Metrics for qlog (example 3.10)

analyze4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
25%	12.5%	37.5%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.1s (25.7%)

Memory

25.8MiB live, 4 310.5MiB allocated

Samples

1.7s	3 227×	2	valid
1.0s	4 774×	1	valid
22.0ms	255×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-log: 1.7s (69.7% of total)

ival-sub: 165.0ms (6.9% of total)

ival-div: 163.0ms (6.9% of total)

adjust: 128.0ms (5.4% of total)

ival-fabs: 111.0ms (4.7% of total)

ival-<=: 84.0ms (3.5% of total)

ival-log1p: 51.0ms (2.1% of total)

exact: 11.0ms (0.5% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

preprocess18.0ms (0.1%)

Memory

6.6MiB live, 44.5MiB allocated

Algorithm

2×	egg-herbie

Rules

48×	`sub-neg`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
22×	`--lowering--.f32`
22×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	30	28
2	48	28
3	84	28
4	120	28
5	158	28
6	181	28
7	194	28
8	202	28
9	204	28
0	7	9
1	12	9
2	16	9
3	21	9
4	28	9
5	36	9
6	46	9
7	60	9
8	64	9
0	64	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/ (log (- 1 (neg x))) (log (+ 1 (neg x))))
(/ (log (+ 1 x)) (log (- 1 x)))
(neg (/ (log (- 1 (neg x))) (log (+ 1 (neg x)))))
(/ (log (+ 1 x)) (neg (log (- 1 x))))

explain223.0ms (1.8%)

Memory

25.5MiB live, 458.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
254	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
0	-	-	`(+.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	254	0
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	254	0

Confusion

	Predicted +	Predicted -
+	247	0
-	7	2

Precision

0.9724409448818898

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	0	0
-	7	0	2

Precision?

0.9724409448818898

Recall?

1.0

Freqs

test

number	freq
0	2
2	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	168×	2	valid
59.0ms	320×	1	valid
2.0ms	24×	0	valid

Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-log: 63.0ms (64.1% of total)

ival-div: 9.0ms (9.2% of total)

adjust: 9.0ms (9.2% of total)

ival-add: 6.0ms (6.1% of total)

ival-sub: 6.0ms (6.1% of total)

ival-log1p: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
22×	`--lowering--.f32`
22×	`--lowering--.f64`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	12	25
2	16	25
3	21	25
4	28	25
5	36	25
6	46	25
7	60	25
8	64	25
0	64	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize85.0ms (0.7%)

Memory

-14.3MiB live, 191.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	9.9%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	9.9%	(log.f64 (-.f64 #s(literal 1 binary64) x))

Samples

37.0ms	160×	1	valid
33.0ms	84×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-log: 37.0ms (62.4% of total)

adjust: 9.0ms (15.2% of total)

ival-div: 4.0ms (6.7% of total)

ival-add: 3.0ms (5.1% of total)

ival-sub: 3.0ms (5.1% of total)

ival-log1p: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-19.5MiB live, 16.1MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (log (+ 1 x))>
#<alt (/ (log (- 1 x)) (log (+ 1 x)))>
#<alt (log (- 1 x))>
#<alt (- 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) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<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 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 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

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	inf	(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms	x	@	0	(log (+ 1 x))
0.0ms	x	@	inf	(log (+ 1 x))
0.0ms	x	@	-inf	(log (+ 1 x))

rewrite616.0ms (5.1%)

Memory

-65.7MiB live, 696.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 056×	`-lowering-.f32`
3 056×	`-lowering-.f64`
2 824×	`accelerator-lowering-fma.f32`
2 824×	`accelerator-lowering-fma.f64`
2 298×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	36	23
2	240	23
3	2162	23
0	10437	15

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 842

Calls

Call 1

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

simplify675.0ms (5.6%)

Memory

23.1MiB live, 816.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 270×	`accelerator-lowering-fma.f32`
12 270×	`accelerator-lowering-fma.f64`
4 396×	`+-lowering-+.f64`
4 396×	`+-lowering-+.f32`
3 574×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1122
1	658	1000
2	2014	927
0	8293	900

