Metrics for ln(1 + x)

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample348.0ms (5.1%)

Memory

35.8MiB live, 450.1MiB allocated

Samples

223.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-log1p: 94.0ms (92.9% of total)

ival-true: 5.0ms (4.9% of total)

ival-assert: 2.0ms (2% of total)

Bogosity

preprocess11.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`sub-neg`
12×	`+-commutative`
8×	`associate--r+`
8×	`associate-+l-`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	15	9
2	22	9
3	30	9
4	40	9
5	53	9
6	66	9
7	69	9
0	4	4
1	7	4
0	7	2

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))

Outputs
(log (+ 1 x))
(log1p.f64 x)

explain51.0ms (0.7%)

Memory

-8.9MiB live, 70.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	179	1

Confusion

	Predicted +	Predicted -
+	179	0
-	0	77

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	179	0	0
-	0	1	76

Precision?

0.9944444444444445

Recall?

1.0

Freqs

test

number	freq
0	77
1	179

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log1p: 4.0ms (51% of total)

ival-add: 3.0ms (38.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.7%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`accelerator-lowering-log1p.f32`
2×	`log-lowering-log.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	7	9
0	7	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 x)
1
x

Outputs
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize17.0ms (0.2%)

Memory

-14.0MiB live, 22.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	35.7%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-log1p: 2.0ms (52.2% of total)

ival-add: 1.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (log (+ 1 x))>
#<alt (+ 1 x)>

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

Calls

6 calls:

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

rewrite366.0ms (5.3%)

Memory

-9.2MiB live, 428.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 606×	`accelerator-lowering-fma.f32`
6 606×	`accelerator-lowering-fma.f64`
4 022×	`/-lowering-/.f32`
4 022×	`/-lowering-/.f64`
3 648×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	20	7
2	129	7
3	980	7
0	8596	5

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 344

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 x)

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x))) (log1p.f64 (.f64 x (*.f64 x x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x))))) (log1p.f64 (fma.f64 x (neg.f64 x) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.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 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (.f64 x x) x)))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (.f64 x x) x)))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 x)))))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (.f64 x x) x))))) (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 x))))
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(.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 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #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) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) 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 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.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) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) 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) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.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) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 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)) (fma.f64 (.f64 x (.f64 x x)) (.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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #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)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))

simplify1.2s (17.9%)

Memory

-4.0MiB live, 558.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 822×	`accelerator-lowering-fma.f32`
17 822×	`accelerator-lowering-fma.f64`
2 868×	`+-lowering-+.f64`
2 868×	`+-lowering-+.f32`
2 630×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 20.5MiB live, 99.2MiB allocated
Compiler: Compiled 11 134 to 1 115 computations (90% saved)

prune51.0ms (0.7%)

Memory

6.6MiB live, 122.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	363	5	368
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	364	5	369

Accuracy

100.0%

Counts

369 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
▶	71.2%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
▶	70.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
▶	100.0%	(log1p.f64 x)
▶	70.8%	x

Compiler

Compiled 70 to 42 computations (40% saved)

simplify33.0ms (0.5%)

Memory

-15.8MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓	cost-diff	(log1p.f64 x)

Rules

1 072×	`accelerator-lowering-fma.f32`
1 072×	`accelerator-lowering-fma.f64`
340×	`-lowering-.f32`
340×	`-lowering-.f64`
232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	76
1	47	76
2	86	76
3	174	76
4	385	76
5	460	76
6	591	76
7	592	76
0	592	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(log (+ 1 x))
(log1p.f64 x)
x
x
(+ (* x (* x -1/2)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (+ (* x 1/3) -1/2) (* x x)) x)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
(+ (* x 1/3) -1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
x
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
x
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)

localize64.0ms (0.9%)

Memory

-4.6MiB live, 168.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log1p.f64 x)

Samples

41.0ms

256×

valid

Compiler

Compiled 66 to 21 computations (68.2% saved)

Precisions

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

ival-mult: 13.0ms (42% of total)

ival-log1p: 8.0ms (25.8% of total)

ival-add: 6.0ms (19.4% of total)

const: 3.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

9 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite545.0ms (7.9%)

