.f32`
2 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	668
1	421	636
2	947	624
3	2446	620
4	6157	620
0	8141	587

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 106

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
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(/ 1 x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
1
(+ 1 (* 1/4 x))
(+ 1 (* x (+ 1/4 (* -1/16 x))))
(+ 1 (* x (+ 1/4 (* x (- (* 1/64 x) 1/16)))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 16 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))
(* 1/4 x)
(* x (+ 1/4 (* -1/16 x)))
(* x (+ 1/4 (* x (- (* 1/64 x) 1/16))))
(* x (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16))))
1
(- 1 (* 4 (/ 1 x)))
(- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))
1
(- 1 (* 4 (/ 1 x)))
(+ 1 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))
1/4
(+ 1/4 (* -1/16 x))
(+ 1/4 (* x (- (* 1/64 x) 1/16)))
(+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16)))
(/ 1 x)
(/ (- 1 (* 4 (/ 1 x))) x)
(/ (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 4 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 4) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 x)) 16) x)) 4) x)) 1) x))
8
(+ 8 (* 2 x))
(+ 8 (* 2 x))
(+ 8 (* 2 x))
(* 2 x)
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 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
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
2
#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))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 2 (/ 1 x))) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -2 binary64)))
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 1) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -2 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/4 (* -1/16 x))))
(fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/4 (* x (- (* 1/64 x) 1/16)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 2 (/ 16 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x))
(- (+ 2 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -16 binary64)) x)) x))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 2 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -16 binary64)) x)) x))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -1/16 x)))
(*.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* x (- (* 1/64 x) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/256 binary64) #s(literal 1/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x))
(- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -16 binary64)) x)) x))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 1 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -16 binary64)) x)) x))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 x))
(fma.f64 x #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* 1/64 x) 1/16)))
(fma.f64 x (fma.f64 x #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/256 binary64) #s(literal 1/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 4 (/ 1 x))) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -4 binary64)))
(/ (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x))) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) x)) x))
(/ (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3))))) x)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -16 binary64)) x)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 4 (/ 1 x)) 1) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -4 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 4) x)) 1) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) x)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 x)) 16) x)) 4) x)) 1) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -16 binary64)) x)) x))
8
#s(literal 8 binary64)
(+ 8 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))

eval28.0ms (0.4%)

Memory: 3.4MiB live, 41.6MiB allocated
Compiler: Compiled 2 357 to 313 computations (86.7% saved)

prune20.0ms (0.3%)

Memory

12.0MiB live, 45.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	5	1	6
Picked	3	2	5
Done	0	2	2
Total	202	6	208

Accuracy

100.0%

Counts

208 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	51.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
▶	7.4%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	52.8%	x
▶	28.4%	#s(literal 1 binary64)
✓	25.5%	#s(literal -1 binary64)

Compiler

Compiled 41 to 28 computations (31.7% saved)

simplify309.0ms (4.5%)

Memory

-2.9MiB live, 298.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

20 344×	`associate-+r+`
11 184×	`lower-+.f32`
11 180×	`lower-+.f64`
2 664×	`+-commutative`
2 140×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	7	16
1	13	12
2	20	8
3	20	8
4	47	8
5	113	8
6	289	8
7	317	8
8	317	8
9	688	8
10	760	8
11	760	8
12	760	8
13	1908	8
14	2116	8
15	2116	8
16	2116	8
17	5318	8
18	5318	8
19	5318	8
20	6120	8
21	6120	8
22	6120	8
0	16362	8

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

-0.4MiB live, 39.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	54.3%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))

Samples

5.0ms	79×	1	valid
5.0ms	134×	0	valid
4.0ms	43×	2	valid

Compiler

Compiled 14 to 8 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 4.0ms (59% of total)

adjust: 2.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite245.0ms (3.6%)

Memory

10.8MiB live, 318.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 098×	`lower-fma.f64`
8 098×	`lower-fma.f32`
3 056×	`lower-*.f64`
3 056×	`lower-*.f32`
1 760×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	38	6
2	304	4
3	5215	4
0	9165	4

Stop Event

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

Counts

2 → 329

Calls

Call 1

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

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

simplify15.0ms (0.2%)

Memory

-17.0MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	23	42
2	59	42
3	95	42
4	142	42
5	217	42
6	261	42
7	263	42
0	263	42