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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 (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 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)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -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 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (/.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) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(-.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 x x)))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (log.f64 x) (.f64 x (.f64 x x))))))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))))) (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))))))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) 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))

eval117.0ms (1%)

Memory: -23.8MiB live, 203.1MiB allocated
Compiler: Compiled 28 977 to 2 474 computations (91.5% saved)

prune164.0ms (1.4%)

Memory

-6.6MiB live, 282.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	891	11	902
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	891	12	903

Accuracy

100.0%

Counts

903 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
▶	98.8%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
	6.2%	(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	5.9%	(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	6.8%	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	7.3%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	7.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
	7.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	5.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	98.9%	(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
	98.0%	(-.f64 #s(literal -1 binary64) x)
▶	96.7%	#s(literal -1 binary64)

Compiler

Compiled 260 to 179 computations (31.2% saved)

simplify556.0ms (4.6%)

Memory

29.9MiB live, 704.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(log1p.f64 x)
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	cost-diff	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))

Rules

14 672×	`accelerator-lowering-fma.f32`
14 672×	`accelerator-lowering-fma.f64`
2 272×	`+-lowering-+.f64`
2 272×	`-lowering-.f32`
2 272×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	145
1	86	145
2	199	145
3	468	145
4	902	145
5	1401	145
6	1970	145
7	2814	145
8	3522	145
9	5058	145
10	6028	145
11	6184	145
12	6476	145
13	6789	145
14	6944	145
15	7208	145
16	7469	145
17	7479	145
18	7483	145
19	7487	145
20	7487	145
0	8067	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
x
(+ (* x (+ (* x -5/12) -1/2)) -1)
(+ (* x -5/12) -1/2)
-5/12
-1/2
-1
-1
(+ (* x (+ (* x -1/2) -1)) -1)
x
(+ (* x -1/2) -1)
-1/2
-1
(/ (log (- 1 x)) (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)))
(log (- 1 x))
(- 1 x)
1
x
(* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
1
x
(log (+ 1 x))

Outputs
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(+ (* x (+ (* x -5/12) -1/2)) -1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x -5/12) -1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
-5/12
#s(literal -5/12 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* x (+ (* x -1/2) -1)) -1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(+ (* x -1/2) -1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(/ (log (- 1 x)) (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ (* 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 -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)
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)

localize252.0ms (2.1%)

Memory

-28.6MiB live, 432.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	accuracy	9.9%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	9.9%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))

Samples

104.0ms	84×	2	valid
94.0ms	160×	1	valid
3.0ms	12×	0	valid

Compiler

Compiled 122 to 31 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 81.0ms (47.1% of total)

ival-log: 34.0ms (19.8% of total)

ival-add: 18.0ms (10.5% of total)

adjust: 13.0ms (7.6% of total)

const: 13.0ms (7.6% of total)

ival-div: 7.0ms (4.1% of total)

ival-sub: 3.0ms (1.7% of total)

ival-log1p: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series12.0ms (0.1%)

Memory

-1.5MiB live, 37.3MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)>
#<alt (+ (* x (+ (* x -5/12) -1/2)) -1)>
#<alt (+ (* x -5/12) -1/2)>
#<alt (+ (* x (+ (* x -1/2) -1)) -1)>
#<alt (+ (* x -1/2) -1)>
#<alt (/ (log (- 1 x)) (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)))>
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)>
#<alt (/ (log (- 1 x)) (log (+ 1 x)))>
#<alt (log (+ 1 x))>
#<alt (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1))>
#<alt (+ (* x -1/4) 1/3)>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt -1/2>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<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 (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<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 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<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 (* 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 1/3>
#<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

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (log (- 1 x)) (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)))
2.0ms	x	@	0	(log (- 1 x))
1.0ms	x	@	-inf	(/ (log (- 1 x)) (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)))
1.0ms	x	@	0	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)

rewrite372.0ms (3.1%)