Memory

-1.0MiB live, 657.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 642×	`accelerator-lowering-fma.f32`
6 642×	`accelerator-lowering-fma.f64`
4 832×	`-lowering-.f32`
4 832×	`-lowering-.f64`
4 352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	62
1	129	62
2	1022	62
0	8331	50

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 322

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)))) (+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 (.f64 x x)))) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
(log1p.f64 x)
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (fma.f64 x (-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x))) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (neg.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (-.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/262144 binary64) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64)))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/4096 binary64) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/4096 binary64) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/16 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/16 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))

simplify291.0ms (4.2%)

Memory

38.6MiB live, 501.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 064×	`accelerator-lowering-fma.f32`
9 064×	`accelerator-lowering-fma.f64`
2 638×	`-lowering-.f32`
2 638×	`-lowering-.f64`
1 860×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	713
1	297	698
2	773	686
3	2466	676
4	6230	672
0	8098	603

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: -9.9MiB live, 160.9MiB allocated
Compiler: Compiled 12 743 to 1 186 computations (90.7% saved)

prune45.0ms (0.7%)

Memory

-3.8MiB live, 113.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	449	1	450
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	449	6	455

Accuracy

100.0%

Counts

455 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	71.2%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	70.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
▶	70.0%	(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(log1p.f64 x)
✓	70.8%	x

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

42×	`-lowering-.f32`
42×	`-lowering-.f64`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
12×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	11	15
2	19	15
3	26	15
4	41	15
5	41	15
0	41	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

0.5MiB live, 39.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (60.8% of total)

ival-add: 1.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite554.0ms (8.1%)

Memory

-8.2MiB live, 749.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 690×	`accelerator-lowering-fma.f32`
14 690×	`accelerator-lowering-fma.f64`
3 958×	`-lowering-.f32`
3 958×	`-lowering-.f64`
3 838×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	24	12
2	156	12
3	1380	12
0	8825	10

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 284

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(+.f64 (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x x)) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
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(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))))
(.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/512 binary64) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/512 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)))

simplify242.0ms (3.5%)

Memory

-13.9MiB live, 381.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 582×	`accelerator-lowering-fma.f32`
4 582×	`accelerator-lowering-fma.f64`
3 984×	`-lowering-.f32`
3 984×	`-lowering-.f64`
1 558×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	126
1	42	126
2	89	126
3	217	126
4	389	126
5	2389	126
6	4775	126
7	7243	126
0	8055	108

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

eval43.0ms (0.6%)

Memory: 5.2MiB live, 86.2MiB allocated
Compiler: Compiled 9 417 to 831 computations (91.2% saved)

prune54.0ms (0.8%)

Memory

10.6MiB live, 85.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	307	7	314

Accuracy

100.0%

Counts

314 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	71.2%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	70.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
▶	70.7%	(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)
✓	70.0%	(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(log1p.f64 x)
✓	70.8%	x

Compiler

Compiled 73 to 45 computations (38.4% saved)

simplify606.0ms (8.8%)

Memory

10.3MiB live, 723.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)))
✓	cost-diff	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)

Rules

15 326×	`accelerator-lowering-fma.f32`
15 326×	`accelerator-lowering-fma.f64`
4 646×	`-lowering-.f32`
4 646×	`-lowering-.f64`
3 056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	131
1	58	131
2	154	129
3	583	129
4	1654	129
5	3637	129
6	4704	129
7	5189	129
8	5528	129
9	5879	129
10	6013	129
11	7807	129
0	8160	112

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize84.0ms (1.2%)

Memory

28.6MiB live, 99.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	88.6%	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	accuracy	82.8%	(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 126 to 25 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 38.0ms (74.6% of total)

ival-add: 8.0ms (15.7% of total)

ival-div: 3.0ms (5.9% of total)

exact: 1.0ms (2% of total)

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

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

series18.0ms (0.3%)