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 10

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

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

eval45.0ms (0.7%)

Memory: -1.6MiB live, 79.3MiB allocated
Compiler: Compiled 6 713 to 740 computations (89% saved)

prune48.0ms (0.7%)

Memory

22.0MiB live, 97.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	339	6	345

Accuracy

100.0%

Counts

345 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	51.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	7.4%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	52.8%	x
✓	28.4%	#s(literal 1 binary64)
✓	25.5%	#s(literal -1 binary64)

Compiler

Compiled 238 to 97 computations (59.2% saved)

regimes50.0ms (0.7%)

Memory

-23.5MiB live, 68.5MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #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 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 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 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 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
#s(literal 1 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)

Calls

7 calls:

14.0ms	y
9.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
63.4%	3	`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)

regimes56.0ms (0.8%)

Memory

-8.2MiB live, 30.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

37.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.9%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.9%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.9%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.9%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes14.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
99.4%	3	`x`
99.4%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.4%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.4%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.4%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.4%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes10.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
32.3%	3	`y`
52.1%	2	`x`
51.5%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
51.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
51.5%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
51.5%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
52.1%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes114.0ms (1.7%)

Memory

-26.2MiB live, 13.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

7 calls:

107.0ms	x
1.0ms	(*.f64 #s(literal -2 binary64) 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
25.5%	1	`y`
25.5%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
25.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
25.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
25.5%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
25.5%	1	`x`
25.5%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00447746505877464	117.0894781833272
0.0ms	-2002.5190860200582	-0.0005656241303463218

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00447746505877464	117.0894781833272
0.0ms	-2002.5190860200582	-0.0005656241303463218

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00447746505877464	117.0894781833272
0.0ms	-2002.5190860200582	-0.0005656241303463218

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch226.0ms (3.3%)

Memory

-10.2MiB live, 70.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
137.0ms	-2.6115243256273903e-308	4.556227319340265e-301

Samples

22.0ms	48×	3	valid
22.0ms	96×	2	valid

Compiler

Compiled 87 to 87 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-exp: 24.0ms (64.1% of total)

adjust: 5.0ms (13.4% of total)

ival-div: 4.0ms (10.7% of total)

ival-sub: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	73
1	30	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #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 -2000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 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 -2000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 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 -2000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #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 -2000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 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 -2000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 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)

soundness1.2s (17.8%)

Memory

28.9MiB live, 457.5MiB allocated

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
12 148×	`lower-fma.f64`
12 148×	`lower-fma.f32`
9 492×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	706
1	227	662
2	575	658
3	1721	656
4	4148	656
5	6738	656
0	8335	619
0	138	668
1	421	636
2	947	624
3	2446	620
4	6157	620
0	8141	587
0	17	68
0	33	60
1	153	58
0	1303	55
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 236 to 146 computations (38.1% saved)

preprocess65.0ms (1%)

Memory: -37.5MiB live, 104.5MiB allocated
Remove: (abs y)
Compiler: Compiled 232 to 108 computations (53.4% 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%)

sample1.5s (21.5%)

preprocess30.0ms (0.4%)

explain157.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize47.0ms (0.7%)

series4.0ms (0.1%)

rewrite272.0ms (4%)

simplify382.0ms (5.6%)

eval65.0ms (1%)

prune87.0ms (1.3%)

simplify247.0ms (3.6%)

localize85.0ms (1.2%)

series10.0ms (0.2%)

rewrite90.0ms (1.3%)

simplify465.0ms (6.8%)

eval52.0ms (0.8%)

prune59.0ms (0.9%)

simplify317.0ms (4.7%)

localize111.0ms (1.6%)

series6.0ms (0.1%)

rewrite58.0ms (0.8%)

simplify306.0ms (4.5%)

eval28.0ms (0.4%)

prune20.0ms (0.3%)

simplify309.0ms (4.5%)

localize23.0ms (0.3%)

series0.0ms (0%)

rewrite245.0ms (3.6%)

simplify15.0ms (0.2%)

eval45.0ms (0.7%)

prune48.0ms (0.7%)

regimes50.0ms (0.7%)

regimes56.0ms (0.8%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

regimes114.0ms (1.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch226.0ms (3.3%)

simplify6.0ms (0.1%)

soundness1.2s (17.8%)

preprocess65.0ms (1%)

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