Memory

4.5MiB live, 755.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 284×	`/-lowering-/.f32`
4 284×	`/-lowering-/.f64`
4 236×	`accelerator-lowering-fma.f32`
4 236×	`accelerator-lowering-fma.f64`
3 408×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	114
1	205	114
2	1721	114
0	8459	88

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 498

Calls

Call 1

Inputs
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
(+ (* x (+ (* x -5/12) -1/2)) -1)
(+ (* x -5/12) -1/2)
(+ (* x (+ (* x -1/2) -1)) -1)
(+ (* x -1/2) -1)
(/ (log (- 1 x)) (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)))
(log (- 1 x))
(- 1 x)
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(/ (log (- 1 x)) (log (+ 1 x)))
(log (+ 1 x))
(* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1))
(+ (* x -1/4) 1/3)

Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
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(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
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simplify460.0ms (3.8%)

Memory

47.3MiB live, 668.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 996×	`accelerator-lowering-fma.f32`
7 996×	`accelerator-lowering-fma.f64`
4 932×	`-lowering-.f32`
4 932×	`-lowering-.f64`
3 294×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	2318
1	1240	2116
2	4223	2078
0	8112	1960

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
-1/2
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
-1
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(* -1 x)
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(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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 (* 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))
1/3
(+ 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
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
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-1
#s(literal -1 binary64)
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(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
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(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (.f64 x x))
-1/2
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(- (* -5/12 x) 1/2)
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(- (* -5/12 x) 1/2)
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(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
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(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 x) 1)
(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))
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-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
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(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -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 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) (/.f64 (/.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)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 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 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 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)))
1/3
#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))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))

eval161.0ms (1.3%)

Memory: -5.1MiB live, 187.5MiB allocated
Compiler: Compiled 20 122 to 2 194 computations (89.1% saved)

prune131.0ms (1.1%)

Memory

-22.5MiB live, 177.1MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	735	9	744
Fresh	4	2	6
Picked	2	3	5
Done	1	0	1
Total	742	14	756

Accuracy

100.0%

Counts

756 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
✓	99.2%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	98.8%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶	99.2%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
	99.4%	(/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	98.1%	(/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	100.0%	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
	98.9%	(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
▶	99.2%	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
▶	98.8%	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
	98.8%	(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
▶	98.0%	(-.f64 #s(literal -1 binary64) x)
✓	96.7%	#s(literal -1 binary64)

Compiler

Compiled 315 to 210 computations (33.3% saved)

simplify154.0ms (1.3%)

Memory

-1.2MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	-64	(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
✓	cost-diff	0	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	cost-diff	192	(+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
✓	cost-diff	192	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	cost-diff	192	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	cost-diff	192	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))

Rules

2 488×	`accelerator-lowering-fma.f32`
2 488×	`accelerator-lowering-fma.f64`
680×	`-lowering-.f32`
680×	`-lowering-.f64`
644×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	150
1	68	150
2	137	150
3	305	150
4	523	150
5	936	150
6	1612	150
7	2267	150
8	2593	150
9	2687	150
10	2704	150
11	2706	150
12	2710	150
0	2710	124

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
0
x
(log (+ 1 x))
(- -1 x)
-1
x
(- (+ -1 (* -1/2 (* x x))) x)
(+ -1 (* -1/2 (* x x)))
-1
(* -1/2 (* x x))
-1/2
(* x x)
x
(- (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) x)
(+ -1 (* (+ (* x -5/12) -1/2) (* x x)))
-1
(* (+ (* x -5/12) -1/2) (* x x))
(+ (* x -5/12) -1/2)
x
-5/12
-1/2
(* x x)
(+ (* x (/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))) -1)
x
(/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))
1
(/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1))
(+ (* x (+ (* x -5/12) -1/2)) -1)
(+ (* x -5/12) -1/2)
-5/12
-1/2
-1

Outputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (- 0 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(- (+ -1 (* -1/2 (* x x))) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(+ -1 (* -1/2 (* x x)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* -1/2 (* x x))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(- (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(+ -1 (* (+ (* x -5/12) -1/2) (* x x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ (* x -5/12) -1/2) (* x x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x -5/12) -1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
x
-5/12
#s(literal -5/12 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (* x (+ (* x -5/12) -1/2)) -1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x -5/12) -1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
-5/12
#s(literal -5/12 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)

localize101.0ms (0.8%)

Memory

-7.7MiB live, 108.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
✓	accuracy	100.0%	(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	99.9%	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))

Samples

54.0ms

256×

valid

Compiler

Compiled 143 to 28 computations (80.4% saved)

Precisions

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

const: 11.0ms (28.3% of total)

ival-mult: 9.0ms (23.1% of total)

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

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

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

ival-log1p: 3.0ms (7.7% of total)

exact: 1.0ms (2.6% of total)

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

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

series7.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (log (+ 1 (- 0 x))) (log (+ 1 x)))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (log (+ 1 x))>
#<alt (- -1 x)>
#<alt (- (+ -1 (* -1/2 (* x x))) x)>
#<alt (+ -1 (* -1/2 (* x x)))>
#<alt (* -1/2 (* x x))>
#<alt (* x x)>
#<alt (- (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) x)>
#<alt (+ -1 (* (+ (* x -5/12) -1/2) (* x x)))>
#<alt (+ (* x -5/12) -1/2)>
#<alt (* (+ (* x -5/12) -1/2) (* x x))>
#<alt (/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))>
#<alt (+ (* x (/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))) -1)>
#<alt (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1))>
#<alt (+ (* x (+ (* x -5/12) -1/2)) -1)>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<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 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<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) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt -1/2>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -5/12 x) 1/2))>
#<alt (* (pow x 2) (- (* -5/12 x) 1/2))>
#<alt (* (pow x 2) (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* 1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (+ 1/6 (* -7/24 x))))) 1)>
#<alt (/ -12/5 (pow x 2))>
#<alt (/ (- (* 72/25 (/ 1 x)) 12/5) (pow x 2))>
#<alt (/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) 12/5) (pow x 2))>
#<alt (/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) (+ 12/5 (* 6048/625 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ -12/5 (pow x 2))>
#<alt (/ (- (* 72/25 (/ 1 x)) 12/5) (pow x 2))>
#<alt (/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) 12/5) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- 288/125 (* 6048/625 (/ 1 x))) x)) 72/25) x)) 12/5) (pow x 2))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* -1/2 (* x x))
0.0ms	x	@	-inf	(+ -1 (* (+ (* x -5/12) -1/2) (* x x)))
0.0ms	x	@	inf	(+ -1 (* -1/2 (* x x)))
0.0ms	x	@	inf	(/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1))
0.0ms	x	@	0	(* -1/2 (* x x))

rewrite518.0ms (4.3%)

Memory

-24.8MiB live, 508.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 850×	`-lowering-.f32`
3 850×	`-lowering-.f64`
3 420×	`accelerator-lowering-fma.f32`
3 420×	`accelerator-lowering-fma.f64`
3 370×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
1	208	126
2	1845	125
0	9965	99

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 971

Calls

Call 1

Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(log (+ 1 x))
(- -1 x)
(- (+ -1 (* -1/2 (* x x))) x)
(+ -1 (* -1/2 (* x x)))
(* -1/2 (* x x))
(* x x)
(- (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) x)
(+ -1 (* (+ (* x -5/12) -1/2) (* x x)))
(+ (* x -5/12) -1/2)
(* (+ (* x -5/12) -1/2) (* x x))
(/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))
(+ (* x (/ 1 (/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1)))) -1)
(/ 1 (+ (* x (+ (* x -5/12) -1/2)) -1))
(+ (* x (+ (* x -5/12) -1/2)) -1)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (fma.f64 x x #s(literal 0 binary64))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (fma.f64 x x #s(literal 0 binary64))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(log1p.f64 x)
x
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) x #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (/.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x x) x)
(*.f64 (/.f64 x x) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (fma.f64 x x #s(literal 0 binary64))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(log1p.f64 x)
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal -1 binary64) x)
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x x) x #s(literal -1 binary64))
(fma.f64 (/.f64 x x) (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) x)
(+.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) x)
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simplify563.0ms (4.7%)

Memory

32.0MiB live, 976.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 272×	`accelerator-lowering-fma.f32`
18 272×	`accelerator-lowering-fma.f64`
5 248×	`+-lowering-+.f64`
5 248×	`+-lowering-+.f32`
4 350×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	2260
1	941	2113
2	3066	1997
0	8224	1888

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
-1
(- (* -1/2 (pow x 2)) 1)
(- (* -1/2 (pow x 2)) 1)
(- (* -1/2 (pow x 2)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
-1/2
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* 1/6 x))) 1)
(- (* x (+ 1/2 (* x (+ 1/6 (* -7/24 x))))) 1)
(/ -12/5 (pow x 2))
(/ (- (* 72/25 (/ 1 x)) 12/5) (pow x 2))
(/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) 12/5) (pow x 2))
(/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) (+ 12/5 (* 6048/625 (/ 1 (pow x 3))))) (pow x 2))
(/ -12/5 (pow x 2))
(/ (- (* 72/25 (/ 1 x)) 12/5) (pow x 2))
(/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) 12/5) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- 288/125 (* 6048/625 (/ 1 x))) x)) 72/25) x)) 12/5) (pow x 2))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))

Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 x x)))) (-.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 x x))) (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (log.f64 x)))) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* -5/12 x) 1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(- (* -5/12 x) 1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(- (* -5/12 x) 1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* -5/12 x) 1/2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -5/12 x) 1/2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -5/12 x) 1/2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(* -5/12 (pow x 3))
(.f64 x (.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* 1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (+ 1/6 (* -7/24 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/ -12/5 (pow x 2))
(/.f64 #s(literal -12/5 binary64) (*.f64 x x))
(/ (- (* 72/25 (/ 1 x)) 12/5) (pow x 2))
(/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal 72/25 binary64) x)) (*.f64 x x))
(/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) 12/5) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 72/25 binary64) x) (+.f64 (/.f64 #s(literal 288/125 binary64) (.f64 x x)) #s(literal -12/5 binary64))) (.f64 x x))
(/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) (+ 12/5 (* 6048/625 (/ 1 (pow x 3))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 72/25 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 288/125 binary64) (/.f64 #s(literal -6048/625 binary64) x)) x) x) #s(literal -12/5 binary64))) (*.f64 x x))
(/ -12/5 (pow x 2))
(/.f64 #s(literal -12/5 binary64) (*.f64 x x))
(/ (- (* 72/25 (/ 1 x)) 12/5) (pow x 2))
(/.f64 (+.f64 #s(literal -12/5 binary64) (/.f64 #s(literal 72/25 binary64) x)) (*.f64 x x))
(/ (- (+ (* 72/25 (/ 1 x)) (/ 288/125 (pow x 2))) 12/5) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 72/25 binary64) x) (+.f64 (/.f64 #s(literal 288/125 binary64) (.f64 x x)) #s(literal -12/5 binary64))) (.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- 288/125 (* 6048/625 (/ 1 x))) x)) 72/25) x)) 12/5) (pow x 2))
(/.f64 (-.f64 #s(literal -12/5 binary64) (/.f64 (-.f64 #s(literal -72/25 binary64) (/.f64 (+.f64 #s(literal 288/125 binary64) (/.f64 #s(literal -6048/625 binary64) x)) x)) x)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -5/12 (pow x 2))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))

eval201.0ms (1.7%)

Memory: 15.5MiB live, 470.0MiB allocated
Compiler: Compiled 38 580 to 3 094 computations (92% saved)

prune113.0ms (0.9%)

Memory

31.3MiB live, 307.8MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 283	5	1 288
Fresh	3	3	6
Picked	4	1	5
Done	0	3	3
Total	1 290	12	1 302

Accuracy

100.0%

Counts

1 302 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
✓	99.2%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	98.8%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
	99.4%	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	98.8%	(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
▶	99.2%	(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
	98.8%	(-.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
▶	98.9%	(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
▶	98.8%	(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	98.0%	(-.f64 #s(literal -1 binary64) x)
✓	96.7%	#s(literal -1 binary64)

Compiler

Compiled 199 to 135 computations (32.2% saved)

simplify570.0ms (4.7%)

Memory

-19.0MiB live, 628.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
✓	cost-diff	13504	(/.f64 (log1p.f64 x) (log1p.f64 x))
✓	cost-diff	-64	(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64))
✓	cost-diff	192	(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	192	(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
✓	cost-diff	-64	(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	192	(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(log1p.f64 (neg.f64 x))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Rules

20 096×	`accelerator-lowering-fma.f32`
20 096×	`accelerator-lowering-fma.f64`
5 756×	`+-lowering-+.f64`
5 756×	`+-lowering-+.f32`
3 328×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	153
1	76	153
2	147	153
3	250	153
4	431	153
5	769	153
6	1464	153
7	2438	153
8	3066	153
9	3263	153
10	3345	153
11	3382	153
12	3976	153
13	5237	153
14	5844	153
15	5968	153
16	5970	153
17	5970	153
18	6064	153
19	6064	153
0	8634	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(neg x)
x
(log (+ 1 x))
(- (* x (+ (* x -1/2) -1)) 1)
(* x (+ (* x -1/2) -1))
x
(+ (* x -1/2) -1)
-1/2
-1
1
(- (+ (* (+ (* x x) 0) -1/2) -1) x)
(+ (* (+ (* x x) 0) -1/2) -1)
(+ (* x x) 0)
x
0
-1/2
-1
(- (+ (* (* x (+ (* x -5/12) -1/2)) x) -1) x)
(+ (* (* x (+ (* x -5/12) -1/2)) x) -1)
(* x (+ (* x -5/12) -1/2))
x
(+ (* x -5/12) -1/2)
-5/12
-1/2
-1
(- (/ (log (- 1 (* x x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
(/ (log (- 1 (* x x))) (log (+ 1 x)))
(log (- 1 (* x x)))
(- 1 (* x x))
1
(* x x)
x
(log (+ 1 x))
(/ (log (+ 1 x)) (log (+ 1 x)))

Outputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (neg x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(log (+ 1 x))
(log1p.f64 x)
(- (* x (+ (* x -1/2) -1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* x (+ (* x -1/2) -1))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* x -1/2) -1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(- (+ (* (+ (* x x) 0) -1/2) -1) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(+ (* (+ (* x x) 0) -1/2) -1)
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(- (+ (* (* x (+ (* x -5/12) -1/2)) x) -1) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(+ (* (* x (+ (* x -5/12) -1/2)) x) -1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* x (+ (* x -5/12) -1/2))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
x
(+ (* x -5/12) -1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
-5/12
#s(literal -5/12 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(- (/ (log (- 1 (* x x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (log1p.f64 x)))
(/ (log (- 1 (* x x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (log1p.f64 x))
(log (- 1 (* x x)))
(log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(log (+ 1 x))
(log1p.f64 x)
(/ (log (+ 1 x)) (log (+ 1 x)))
#s(literal 1 binary64)

localize267.0ms (2.2%)

Memory

14.9MiB live, 172.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	60.5%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x))
✓	accuracy	48.6%	(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	99.9%	(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Samples