Memory

-25.3MiB live, 13.3MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/32 (pow x 3)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (+ 1/32 (* -1/256 (pow x 3)))) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (+ 1/32 (* (pow x 3) (- (* 1/2048 (pow x 3)) 1/256)))) 1/4))>
#<alt (/ -2 x)>
#<alt (/ (- (* 16 (/ 1 (pow x 3))) 2) x)>
#<alt (/ (- (* 16 (/ 1 (pow x 3))) (+ 2 (/ 128 (pow x 6)))) x)>
#<alt (/ (- (+ (* 16 (/ 1 (pow x 3))) (* 1024 (/ 1 (pow x 9)))) (+ 2 (/ 128 (pow x 6)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 16 (/ 1 (pow x 3)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 16 (* 128 (/ 1 (pow x 3)))) (pow x 3)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 16 (* -1 (/ (- 128 (* 1024 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))) x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (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 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))>

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(* (+ (* (/ (* x (* x 1/4)) (+ (* (* x (* x x)) -1/8) -1)) (+ (* x (+ (* x 1/4) -1/2)) 1)) (/ 1 (+ (* x 1/2) 1))) x)
1.0ms	x	@	inf	(* (+ (* (/ (* x (* x 1/4)) (+ (* (* x (* x x)) -1/8) -1)) (+ (* x (+ (* x 1/4) -1/2)) 1)) (/ 1 (+ (* x 1/2) 1))) x)
1.0ms	x	@	-inf	(* (+ (* (/ (* x (* x 1/4)) (+ (* (* x (* x x)) -1/8) -1)) (+ (* x (+ (* x 1/4) -1/2)) 1)) (/ 1 (+ (* x 1/2) 1))) x)
0.0ms	x	@	inf	(/ (* x (* x 1/4)) (+ (* (* x (* x x)) -1/8) -1))
0.0ms	x	@	0	(/ (* x (* x 1/4)) (+ (* (* x (* x x)) -1/8) -1))

rewrite393.0ms (5.7%)

Memory

3.3MiB live, 755.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 922×	`accelerator-lowering-fma.f32`
5 922×	`accelerator-lowering-fma.f64`
4 322×	`/-lowering-/.f32`
4 322×	`/-lowering-/.f64`
3 804×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	132	92
2	1241	92
0	8756	80

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 365

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x) (.f64 (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) x))
(fma.f64 x (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x (.f64 (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))))))
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(.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/4 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))

simplify562.0ms (8.2%)

Memory

-1.9MiB live, 391.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 756×	`accelerator-lowering-fma.f32`
10 756×	`accelerator-lowering-fma.f64`
3 860×	`-lowering-.f32`
3 860×	`-lowering-.f64`
1 808×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	489
1	357	479
2	926	479
3	2879	474
4	6985	474
0	8198	444

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
1
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/32 (pow x 3)) 1/4))
(* (pow x 2) (- (* (pow x 3) (+ 1/32 (* -1/256 (pow x 3)))) 1/4))
(* (pow x 2) (- (* (pow x 3) (+ 1/32 (* (pow x 3) (- (* 1/2048 (pow x 3)) 1/256)))) 1/4))
(/ -2 x)
(/ (- (* 16 (/ 1 (pow x 3))) 2) x)
(/ (- (* 16 (/ 1 (pow x 3))) (+ 2 (/ 128 (pow x 6)))) x)
(/ (- (+ (* 16 (/ 1 (pow x 3))) (* 1024 (/ 1 (pow x 9)))) (+ 2 (/ 128 (pow x 6)))) x)
(/ -2 x)
(* -1 (/ (- 2 (* 16 (/ 1 (pow x 3)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 16 (* 128 (/ 1 (pow x 3)))) (pow x 3)))) x))
(* -1 (/ (+ 2 (* -1 (/ (+ 16 (* -1 (/ (- 128 (* 1024 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))) x))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (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)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (/ 1 x) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1/4 (pow x 2))
(.f64 x (.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/32 (pow x 3)) 1/4))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/32 binary64)) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 3) (+ 1/32 (* -1/256 (pow x 3)))) 1/4))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/256 binary64) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 3) (+ 1/32 (* (pow x 3) (- (* 1/2048 (pow x 3)) 1/256)))) 1/4))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2048 binary64) #s(literal -1/256 binary64)) #s(literal 1/32 binary64)) #s(literal -1/4 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 16 (/ 1 (pow x 3))) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))) x)
(/ (- (* 16 (/ 1 (pow x 3))) (+ 2 (/ 128 (pow x 6)))) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 x (.f64 x x)))) x)
(/ (- (+ (* 16 (/ 1 (pow x 3))) (* 1024 (/ 1 (pow x 9)))) (+ 2 (/ 128 (pow x 6)))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 x (.f64 x x))))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (- 2 (* 16 (/ 1 (pow x 3)))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))) x)
(* -1 (/ (+ 2 (* -1 (/ (- 16 (* 128 (/ 1 (pow x 3)))) (pow x 3)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 x (.f64 x x))) #s(literal -16 binary64)) (.f64 x (.f64 x x)))) x)
(* -1 (/ (+ 2 (* -1 (/ (+ 16 (* -1 (/ (- 128 (* 1024 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x x))) #s(literal -128 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) x)
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x)) x)

