Metrics for qlog (example 3.10)

analyze4.0ms (0%)

Memory

12.7MiB live, 12.7MiB 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)

sample2.6s (28.7%)

Memory

1.1MiB live, 3 797.2MiB allocated

Samples

1.2s	3 066×	2	valid
987.0ms	4 867×	1	valid
51.0ms	323×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-log: 1.1s (60.9% of total)

adjust: 177.0ms (9.5% of total)

ival-div: 165.0ms (8.9% of total)

ival-sub: 106.0ms (5.7% of total)

ival-<=: 98.0ms (5.3% of total)

ival-log1p: 82.0ms (4.4% of total)

ival-fabs: 76.0ms (4.1% of total)

exact: 13.0ms (0.7% of total)

ival-assert: 8.0ms (0.4% of total)

Bogosity

preprocess19.0ms (0.2%)

Memory

-14.4MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

explain218.0ms (2.4%)

Memory

1.2MiB live, 277.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
256	-	-	`(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	256	0
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	249	0
-	7	0

Precision

0.97265625

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	0	0
-	7	0	0

Precision?

0.97265625

Recall?

1.0

Freqs

test

number	freq
2	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	188×	2	valid
59.0ms	308×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-log: 60.0ms (56.2% of total)

ival-div: 12.0ms (11.2% of total)

adjust: 12.0ms (11.2% of total)

ival-sub: 11.0ms (10.3% of total)

ival-add: 6.0ms (5.6% of total)

ival-log1p: 4.0ms (3.7% of total)

exact: 1.0ms (0.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.0%	(/.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 (0.1%)

Memory

5.1MiB live, 5.1MiB 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	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	64	(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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log (- 1 x))
(log1p.f64 (neg.f64 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)

localize81.0ms (0.9%)

Memory

2.6MiB live, 85.8MiB 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	8.0%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	8.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

37.0ms	94×	2	valid
32.0ms	154×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-log: 34.0ms (59.1% of total)

ival-sub: 8.0ms (13.9% of total)

adjust: 6.0ms (10.4% of total)

ival-div: 4.0ms (6.9% of total)

ival-add: 3.0ms (5.2% of total)

ival-log1p: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (log (+ 1 x))>
#<alt (log (- 1 x))>
#<alt (/ (log (- 1 x)) (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 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 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>
#<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
2.0ms	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))

rewrite314.0ms (3.4%)

Memory

-23.2MiB live, 259.0MiB 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 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (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 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))))
(+.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 (neg.f64 (log1p.f64 (fma.f64 x x x))) (log1p.f64 (.f64 x (.f64 x x))))
(+.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)))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (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 (neg.f64 x) #s(literal -1 binary64))))
(+.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)))) (log1p.f64 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #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))))) (log1p.f64 (neg.f64 (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 -1 binary64) (neg.f64 (fma.f64 x x x)))))
(+.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) (neg.f64 (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 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.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)))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.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 -1 binary64) (neg.f64 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(.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 -1 binary64) (neg.f64 (fma.f64 x x x)))))
(.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 (neg.f64 x) #s(literal -1 binary64))))
(*.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) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.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 (+.f64 #s(literal 1 binary64) (fma.f64 x x 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 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))))

simplify427.0ms (4.6%)

Memory

45.0MiB live, 356.5MiB 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	2012	927
0	8297	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 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 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
(+ 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)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.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 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(* -1 x)
(neg.f64 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 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 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)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 (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 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (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 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (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 #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 x x)))) (-.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.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 (neg.f64 (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 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (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 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (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 (neg.f64 (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 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 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 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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)
(neg.f64 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)
(neg.f64 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))

eval87.0ms (0.9%)

Memory: 6.7MiB live, 152.1MiB allocated
Compiler: Compiled 28 442 to 2 477 computations (91.3% saved)

prune117.0ms (1.3%)

Memory

-0.1MiB live, 205.2MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	893	9	902
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	893	10	903

Accuracy

100.0%

Counts

903 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(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))
▶	99.7%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶	4.4%	(/.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))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	4.7%	(/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	5.6%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶	4.3%	(/.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)))))
✓	4.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	100.0%	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
	99.4%	(-.f64 #s(literal -1 binary64) x)
▶	98.5%	#s(literal -1 binary64)

Compiler

Compiled 204 to 137 computations (32.8% saved)

simplify283.0ms (3.1%)

Memory

-11.4MiB live, 418.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	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)))))
✓	cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	192	(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(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	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)))
✓	cost-diff	0	(/.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)))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
✓	cost-diff	13504	(/.f64 (log1p.f64 x) (log1p.f64 x))

Rules

13 402×	`accelerator-lowering-fma.f32`
13 402×	`accelerator-lowering-fma.f64`
3 188×	`-lowering-.f32`
3 188×	`-lowering-.f64`
1 914×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	176
1	89	176
2	177	172
3	331	170
4	727	170
5	1692	170
6	5255	170
0	8233	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize259.0ms (2.8%)

Memory

-7.8MiB live, 408.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.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)))))
✓	accuracy	100.0%	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	8.0%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	8.0%	(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.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)))
✓	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%	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
✓	accuracy	8.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	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 #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	accuracy	56.1%	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))

Samples

105.0ms	155×	1	valid
96.0ms	89×	2	valid
6.0ms	5×	3	valid
3.0ms	7×	0	valid

Compiler

Compiled 170 to 35 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-log: 59.0ms (35.3% of total)

ival-add: 24.0ms (14.4% of total)

adjust: 23.0ms (13.8% of total)

ival-mult: 20.0ms (12% of total)

ival-div: 17.0ms (10.2% of total)

const: 7.0ms (4.2% of total)

ival-log1p: 6.0ms (3.6% of total)

ival-sub: 5.0ms (3% of total)

ival-neg: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series20.0ms (0.2%)

Memory

-4.2MiB live, 34.0MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (log (+ 1 x)))
2.0ms	x	@	-inf	(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (log (+ 1 x)))
2.0ms	x	@	0	(log (+ 1 (neg (* x x))))
1.0ms	x	@	-inf	(- (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
1.0ms	x	@	inf	(- (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))

rewrite299.0ms (3.2%)

Memory

-4.0MiB live, 388.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 394×	`/-lowering-/.f32`
4 394×	`/-lowering-/.f64`
4 212×	`-lowering-.f32`
4 212×	`-lowering-.f64`
3 898×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	140
1	247	126
2	2023	126
0	8652	92

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 661

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (log1p.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (log1p.f64 (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (.f64 x x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (log1p.f64 x))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))) (.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x))))) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (neg.f64 (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log1p.f64 x))) (neg.f64 (log1p.f64 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(.f64 (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 x) #s(literal -2 binary64)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.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))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))

simplify312.0ms (3.4%)

Memory

8.0MiB live, 358.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 624×	`accelerator-lowering-fma.f32`
5 624×	`accelerator-lowering-fma.f64`
4 370×	`+-lowering-+.f64`
4 370×	`+-lowering-+.f32`
3 814×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	4253
1	1503	3931
2	5124	3828
0	8377	3659

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -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)))))))
(- (+ (* -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)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -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)
(- (+ (* -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)
(- (+ (* -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)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -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))))))
(- (+ (* -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))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -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)))))))
(+ (* -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)))))))
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(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (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)))
(+ (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)))
-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))))
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)
(* 1/4 (/ (pow x 4) (log (/ 1 x))))
(* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))
(* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))
(* (pow x 4) (- (+ (/ 1/12 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 1 (* (pow x 3) (log (/ 1 x))))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (log (/ 1 x)))) (* 1/8 (/ 1 (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))))
(* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))
(* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -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))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1/2 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 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))))
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(+ (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 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))))
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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)))
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(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
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(* -1 (pow x 2))
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(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
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(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
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(* -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
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(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 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))
(- (+ (* -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 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (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 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 x x)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (log.f64 x))) (.f64 (.f64 x (.f64 x 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 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (.f64 x x)))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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)))
(neg.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 4 binary64)))) (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 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))))) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) 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 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

eval117.0ms (1.3%)

Memory: 9.8MiB live, 129.7MiB allocated
Compiler: Compiled 25 304 to 2 687 computations (89.4% saved)

prune91.0ms (1%)

Memory

19.3MiB live, 136.8MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	982	3	985
Fresh	2	2	4
Picked	3	2	5
Done	1	0	1
Total	988	7	995

Accuracy

100.0%

Counts

995 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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))
✓	99.7%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶	100.0%	(/.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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	100.0%	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
▶	99.4%	(-.f64 #s(literal -1 binary64) x)
✓	98.5%	#s(literal -1 binary64)

Compiler

Compiled 128 to 83 computations (35.2% saved)

simplify461.0ms (5%)

Memory

10.8MiB live, 479.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(log1p.f64 (neg.f64 x))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(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	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)))
✓	cost-diff	640	(/.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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
✓	cost-diff	0	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	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	(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))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(neg.f64 (*.f64 x x))
✓	cost-diff	0	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))

Rules

20 128×	`accelerator-lowering-fma.f32`
20 128×	`accelerator-lowering-fma.f64`
4 780×	`-lowering-.f32`
4 780×	`-lowering-.f64`
2 600×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	210
1	113	210
2	301	210
3	609	210
4	1117	208
5	2146	206
6	4743	206
0	8406	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize112.0ms (1.2%)

Memory

-43.7MiB live, 133.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	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	100.0%	(/.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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
✓	accuracy	99.9%	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 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))
✓	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%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	accuracy	56.1%	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))

Samples

67.0ms

256×

valid

Compiler

Compiled 170 to 39 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 17.0ms (33.7% of total)

ival-add: 10.0ms (19.8% of total)

const: 9.0ms (17.8% of total)

ival-div: 5.0ms (9.9% of total)

ival-log1p: 5.0ms (9.9% of total)

ival-sub: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (- (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) 1)>
#<alt (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg (* x x))))>
#<alt (neg (* x x))>
#<alt (- -1 x)>
#<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 (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (* x x) (+ (* x (+ (* x -1/4) 1/3)) -1/2)) x))>
#<alt (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))>
#<alt (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)>
#<alt (+ (* x (+ (* x -1/4) -1/3)) -1/2)>
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (log (+ 1 x))>
#<alt (+ (* x -1/4) -1/3)>
#<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 (- (* -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 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt -1>
#<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 (- (* 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 (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) 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 (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt -1/2>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<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 -1/3>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<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)))))>
#<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)))))>
#<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

54 calls:

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

rewrite363.0ms (3.9%)

Memory

27.2MiB live, 379.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 078×	`accelerator-lowering-fma.f32`
5 078×	`accelerator-lowering-fma.f64`
4 648×	`-lowering-.f32`
4 648×	`-lowering-.f64`
4 346×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	161
1	281	161
2	2509	161
0	9748	121

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 521

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (log1p.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (log1p.f64 (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 x))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (.f64 x x)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))) (.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(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))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.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))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))

simplify418.0ms (4.5%)

Memory

-8.6MiB live, 522.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 148×	`accelerator-lowering-fma.f32`
9 148×	`accelerator-lowering-fma.f64`
4 616×	`-lowering-.f32`
4 616×	`-lowering-.f64`
3 836×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	3691
1	1364	3449
2	4603	3349
0	8075	3170

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -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)))))))
(- (+ (* -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)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -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)
(- (+ (* -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)
(- (+ (* -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)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -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))))))
(- (+ (* -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))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -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)))))))
(+ (* -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)))))))
(+ (* -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 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (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)))
(+ (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)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
-1
(- (* -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 (- (* 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 (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) 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))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
-1/2
(- (* -1/3 x) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
-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)))
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(* -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))))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -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)))))
(* -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)))))
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))
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
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(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
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(* -1 x)
(neg.f64 x)
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(* x (- (* x (- (* -5/12 x) 1/2)) 1))
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(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
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(neg.f64 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 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.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 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -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 (log.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) 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 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))

eval116.0ms (1.3%)

Memory: -3.3MiB live, 186.8MiB allocated
Compiler: Compiled 20 750 to 2 327 computations (88.8% saved)

prune85.0ms (0.9%)

Memory

-13.4MiB live, 161.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	769	2	771
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	771	7	778

Accuracy

100.0%

Counts

778 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
✓	99.7%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	100.0%	(/.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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
▶	100.0%	(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 1 binary64))
▶	100.0%	(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	99.4%	(-.f64 #s(literal -1 binary64) x)
✓	98.5%	#s(literal -1 binary64)

Compiler

Compiled 87 to 57 computations (34.5% saved)

simplify336.0ms (3.6%)

Memory

-7.4MiB live, 462.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 x))
✓	cost-diff	128	(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	128	(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))

Rules

13 110×	`accelerator-lowering-fma.f32`
13 110×	`accelerator-lowering-fma.f64`
3 760×	`-lowering-.f32`
3 760×	`-lowering-.f64`
2 174×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	172
1	81	172
2	224	166
3	528	166
4	1136	166
5	1968	166
6	3655	166
7	5961	166
0	8061	139

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)) 1)
(* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1))
x
(+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)
(+ (* x (+ (* x -7/24) -5/12)) -1/2)
(+ (* x -7/24) -5/12)
-7/24
-5/12
-1/2
-1
1
(- (/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x))) 1)
(/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x)))
(* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1))
(* x x)
x
(+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)
(* x (+ (* x (* x -1/3)) -1/2))
(+ (* x (* x -1/3)) -1/2)
(* x -1/3)
-1/3
-1/2
-1
(log (+ 1 x))
1

Outputs
(- (* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x (+ (* x -7/24) -5/12)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(+ (* x -7/24) -5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
-7/24
#s(literal -7/24 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) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x))) 1)
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (log1p.f64 x)) #s(literal -1 binary64))
(/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 x))
(* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(* x x)
(*.f64 x x)
x
(+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* x (+ (* x (* x -1/3)) -1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(+ (* x (* x -1/3)) -1/2)
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(log (+ 1 x))
(log1p.f64 x)
1
#s(literal 1 binary64)

localize99.0ms (1.1%)

Memory

28.8MiB live, 67.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	56.1%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 x))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

Samples

49.0ms

256×

valid

Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 15.0ms (41.1% of total)

const: 10.0ms (27.4% of total)

ival-add: 6.0ms (16.5% of total)

ival-div: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-log1p: 2.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory

-40.7MiB live, 14.2MiB allocated

Counts

11 → 132

Calls

Call 1

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

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 (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))>
#<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 (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)>
#<alt (* -7/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (+ (/ 1/2 (pow x 2)) (* 5/12 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) x)))))>
#<alt -1/2>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* x (- (* -7/24 x) 5/12)) 1/2)>
#<alt (- (* x (- (* -7/24 x) 5/12)) 1/2)>
#<alt (* -7/24 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* -7/24 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* 1/3 (/ (pow x 6) (log (/ 1 x))))>
#<alt (* (pow x 6) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/3 (/ 1 (* x (pow (log (/ 1 x)) 2))))))>
#<alt (* (pow x 6) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x)))))) (pow x 2))) (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (* 1/3 (/ 1 (log (/ 1 x)))))))>
#<alt (* (pow x 6) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x)))))) (pow x 2))) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x)))))) (log (/ 1 x)))) (* 1/9 (/ 1 (pow (log (/ 1 x)) 2))))) (pow x 3))) (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (* 1/3 (/ 1 (log (/ 1 x))))))))>
#<alt (* -1/3 (/ (pow x 6) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 6) (- (* -1 (/ (- (+ (/ 1/6 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* 1/6 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))) (+ (/ 1/9 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/6 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))))) (* -1 (/ (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<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 (* 1/3 (/ (pow x 6) (log (/ 1 x))))>
#<alt (* (pow x 6) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/3 (/ 1 (* x (pow (log (/ 1 x)) 2))))))>
#<alt (* (pow x 6) (- (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (* 1/3 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 3))))))) (* 1/6 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))>
#<alt (* (pow x 6) (- (+ (/ 1/9 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (* 1/3 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 3)))))))) (+ (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x))))) (* 1/6 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/6 (* (pow x 3) (pow (log (/ 1 x)) 3))) (* 1/6 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))))>
#<alt (* -1/3 (/ (pow x 6) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 6) (- (* -1 (/ (- (+ (/ 1/6 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/9 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4))) (/ 1/2 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* 1/6 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 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) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* -1/3 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))>
#<alt (* -1/3 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -5/12>
#<alt (- (* -7/24 x) 5/12)>
#<alt (- (* -7/24 x) 5/12)>
#<alt (- (* -7/24 x) 5/12)>
#<alt (* -7/24 x)>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 x)>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 1/2))>
#<alt (* x (- (* -1/3 (pow x 2)) 1/2))>
#<alt (* x (- (* -1/3 (pow x 2)) 1/2))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))>

Calls

33 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(* x (+ (* x (* x -1/3)) -1/2))
2.0ms	x	@	inf	(- (/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x))) 1)
2.0ms	x	@	-inf	(- (/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x))) 1)
1.0ms	x	@	-inf	(/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x)))
1.0ms	x	@	inf	(/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x)))

rewrite322.0ms (3.5%)

Memory

16.0MiB live, 523.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 008×	`accelerator-lowering-fma.f32`
5 008×	`accelerator-lowering-fma.f64`
4 136×	`-lowering-.f32`
4 136×	`-lowering-.f64`
4 052×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	137
1	182	137
2	1580	131
0	8224	110

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 438

Calls

Call 1

Inputs
(- (* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)) 1)
(* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1))
(+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)
(+ (* x (+ (* x -7/24) -5/12)) -1/2)
(- (/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x))) 1)
(/ (* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1)) (log (+ 1 x)))
(* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1))
(* x x)
(+ (* x -7/24) -5/12)
(* x -1/3)
(* x (+ (* x (* x -1/3)) -1/2))

Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))) x (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))

simplify442.0ms (4.8%)

Memory

22.3MiB live, 534.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 272×	`accelerator-lowering-fma.f32`
13 272×	`accelerator-lowering-fma.f64`
4 972×	`-lowering-.f32`
4 972×	`-lowering-.f64`
4 742×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1818
1	744	1767
2	2525	1662
0	8501	1606

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)
(* -7/24 (pow x 3))
(* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 (pow x 3))
(* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 7/24 (+ (/ 1/2 (pow x 2)) (* 5/12 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 7/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) x)))))
-1/2
(- (* -5/12 x) 1/2)
(- (* x (- (* -7/24 x) 5/12)) 1/2)
(- (* x (- (* -7/24 x) 5/12)) 1/2)
(* -7/24 (pow x 2))
(* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* -7/24 (pow x 2))
(* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* 1/3 (/ (pow x 6) (log (/ 1 x))))
(* (pow x 6) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/3 (/ 1 (* x (pow (log (/ 1 x)) 2))))))
(* (pow x 6) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x)))))) (pow x 2))) (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (* 1/3 (/ 1 (log (/ 1 x)))))))
(* (pow x 6) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x)))))) (pow x 2))) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x)))))) (log (/ 1 x)))) (* 1/9 (/ 1 (pow (log (/ 1 x)) 2))))) (pow x 3))) (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (* 1/3 (/ 1 (log (/ 1 x))))))))
(* -1/3 (/ (pow x 6) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 6) (- (* 1/3 (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 6) (- (* -1 (/ (- (+ (/ 1/6 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* 1/6 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))) (+ (/ 1/9 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/6 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))))) (* -1 (/ (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* 1/3 (/ (pow x 6) (log (/ 1 x))))
(* (pow x 6) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/3 (/ 1 (* x (pow (log (/ 1 x)) 2))))))
(* (pow x 6) (- (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (* 1/3 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 3))))))) (* 1/6 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))
(* (pow x 6) (- (+ (/ 1/9 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (pow (log (/ 1 x)) 2))) (+ (* 1/3 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (* 1/3 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 3)))))))) (+ (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/2 (/ 1 (log (/ 1 x))))) (* 1/6 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/6 (* (pow x 3) (pow (log (/ 1 x)) 3))) (* 1/6 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))))
(* -1/3 (/ (pow x 6) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 6) (- (* 1/3 (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 6) (- (* -1 (/ (- (+ (/ 1/6 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/9 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (/ 1/3 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4))) (/ 1/2 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* 1/6 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* -1/3 (pow x 6))
(* -1 (* (pow x 6) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(* -1/3 (pow x 6))
(* -1 (* (pow x 6) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-5/12
(- (* -7/24 x) 5/12)
(- (* -7/24 x) 5/12)
(- (* -7/24 x) 5/12)
(* -7/24 x)
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 x)
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/2 x)
(* x (- (* -1/3 (pow x 2)) 1/2))
(* x (- (* -1/3 (pow x 2)) 1/2))
(* x (- (* -1/3 (pow x 2)) 1/2))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))

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))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 #s(literal 5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -7/24 binary64)))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 #s(literal 5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 #s(literal 5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -7/24 binary64)))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -7/24 binary64) (/.f64 #s(literal 5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
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(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1/3 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 6) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1/3 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 6) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/3))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-5/12
#s(literal -5/12 binary64)
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -7/24 x)
(*.f64 x #s(literal -7/24 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -7/24 x)
(*.f64 x #s(literal -7/24 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* x (- (* -1/3 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* x (- (* -1/3 (pow x 2)) 1/2))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* -1/3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1/3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))

eval84.0ms (0.9%)

Memory: -0.1MiB live, 152.8MiB allocated
Compiler: Compiled 21 798 to 2 002 computations (90.8% saved)

prune72.0ms (0.8%)

Memory

-11.1MiB live, 120.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	568	2	570
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	570	7	577

Accuracy

100.0%

Counts

577 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (log1p.f64 x)) #s(literal -1 binary64))
	100.0%	(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
✓	99.9%	(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))
✓	99.7%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	100.0%	(/.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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
✓	99.4%	(-.f64 #s(literal -1 binary64) x)
✓	98.5%	#s(literal -1 binary64)

Compiler

Compiled 290 to 118 computations (59.3% saved)

regimes10.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

17 → 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))
(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 (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(/.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)))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (log1p.f64 x)) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.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 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.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)

regimes6.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

8 → 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))
(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 (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 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))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))

Calls

2 calls:

3.0ms	x
2.0ms	(/.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)

regimes5.0ms (0.1%)

Memory

-32.0MiB live, 6.9MiB allocated

Counts

4 → 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))
(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))

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:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	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)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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:

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
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)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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
98.5%	1	`x`
98.5%	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)

simplify8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	26	53
2	30	53
3	32	53
4	33	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 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 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
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 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 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)

soundness822.0ms (8.9%)

Memory

0.2MiB live, 424.5MiB allocated

Rules

12 270×	`accelerator-lowering-fma.f32`
12 270×	`accelerator-lowering-fma.f64`
9 148×	`accelerator-lowering-fma.f32`
9 148×	`accelerator-lowering-fma.f64`
5 008×	`accelerator-lowering-fma.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
0	217	1122
1	658	1000
2	2012	927
0	8297	900
0	34	140
1	247	126
2	2023	126
0	8652	92
0	439	3691
1	1364	3449
2	4603	3349
0	8075	3170
0	27	137
1	182	137
2	1580	131
0	8224	110

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 171 to 101 computations (40.9% saved)

preprocess101.0ms (1.1%)

Memory: -10.5MiB live, 65.6MiB allocated
Compiler: Compiled 142 to 70 computations (50.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
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	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
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%)

sample2.6s (28.7%)

preprocess19.0ms (0.2%)

explain218.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize81.0ms (0.9%)

series6.0ms (0.1%)

rewrite314.0ms (3.4%)

simplify427.0ms (4.6%)

eval87.0ms (0.9%)

prune117.0ms (1.3%)

simplify283.0ms (3.1%)

localize259.0ms (2.8%)

series20.0ms (0.2%)

rewrite299.0ms (3.2%)

simplify312.0ms (3.4%)

eval117.0ms (1.3%)

prune91.0ms (1%)

simplify461.0ms (5%)

localize112.0ms (1.2%)

series9.0ms (0.1%)

rewrite363.0ms (3.9%)

simplify418.0ms (4.5%)

eval116.0ms (1.3%)

prune85.0ms (0.9%)

simplify336.0ms (3.6%)

localize99.0ms (1.1%)

series30.0ms (0.3%)

rewrite322.0ms (3.5%)

simplify442.0ms (4.8%)

eval84.0ms (0.9%)

prune72.0ms (0.8%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness822.0ms (8.9%)

preprocess101.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
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