112.0ms	195×	1	valid
45.0ms	51×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 143 to 32 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-log: 46.0ms (35.9% of total)

ival-mult: 21.0ms (16.4% of total)

adjust: 13.0ms (10.1% of total)

ival-sub: 11.0ms (8.6% of total)

ival-add: 11.0ms (8.6% of total)

ival-div: 10.0ms (7.8% of total)

ival-log1p: 7.0ms (5.5% of total)

const: 4.0ms (3.1% of total)

ival-neg: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series56.0ms (0.5%)

Memory

-54.5MiB live, 9.4MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg x)))>
#<alt (log (+ 1 x))>
#<alt (neg x)>
#<alt (- (* x (+ (* x -1/2) -1)) 1)>
#<alt (+ (* x -1/2) -1)>
#<alt (* x (+ (* x -1/2) -1))>
#<alt (- (+ (* (+ (* x x) 0) -1/2) -1) x)>
#<alt (+ (* (+ (* x x) 0) -1/2) -1)>
#<alt (+ (* x x) 0)>
#<alt (- (+ (* (* x (+ (* x -5/12) -1/2)) x) -1) x)>
#<alt (+ (* (* x (+ (* x -5/12) -1/2)) x) -1)>
#<alt (+ (* x -5/12) -1/2)>
#<alt (* x (+ (* x -5/12) -1/2))>
#<alt (/ (log (+ 1 x)) (log (+ 1 x)))>
#<alt (- (/ (log (- 1 (* x x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))>
#<alt (/ (log (- 1 (* x x))) (log (+ 1 x)))>
#<alt (log (- 1 (* x x)))>
#<alt (- 1 (* x x))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<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 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<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 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<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 (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt -1>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt -1/2>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))>
#<alt (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log (- 1 (* x x)))
1.0ms	x	@	-inf	(- (/ (log (- 1 (* x x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
1.0ms	x	@	inf	(- (/ (log (- 1 (* x x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
0.0ms	x	@	-inf	(/ (log (- 1 (* x x))) (log (+ 1 x)))
0.0ms	x	@	inf	(log (- 1 (* x x)))

rewrite668.0ms (5.5%)

Memory

30.4MiB live, 497.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 874×	`accelerator-lowering-fma.f32`
7 874×	`accelerator-lowering-fma.f64`
4 582×	`-lowering-.f32`
4 582×	`-lowering-.f64`
4 096×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	135
1	231	135
2	1987	111
0	9559	87

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 041

Calls

Call 1

Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(log (+ 1 x))
(neg x)
(- (* x (+ (* x -1/2) -1)) 1)
(+ (* x -1/2) -1)
(* x (+ (* x -1/2) -1))
(- (+ (* (+ (* x x) 0) -1/2) -1) x)
(+ (* (+ (* x x) 0) -1/2) -1)
(+ (* x x) 0)
(- (+ (* (* x (+ (* x -5/12) -1/2)) x) -1) x)
(+ (* (* x (+ (* x -5/12) -1/2)) x) -1)
(+ (* x -5/12) -1/2)
(* x (+ (* x -5/12) -1/2))
(/ (log (+ 1 x)) (log (+ 1 x)))
(- (/ (log (- 1 (* x x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
(/ (log (- 1 (* x x))) (log (+ 1 x)))
(log (- 1 (* x x)))
(- 1 (* x x))

Outputs
#s(literal 1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (log1p.f64 x))
(-.f64 (log1p.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))))
(log1p.f64 x)
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(log1p.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (log1p.f64 x))
(-.f64 (log1p.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))))
(log1p.f64 x)
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(log1p.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) x))
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simplify565.0ms (4.7%)

Memory

7.3MiB live, 595.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 266×	`accelerator-lowering-fma.f32`
12 266×	`accelerator-lowering-fma.f64`
4 860×	`-lowering-.f32`
4 860×	`-lowering-.f64`
4 248×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	3632
1	1217	3397
2	4105	3307
0	8715	3118

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(+ (log -1) (* -2 (log (/ -1 x))))
(fma.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (fma.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

eval184.0ms (1.5%)

Memory: 6.5MiB live, 360.1MiB allocated
Compiler: Compiled 39 387 to 3 558 computations (91% saved)

prune172.0ms (1.4%)

Memory

9.3MiB live, 325.0MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 389	3	1 392
Fresh	2	1	3
Picked	3	2	5
Done	0	4	4
Total	1 394	10	1 404

Accuracy

100.0%

Counts

1 404 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (-.f64 #s(literal -1 binary64) x))
✓	99.2%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	98.8%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
	99.4%	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.2%	(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
	98.8%	(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
	98.9%	(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
✓	98.0%	(-.f64 #s(literal -1 binary64) x)
✓	96.7%	#s(literal -1 binary64)

Compiler

Compiled 402 to 149 computations (62.9% saved)

regimes17.0ms (0.1%)

Memory

-8.2MiB live, 30.9MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (-.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

9.0ms	x
7.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-8.3MiB live, 30.3MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (-.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Outputs
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (-.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)

Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-28.0MiB live, 9.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
98.0%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	27	39
2	30	39
3	31	39

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness796.0ms (6.6%)

Memory

-22.7MiB live, 756.9MiB allocated

Rules

18 272×	`accelerator-lowering-fma.f32`
18 272×	`accelerator-lowering-fma.f64`
12 270×	`accelerator-lowering-fma.f32`
12 270×	`accelerator-lowering-fma.f64`
5 248×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
1	208	126
2	1845	125
0	9965	99
0	302	2260
1	941	2113
2	3066	1997
0	8224	1888
0	7	23
1	36	23
2	240	23
3	2162	23
0	10437	15
0	217	1122
1	658	1000
2	2014	927
0	8293	900
0	30	114
1	205	114
2	1721	114
0	8459	88

Stop Event

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

Compiler

Compiled 128 to 82 computations (35.9% saved)

preprocess105.0ms (0.9%)

Memory: -15.4MiB live, 101.6MiB allocated
Compiler: Compiled 116 to 68 computations (41.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	30
1	30	28
2	48	28
3	84	28
4	120	28
5	158	28
6	181	28
7	194	28
8	202	28
9	204	28
0	7	9
1	12	9
2	16	9
3	21	9
4	28	9
5	36	9
6	46	9
7	60	9
8	64	9
0	64	6

Iter	Nodes	Cost
0	14	30
1	30	28
2	48	28
3	84	28
4	120	28
5	158	28
6	181	28
7	194	28
8	202	28
9	204	28
0	7	9
1	12	9
2	16	9
3	21	9
4	28	9
5	36	9
6	46	9
7	60	9
8	64	9
0	64	6

analyze4.0ms (0%)

sample3.1s (25.7%)

preprocess18.0ms (0.1%)

explain223.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize85.0ms (0.7%)

series8.0ms (0.1%)

rewrite616.0ms (5.1%)

simplify675.0ms (5.6%)

eval117.0ms (1%)

prune164.0ms (1.4%)

simplify556.0ms (4.6%)

localize252.0ms (2.1%)

series12.0ms (0.1%)

rewrite372.0ms (3.1%)

simplify460.0ms (3.8%)

eval161.0ms (1.3%)

prune131.0ms (1.1%)

simplify154.0ms (1.3%)

localize101.0ms (0.8%)

series7.0ms (0.1%)

rewrite518.0ms (4.3%)

simplify563.0ms (4.7%)

eval201.0ms (1.7%)

prune113.0ms (0.9%)

simplify570.0ms (4.7%)

localize267.0ms (2.2%)

series56.0ms (0.5%)

rewrite668.0ms (5.5%)

simplify565.0ms (4.7%)

eval184.0ms (1.5%)

prune172.0ms (1.4%)

regimes17.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0.1%)

soundness796.0ms (6.6%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	30
1	30	28
2	48	28
3	84	28
4	120	28
5	158	28
6	181	28
7	194	28
8	202	28
9	204	28
0	7	9
1	12	9
2	16	9
3	21	9
4	28	9
5	36	9
6	46	9
7	60	9
8	64	9
0	64	6