eval90.0ms (1.3%)

Memory: -7.3MiB live, 106.3MiB allocated
Compiler: Compiled 26 456 to 1 583 computations (94% saved)

prune82.0ms (1.2%)

Memory

9.9MiB live, 89.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	435	2	437
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	436	8	444

Accuracy

100.0%

Counts

444 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	71.2%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	70.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
	70.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	3.4%	(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) x)
✓	70.0%	(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(log1p.f64 x)
✓	70.8%	x

Compiler

Compiled 233 to 109 computations (53.2% saved)

regimes67.0ms (1%)

Memory

-14.9MiB live, 22.8MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
x
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) x)
(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)

Calls

3 calls:

60.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms	x
3.0ms	(+.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.2%	1	`x`
71.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
71.2%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

-23.6MiB live, 15.3MiB allocated

Accuracy

Total -1.0b remaining (-5.1%)

Threshold costs -1b (-5.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

3.0ms	(+.f64 #s(literal 1 binary64) x)
2.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
70.8%	1	`x`
70.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
70.8%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 x)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
x

Outputs
(log1p.f64 x)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
x

soundness799.0ms (11.6%)

Memory

-22.6MiB live, 253.6MiB allocated

Rules

17 822×	`accelerator-lowering-fma.f32`
17 822×	`accelerator-lowering-fma.f64`
6 606×	`accelerator-lowering-fma.f32`
6 606×	`accelerator-lowering-fma.f64`
4 022×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	20	7
2	129	7
3	980	7
0	8596	5
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

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

Compiler

Compiled 28 to 16 computations (42.9% saved)

preprocess55.0ms (0.8%)

Memory: 19.0MiB live, 138.0MiB allocated
Compiler: Compiled 76 to 40 computations (47.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample348.0ms (5.1%)

preprocess11.0ms (0.2%)

explain51.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.2%)

series1.0ms (0%)

rewrite366.0ms (5.3%)

simplify1.2s (17.9%)

eval46.0ms (0.7%)

prune51.0ms (0.7%)

simplify33.0ms (0.5%)

localize64.0ms (0.9%)

series6.0ms (0.1%)

rewrite545.0ms (7.9%)

simplify291.0ms (4.2%)

eval66.0ms (1%)

prune45.0ms (0.7%)

simplify4.0ms (0.1%)

localize18.0ms (0.3%)

series1.0ms (0%)

rewrite554.0ms (8.1%)

simplify242.0ms (3.5%)

eval43.0ms (0.6%)

prune54.0ms (0.8%)

simplify606.0ms (8.8%)

localize84.0ms (1.2%)

series18.0ms (0.3%)

rewrite393.0ms (5.7%)

simplify562.0ms (8.2%)

eval90.0ms (1.3%)

prune82.0ms (1.2%)

regimes67.0ms (1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify6.0ms (0.1%)

soundness799.0ms (11.6%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling